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href="http://dbpedia.org/resource/Moment_of_inertia">Moment of inertia</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> An Entity of Type: <a href="http://www.w3.org/2002/07/owl#Thing">Thing</a>, from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, within Data Space: <a href="http://dbpedia.org">dbpedia.org</a> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation. </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/%D0%9C%D0%B0%D1%85%D0%BE%D0%B2%D0%B8%D0%BA.jpg?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract">dbo:abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">عزم القصور الذاتي (بالإنجليزية: Moment of inertia)‏ أو عزم العطالة، يحسب العزم اللازم للتسارع الزاوي حول محور الدوران للجسم الصلب. يعتمد هذا على توزيع الكتلة للجسم وعلى المحور المختار، مع وجود عزوم أكبر يتطلب المزيد من العزم لتغيير دوران الجسم. هو عبارة عن قيمة مضافة، عزم القصور الذاتي لنظام مركب هو مجموع عزوم القصور الذاتي لأنظمته الفرعية المكونة له (جميعها حول نفس المحور). إحدى تعريفاته هي العزم الثاني للكتلة بالنسبة للمسافة من المحور (ص) إن لحظة القصور الذاتي، والمعروفة باسم عزم الكتلة من القصور الذاتي، أو الكتلة الزاوية أو القصور الذاتي الدوراني، لجسم صلب هي كمية تحدد عزم الدوران المطلوب للتسارع الزاوي المطلوب حول محور الدوران، على غرار كيفية تحديد الكتلة للقوة المطلوبة للتسارع المطلوب. يعتمد ذلك على توزيع كتلة الجسم والمحور المختار، حيث تتطلب اللحظات الأكبر مزيدًا من عزم الدوران لتغيير معدل دوران الجسم. إنها خاصية (مضافة) واسعة النطاق: بالنسبة للكتلة النقطية، فإن لحظة القصور الذاتي هي ببساطة الكتلة مضروبة في مربع المسافة العمودية على محور الدوران. لحظة القصور الذاتي للنظام المركب الصلب هي مجموع لحظات القصور الذاتي للأنظمة الفرعية المكونة له (كلها تقريبًا نفس المحور). أبسط تعريف لها هو اللحظة الثانية للكتلة بالنسبة إلى المسافة من المحور. عن جثث مقيدة للتدوير في طائرة، فقط لحظة من الجمود حول عمودي محور إلى الطائرة، والعددية القيمة، المسائل. بالنسبة للأجسام التي تتمتع بحرية الدوران في ثلاثة أبعاد، يمكن وصف لحظاتها بـ 3 متماثل × 3 مصفوفة، مع مجموعة من المحاور الرئيسية المتعامدة بشكل متبادل والتي تكون فيها هذه المصفوفة قطرية وتعمل عزم الدوران حول المحاور بشكل مستقل عن بعضها البعض. بالنسبة للأجسام المقيدة بالدوران في المستوى، فيكفي أن تعتبر عزم قصورها الذاتي حول محور عمودي على المستوى. بالنسبة للأجسام الحرة الدوران حول ثلاثة أبعاد فإن عزومه يمكن وصفها عن طريق مصفوفة متماثلة 3X3. (ar)</li> <li style="display:none;">Moment setrvačnosti je skalární fyzikální veličina, která vyjadřuje míru setrvačnosti tělesa při otáčivém pohybu. Její velikost závisí na rozložení hmoty v tělese vzhledem k ose otáčení. Body (části) tělesa s větší hmotností a umístěné dál od osy mají větší moment setrvačnosti. Kvadratický moment průřezu se někdy také nazývá moment setrvačnosti a to i přesto, že není mírou setrvačnosti tělesa. (cs)</li> <li style="display:none;">En física, el moment d'inèrcia (de símbol I) és la propietat que tenen els cossos de resistir-se al canvi de velocitat de rotació. La inèrcia pròpiament dita és l'oposició dels cossos a modificar el seu estat de moviment uniforme de rotació i en el Sistema Internacional es mesura en quilograms per metre al quadrat (kg·m²). D'altra banda, la inèrcia dels cossos a ser desplaçats s'anomena massa. A diferència de la massa, la inèrcia d'un cos no és un valor únic (escalar) i pren valors diferents en funció de l'orientació de l'eix de rotació; es diu que és un tensor d'inèrcia. Aquesta oposició al canvi de velocitat es pot experimentar fàcilment amb un objecte llarg i estret com, per exemple, un pal d'escombra. Fer rodar el pal entre les dues mans resulta fàcil, es pot fer amb certa rapidesa. Si, en canvi, es pren el pal pel mig i s'intenta fer girar com si fos un molí de dues pales, l'oposició que rebem és considerablement superior. Això permet experimentar fàcilment amb el mateix cos aquest concepte abstracte. La velocitat de rotació és un vector i hi ha dues maneres fonamentals de canviar (accelerar) un vector: canviant-ne el mòdul, és a dir canviant la rapidesa de la rotació, o canviant-ne la direcció, és a dir, canviar l'orientació de l'eix de gir, com passa a una roda de bicicleta quan pren un revolt. Aquesta propietat du a un fenomen poc intuïtiu com és l'efecte giroscòpic. Aquest efecte és el que manté dreta una baldufa mentre gira i es pot experimentar fàcilment agafant una roda de bicicleta girant a velocitat alta. (ca)</li> <li style="display:none;">Η ροπή αδράνειας (ή γωνιακή μάζα) είναι μέγεθος της μηχανικής και εκφράζει την κατανομή των υλικών σημείων ενός σώματος ως προς έναν άξονα περιστροφής. Συμβολίζεται συνήθως ως και έχει διαστάσεις μάζας επί μήκος στο τετράγωνο (σε μονάδες διεθνούς συστήματος kg·m2). Υπολογίζεται ως άθροισμα γινομένων στοιχειωδών μαζών επί το τετράγωνο της απόστασής τους από έναν άξονα. Η γενική σχέση που δίνει την ροπή αδράνειας ενός συστήματος σωματιδίων είναι η: όπου η μάζα και απόσταση από τον άξονα περιστροφής του οστού σωματιδίου. Στη περίπτωση μίας συνεχούς κατανομής μάζας, η ροπή αδράνειας ενός στερεού γνωστής πυκνότητας μάζας ορίζεται με βάση το παρακάτω ολοκλήρωμα: Η ροπή αδράνειας έχει στην περιστροφική κίνηση έναν ρόλο αντίστοιχο με αυτόν της μάζας στην γραμμική. Συγκεκριμένα, η φυσική σημασία της ροπής αδράνειας σχετίζεται με την ικανότητα που έχουν τα σώματα να αντιστέκονται σε μεταβολές της περιστροφικής τους κατάστασης. Όσο μεγαλύτερη ροπή αδράνειας έχει ένα σώμα, τόσο δυσκολότερα περιστρέφεται. Η ροπή αδράνειας ορίζεται πάντοτε ως προς κάποιον άξονα περιστροφής.Για τα σώματα που είναι περιορισμένα να περιστρέφονται σε ένα επίπεδο, σημασία έχει μόνο η ροπή αδράνειας τους γύρω από έναν άξονα κάθετο στο επίπεδο, μια βαθμωτή τιμή.Για σώματα που είναι ελεύθερα να περιστρέφονται σε τρεις διαστάσεις, οι ροπές τους μπορούν να περιγραφούν με έναν συμμετρικό πίνακα 3 × 3 (τανυστής ροπών αδράνειας), με ένα σύνολο αμοιβαία κάθετων κύριων αξόνων, για τους οποίους αυτός ο πίνακας είναι διαγώνιος και οι ροπές γύρω από τους άξονες δρουν ανεξάρτητα η μία από την άλλη. (el)</li> <li style="display:none;">Das Trägheitsmoment, auch Massenträgheitsmoment oder Inertialmoment, gibt die Trägheit eines starren Körpers gegenüber einer Änderung seiner Winkelgeschwindigkeit bei der Drehung um eine gegebene Achse an (Drehmoment geteilt durch Winkelbeschleunigung). Damit spielt es die gleiche Rolle wie die Masse im Verhältnis von Kraft und Beschleunigung; deswegen ist in der älteren Literatur auch die Bezeichnung Drehmasse gebräuchlich. Als physikalische Größe kommt es erstmals 1749 im Werk Scientia Navalis von Leonhard Euler vor. Das Trägheitsmoment hängt von der Massenverteilung in Bezug auf die Drehachse ab. Je weiter ein Massenelement von der Drehachse entfernt ist, desto mehr trägt es zum Trägheitsmoment bei; der Abstand geht quadratisch ein. Nimmt die Dichte des Körpers zur Drehachse hin zu, ist sein Trägheitsmoment kleiner, als wenn seine Masse im selben Volumen homogen verteilt wäre. Bei rasch rotierenden Planeten lässt sich deshalb aus der Abplattung auf den Dichteverlauf schließen. Ist die Drehachse nicht fest vorgegeben, so reicht zur Beschreibung des Trägheitsverhaltens eine einzelne Zahl nicht aus. Aus dem Trägheitstensor kann das Trägheitsmoment für jede beliebige Achse durch den Schwerpunkt berechnet werden. (de)</li> <li style="display:none;">En fiziko, la inercimomanto (aŭ inertmomanto) estas grando, kiu mezuras la reziston de objekto al ŝanĝo de turniĝrapido. Ĝi ne nur dependas de la maso de la turniĝanta objekto, sed ankaŭ de la pozicio de la maso rilate al la turniĝakso. La inercimomanto de objekto, konsistanta el n maseroj mi lokataj al distancoj ri de la turniĝakso z, difinatas kiel . La koncepton inercimomanto enkondukis la svisa matematikisto kaj fizikisto Leonhard Euler en sia verkaĵo Theoria motus corporum solidorum seu rigidorum ("Teoria movo de solidaj korpoj"), en 1765. Laŭ la internacia mezurunuaro, la mezurunuo de inercimomanto estas . La inercimomanto ludas, en turniĝoj, la saman rezistantan rolon, kiun la maso alprenas okaze de rektaj moviĝoj. (eo)</li> <li style="display:none;">El momento de inercia (símbolo I) es una medida de la inercia rotacional de un cuerpo. Cuando un cuerpo gira en torno a uno de los ejes principales de inercia, la inercia rotacional puede ser representada como una magnitud vectorial llamada momento de inercia. Sin embargo, en el caso más general posible la inercia rotacional debe representarse por medio de un conjunto de momentos de inercia y componentes que forman el llamado tensor de inercia. La descripción tensorial es necesaria para el análisis de sistemas complejos, por ejemplo en movimientos giroscópicos. El momento de inercia refleja la distribución de masa de un cuerpo o de un sistema de partículas en rotación, respecto a un eje de giro. El momento de inercia solo depende de la geometría del cuerpo y de la posición del eje de giro; pero no depende de las fuerzas que intervienen en el movimiento. El momento de inercia desempeña un papel análogo al de la masa inercial en el caso del movimiento rectilíneo y uniforme. Es el valor escalar del momento angular longitudinal de un sólido rígido. (es)</li> <li style="display:none;">Inertzia momentua gorputza osatzen duten partikulen masen eta hauek erreferentzia batekiko (guztientzako bera dena) daukaten posizioaren karratuen biderkadura neurtzen duen magnitudea da. da. Gorputz horren biratzeko inertzia da: (eu)</li> <li style="display:none;">Le moment d'inertie d'un système physique est une grandeur qui caractérise son inertie vis-à-vis des mouvements de rotation, comme sa masse caractérise son inertie vis-à-vis des mouvements de translation. Il dépend de la valeur et de la répartition des masses au sein du système et a pour dimension M·L 2 (produit d'une masse par le carré d'une longueur) ; il s'exprime donc en kg·m2 dans le Système international d'unités. Dans le cas simple de la rotation d'une masse autour d'un axe fixe, le moment d'inertie par rapport à cet axe est une grandeur scalaire qui apparaît dans les expressions du moment cinétique et de l'énergie cinétique de rotation de ce corps. Toutefois dans le cas général d'une rotation autour d'un axe dont la direction varie au cours du temps, il est nécessaire d'introduire un tenseur symétrique du second ordre, le tenseur d'inertie. Il est toujours possible de choisir un système d'axes, dits axes principaux d'inertie, tels que la matrice représentative de ce tenseur prenne une forme diagonale. Les trois moments correspondants sont moments principaux d'inertie. Dans le cas particulier d'un solide homogène, ils ne dépendent que de la forme géométrique de celui-ci. En mécanique des matériaux l'appellation de « moment d'inertie » est parfois utilisée pour déterminer la contrainte dans une poutre soumise à flexion. Il s'agit alors d'une notion physique différente, encore appelée moment quadratique, qui a pour grandeur physique L4 (la quatrième puissance d'une longueur, exprimée en m4 dans le S.I.). (fr)</li> <li>The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation. It is an extensive (additive) property: for a point mass the moment of inertia is simply the mass times the square of the perpendicular distance to the axis of rotation. The moment of inertia of a rigid composite system is the sum of the moments of inertia of its component subsystems (all taken about the same axis). Its simplest definition is the second moment of mass with respect to distance from an axis. For bodies constrained to rotate in a plane, only their moment of inertia about an axis perpendicular to the plane, a scalar value, matters. For bodies free to rotate in three dimensions, their moments can be described by a symmetric 3 × 3 matrix, with a set of mutually perpendicular for which this matrix is diagonal and torques around the axes act independently of each other. (en)</li> <li style="display:none;">Sa mheicnic, maidir le réad atá ag rothlú, braitheann an chasmhóimint fórsaí is gá chun rothlú an réada a luasghéarú ar dháileadh mhais an réada timpeall ar a ais rothlaithe. Is í an chainníocht a chuimsíonn an dáileadh maise seo móimint na táimhe. Úsáidtear an tsiombail I chuici, agus tomhaistear í in aonaid kg m2. Más diosca aonfhoirmeach, de mhais m is de gha r, ag rothlú thart ar a lárphointe an réad atá i gceist, I = (mr2)/2. I gcás idéalach, dá mbeadh mais iomlán an diosca comhchruinnithe ar an imeall, I = mr2. (ga)</li> <li style="display:none;">Momen inersia (Satuan SI: kg m2) adalah ukuran kelembaman suatu benda untuk berotasi terhadap porosnya. Secara matematis momen inersia adalah hasil kali massa partikel dengan kuadrat jarak terhadap sumbu putarnya. Besaran ini adalah analog rotasi daripada massa. Momen inersia berperan dalam dinamika rotasi seperti massa dalam dinamika dasar, dan menentukan hubungan antara momentum sudut dan kecepatan sudut, momen gaya dan percepatan sudut, dan beberapa besaran lain. Meskipun pembahasan terhadap momen inersia, pembahasan menggunakan pendekatan tensor memungkinkan analisis sistem yang lebih rumit seperti gerakan giroskopik. Lambang dan kadang-kadang juga biasanya digunakan untuk merujuk kepada momen inersia. Konsep ini diperkenalkan oleh Euler dalam bukunya a Theoria motus corporum solidorum seu rigidorum pada tahun 1730. Dalam buku tersebut, dia mengupas momen inersia dan banyak konsep terkait. (in)</li> <li style="display:none;">In meccanica classica, il momento di inerzia (detto anche momento polare o momento di secondo ordine o meno propriamente secondo momento d'inerzia) è una proprietà geometrica di un corpo, che misura l'inerzia del corpo al variare della sua velocità angolare, una grandezza fisica usata nella descrizione del moto dei corpi in rotazione attorno a un asse. Nei moti rotatori, il momento d'inerzia gioca il ruolo che ha la massa nei moti lineari. Possiede due forme: una forma scalare (spesso chiamata semplicemente momento di inerzia), usata quando si conosce esattamente l'asse di rotazione, e una forma tensoriale (detta tensore di inerzia), più generale, che non necessita della conoscenza dell'asse di rotazione. (it)</li> <li style="display:none;">( 이 문서는 회전운동과 관련된 관성 모멘트에 관한 것입니다. 휨과 관련된 단면의 관성 모멘트에 대해서는 단면 이차 모멘트 문서를 참고하십시오.) 관성 모멘트 (慣性-)는 물체가 자신의 회전운동을 유지하려는 정도를 나타내는 물리량으로써, 직선 운동에서의 질량에 대응되는 양이다. 기호는 통상적으로 라틴 대문자 이며, 간혹 로 나타내기도 한다. 관성 모멘트는 회전운동에서 매우 중요한 역할을 차지하는데, 관성 모멘트를 통해서 회전운동을 기술하는 데 꼭 필요한 각운동량, 각속도. 각가속도, 돌림힘들 사이의 관계를 이어주는 물리량이기 때문이다. 관성 모멘트를 표현하는 방법에는 두가지, 스칼라로 나타내는 스칼라 관성 모멘트와 더 고등의 텐서로 나타내는 관성 모멘트 텐서, 간단히 관성 텐서(inertia tensor)를 사용한 표현이 있다. 보통 스칼라 관성 모멘트를 간단히 관성 모멘트라 하기도 한다. 간단한 회전의 경우에는 복잡한 관성 텐서보다 스칼라 관성 모멘트만으로도 각 물리량 사이의 관계를 충분히 기술할 수 있다. 하지만 스칼라 관성 모멘트는 회전하는 팽이나 자이로스코프와 같이 복잡한 회전에 대한 물리량 사이의 관계를 기술하지 못하기 때문에, 이러한 경우에는 관성 텐서를 사용해 각 물리량 사이의 관계를 기술한다. 최초로 관성 모멘트란 개념을 사용한 사람은 레온하르트 오일러이다. 그가 1730년에 발표한 책 《고체 또는 강체의 운동론》에서 관성 모멘트란 개념이 처음으로 등장하고 모멘트의 주축과 같은 이와 관련된 여러 개념들이 이 책을 통해 발표되었다. (ko)</li> <li style="display:none;">Het (massa)traagheidsmoment geeft de mate van verzet tegen verandering van hoeksnelheid van een lichaam met een zekere massa. Een object met een zekere uitgebreidheid ten opzichte van een gekozen rotatie-as, verzet zich tegen verandering van de hoeksnelheid om die as. De mate waarin dit gebeurt wordt uitgedrukt in het (massa)traagheidsmoment ten opzichte van die rotatie-as. Om de snelheid van draaien te veranderen moet een krachtmoment worden uitgeoefend (soms draaimoment genoemd). De verhouding tussen dit krachtmoment en de resulterende hoekversnelling is het massatraagheidsmoment ten opzichte van de rotatie-as. Daarin is: * het krachtmoment, een vector (in Nm) * het massatraagheidsmoment, een getal (in kg·m²) * de hoekversnelling, een vector (in rad/s²) Het traagheidsmoment is het analogon (overeenkomstig begrip) van het begrip 'trage massa', dat de mate van verzet tegen lineaire versnelling uitdrukt, zoals weergegeven in de tweede wet van Newton: . Het traagheidsmoment is zowel afhankelijk van de totale massa als van de verdeling van deze massa; hoe verder een deel van de massa verwijderd is van de rotatie-as, hoe groter de bijdrage van dat deel aan het traagheidsmoment. Voor puntmassa's op respectievelijk afstanden van de rotatie-as is het traagheidsmoment de som van de aparte traagheidsmomenten: Nu zijn puntmassa's meestal slechts idealiseringen en wordt een object beschreven door zijn massaverdeling (de massa als functie van de plaats ) of door de dichtheid . Het traagheidsmoment is dan gegeven door: waarbij de loodrechte afstand tot de draaias voorstelt en de massadichtheid is. Algemeen geldt: waarbij de afstand is van punt tot de draaias. (nl)</li> <li style="display:none;">慣性モーメント（かんせいモーメント、英: moment of inertia）あるいは慣性能率（かんせいのうりつ）、イナーシャ I とは、物体の角運動量 L と角速度 ω との間の関係を示す量である。 (ja)</li> <li style="display:none;">Em mecânica, o momento de inércia, ou momento de inércia de massa, expressa o grau de dificuldade em se alterar o estado de movimento de um corpo em rotação. Diferentemente da massa inercial (que é um escalar), o momento de inércia ou Tensor de Inércia também depende da distribuição da massa em torno de um eixo de rotação escolhido arbitrariamente. Quanto maior for o momento de inércia de um corpo, mais difícil será girá-lo ou alterar sua rotação. Contribui mais para o aumento do valor do momento de inércia a porção de massa que está afastada do eixo de giro. Um eixo girante fino e comprido, com a mesma massa de um disco que gira em relação ao seu centro, terá um momento de inércia menor que este. Sua unidade de medida, no SI, é quilograma vezes metro ao quadrado (kg·m²). Em mecânica clássica, momento de inércia também pode ser chamado inércia rotacional, momento polar de inércia. Para movimentos planos de um corpo, a trajetória de todos os pontos acontece em planos paralelos e a rotação ocorre apenas em torno do eixo perpendicular a esse plano. Neste caso, o corpo tem um único momento de inércia, medido em torno desse eixo. (pt)</li> <li style="display:none;">Moment bezwładności (masy) – miara bezwładności ciała w ruchu obrotowym względem określonej, ustalonej osi obrotu. Wymiarem fizycznym momentu bezwładności jest masa razy długość². Jednostką miary momentu bezwładności w układzie SI jest kg·m². Moment bezwładności odgrywa analogiczną rolę w dynamice ruchu obrotowego jak masa w dynamice ruchu postępowego. W ruchu postępowym masa, oznaczana wyraża bezwładność, czyli „opór” stawiany przez ciało podczas przyspieszania lub hamowania, zatem pojawia się w równaniach dynamiki jako współczynnik proporcjonalności pomiędzy działającą siłą i uzyskanym przyspieszeniem pędem i prędkością oraz (w połówce) pomiędzy energią kinetyczną i kwadratem prędkości: Podobnie w ruchu obrotowym (przy ustalonej osi obrotu) moment bezwładności wyraża opór stawiany przez ciało przy zmianie prędkości obrotowej, i występuje jako współczynnik proporcjonalności pomiędzy napędzającym momentem siły i uzyskanym w jego wyniku przyspieszeniem kątowym momentem pędu i prędkością kątową oraz (w połówce) pomiędzy energią kinetyczną i kwadratem prędkości kątowej: Moment bezwładności zależy od rozkładu masy względem osi obrotu ciała, zatem dla tego samego ciała wartość momentu bezwładności zależy od wyboru osi obrotu. Dla konkretnej osi moment bezwładności jest skalarem, zaś w uogólniony sposób moment bezwładności ciała dla dowolnego kierunku osi obrotu, przechodzącej przez środek masy, wyraża się jako tensor. (pl)</li> <li style="display:none;">En kropps tröghetsmoment är ett mått på det vridmoment som krävs för en given ändring per tidsenhet av kroppens rotationshastighet kring en given axel. Tröghetsmoment betecknas med I eller J och används för att beskriva stela kroppars dynamik. Tröghetsmomentet har samma roll för rotationsrörelser som massa har för translationsrörelser. Tröghetsmoment introducerades av Euler. För en given rotationsaxel beror tröghetsmomentet av hur kroppens massa är fördelad med avseende på axeln: där mi är ett masselement och ri är avståndet från dess masscentrum till den givna rotationsaxeln. Liksom för moment varierar ett tröghetsmoment beroende på referensaxeln, men genom att bestämma en kropps tröghetsmoment med avseende på en axel genom masscentrum kan parallellaxelsatsen (Steiners sats), användas för att omvandla tröghetsmomentet med avseende på en godtycklig axel (parallell med den första) på avståndet d från masscentrum. För kontinuerliga massfördelningar används integralen där är det kontinuerliga masselementet för ett volymelement, och där ρ är densiteten. (sv)</li> <li style="display:none;">Моме́нт іне́рції (одиниця вимірювання в системі SI [кг м²]) — скалярна величина, що є мірою інертності для обертального руху аналогічно до маси для поступального руху. Позначається латинською літерою I. В загальному випадку значення моменту інерції об'єкта залежить від його форми та розподілу маси в об'ємі: чим більше маси сконцентровано далі від центра мас тіла, тим більшим є його момент інерції. Також його значення залежить від обраної осі обертання. Момент інерції існує незалежно від того, обертається тіло чи ні, так само як і маса існує незалежно від того, рухається тіло чи ні. (uk)</li> <li style="display:none;">Моме́нт ине́рции — скалярная физическая величина, мера инертности во вращательном движении вокруг оси, подобно тому, как масса тела является мерой его инертности в поступательном движении. Характеризуется распределением масс в теле. Момент инерции равен сумме произведений элементарных масс на квадрат их расстояний до базового множества, которое, формально, может представлять собой не обязательно ось вращения (т.е. прямую), но и точку или плоскость. В последних случаях говорят о моменте инерции относительно точки или плоскости, а возникать такие величины могут в формальных вычислениях, например, при расчете тензора инерции. Единица измерения в Международной системе единиц (СИ): кг·м². Обозначение: I или J. Различают несколько моментов инерции — в зависимости от типа базового множества до которого отсчитываются расстояния от элементарных масс. (ru)</li> <li style="display:none;">在经典力學中，轉動慣量又稱慣性矩（英語：Moment of inertia），通常以表示，國際單位制為·。轉動慣量是一個物體對於其旋轉運動的慣性大小的量度。一個剛體對於某轉軸的轉動慣量決定對於這物體繞著這轉軸進行某種角加速度運動所需要施加的力矩。轉動慣量在中的角色相當於線性動力學中的質量，描述角動量、角速度、力矩和角加速度等數個量之間的關係。 (zh)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail">dbo:thumbnail</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Маховик.jpg?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/Маховик.jpg?width=300">wiki-commons:Special:FilePath/Маховик.jpg?width=300</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageExternalLink">dbo:wikiPageExternalLink</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbo:wikiPageExternalLink nofollow" resource="http://kwon3d.com/theory/moi/iten.html" 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resource="http://dbpedia.org/resource/File:Moment_of_inertia_solid_sphere.svg" href="http://dbpedia.org/resource/File:Moment_of_inertia_solid_sphere.svg">dbr:File:Moment_of_inertia_solid_sphere.svg</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/caption">dbp:caption</a> </td><td class="col-10 text-break"><ul> <li>Flywheels have large moments of inertia to smooth out rotational motion. (en)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/date">dbp:date</a> </td><td class="col-10 text-break"><ul> <li>June 2019 (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/dimension">dbp:dimension</a> </td><td class="col-10 text-break"><ul> <li>M L2 (en)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/footer">dbp:footer</a> </td><td class="col-10 text-break"><ul> <li>To improve their maneuverability, war planes are designed to have smaller moments of inertia compared to commercial planes. (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/image">dbp:image</a> </td><td class="col-10 text-break"><ul> <li>Dg800.jpg (en)</li> <li>Chinese Shenyang J-11 from below in August 2014.JPG (en)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/name">dbp:name</a> </td><td class="col-10 text-break"><ul> <li>Moment of inertia (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/otherunits">dbp:otherunits</a> </td><td class="col-10 text-break"><ul> <li>lbf·ft·s2 (en)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/reason">dbp:reason</a> </td><td class="col-10 text-break"><ul> <li>page 1301 is the index of the book. I assume someone made a mistake with the page number (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/symbols">dbp:symbols</a> </td><td class="col-10 text-break"><ul> <li>I (en)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/unit">dbp:unit</a> </td><td class="col-10 text-break"><ul> <li>kg⋅m2 (en)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/wikiPageUsesTemplate">dbp:wikiPageUsesTemplate</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Authority_control" href="http://dbpedia.org/resource/Template:Authority_control">dbt:Authority_control</a></li> <li><a class="uri" rel="dbp:wikiPageUsesTemplate" resource="http://dbpedia.org/resource/Template:Commons_category" 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href="http://www.w3.org/1999/02/22-rdf-syntax-ns#type">rdf:type</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="rdf:type" resource="http://www.w3.org/2002/07/owl#Thing" href="http://www.w3.org/2002/07/owl#Thing">owl:Thing</a></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#comment">rdfs:comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">Moment setrvačnosti je skalární fyzikální veličina, která vyjadřuje míru setrvačnosti tělesa při otáčivém pohybu. Její velikost závisí na rozložení hmoty v tělese vzhledem k ose otáčení. Body (části) tělesa s větší hmotností a umístěné dál od osy mají větší moment setrvačnosti. Kvadratický moment průřezu se někdy také nazývá moment setrvačnosti a to i přesto, že není mírou setrvačnosti tělesa. (cs)</li> <li style="display:none;">Inertzia momentua gorputza osatzen duten partikulen masen eta hauek erreferentzia batekiko (guztientzako bera dena) daukaten posizioaren karratuen biderkadura neurtzen duen magnitudea da. da. Gorputz horren biratzeko inertzia da: (eu)</li> <li style="display:none;">Sa mheicnic, maidir le réad atá ag rothlú, braitheann an chasmhóimint fórsaí is gá chun rothlú an réada a luasghéarú ar dháileadh mhais an réada timpeall ar a ais rothlaithe. Is í an chainníocht a chuimsíonn an dáileadh maise seo móimint na táimhe. Úsáidtear an tsiombail I chuici, agus tomhaistear í in aonaid kg m2. Más diosca aonfhoirmeach, de mhais m is de gha r, ag rothlú thart ar a lárphointe an réad atá i gceist, I = (mr2)/2. I gcás idéalach, dá mbeadh mais iomlán an diosca comhchruinnithe ar an imeall, I = mr2. (ga)</li> <li style="display:none;">In meccanica classica, il momento di inerzia (detto anche momento polare o momento di secondo ordine o meno propriamente secondo momento d'inerzia) è una proprietà geometrica di un corpo, che misura l'inerzia del corpo al variare della sua velocità angolare, una grandezza fisica usata nella descrizione del moto dei corpi in rotazione attorno a un asse. Nei moti rotatori, il momento d'inerzia gioca il ruolo che ha la massa nei moti lineari. Possiede due forme: una forma scalare (spesso chiamata semplicemente momento di inerzia), usata quando si conosce esattamente l'asse di rotazione, e una forma tensoriale (detta tensore di inerzia), più generale, che non necessita della conoscenza dell'asse di rotazione. (it)</li> <li style="display:none;">慣性モーメント（かんせいモーメント、英: moment of inertia）あるいは慣性能率（かんせいのうりつ）、イナーシャ I とは、物体の角運動量 L と角速度 ω との間の関係を示す量である。 (ja)</li> <li style="display:none;">Моме́нт іне́рції (одиниця вимірювання в системі SI [кг м²]) — скалярна величина, що є мірою інертності для обертального руху аналогічно до маси для поступального руху. Позначається латинською літерою I. В загальному випадку значення моменту інерції об'єкта залежить від його форми та розподілу маси в об'ємі: чим більше маси сконцентровано далі від центра мас тіла, тим більшим є його момент інерції. Також його значення залежить від обраної осі обертання. Момент інерції існує незалежно від того, обертається тіло чи ні, так само як і маса існує незалежно від того, рухається тіло чи ні. (uk)</li> <li style="display:none;">在经典力學中，轉動慣量又稱慣性矩（英語：Moment of inertia），通常以表示，國際單位制為·。轉動慣量是一個物體對於其旋轉運動的慣性大小的量度。一個剛體對於某轉軸的轉動慣量決定對於這物體繞著這轉軸進行某種角加速度運動所需要施加的力矩。轉動慣量在中的角色相當於線性動力學中的質量，描述角動量、角速度、力矩和角加速度等數個量之間的關係。 (zh)</li> <li style="display:none;">عزم القصور الذاتي (بالإنجليزية: Moment of inertia)‏ أو عزم العطالة، يحسب العزم اللازم للتسارع الزاوي حول محور الدوران للجسم الصلب. يعتمد هذا على توزيع الكتلة للجسم وعلى المحور المختار، مع وجود عزوم أكبر يتطلب المزيد من العزم لتغيير دوران الجسم. هو عبارة عن قيمة مضافة، عزم القصور الذاتي لنظام مركب هو مجموع عزوم القصور الذاتي لأنظمته الفرعية المكونة له (جميعها حول نفس المحور). إحدى تعريفاته هي العزم الثاني للكتلة بالنسبة للمسافة من المحور (ص) (ar)</li> <li style="display:none;">En física, el moment d'inèrcia (de símbol I) és la propietat que tenen els cossos de resistir-se al canvi de velocitat de rotació. La inèrcia pròpiament dita és l'oposició dels cossos a modificar el seu estat de moviment uniforme de rotació i en el Sistema Internacional es mesura en quilograms per metre al quadrat (kg·m²). D'altra banda, la inèrcia dels cossos a ser desplaçats s'anomena massa. (ca)</li> <li style="display:none;">Η ροπή αδράνειας (ή γωνιακή μάζα) είναι μέγεθος της μηχανικής και εκφράζει την κατανομή των υλικών σημείων ενός σώματος ως προς έναν άξονα περιστροφής. Συμβολίζεται συνήθως ως και έχει διαστάσεις μάζας επί μήκος στο τετράγωνο (σε μονάδες διεθνούς συστήματος kg·m2). Υπολογίζεται ως άθροισμα γινομένων στοιχειωδών μαζών επί το τετράγωνο της απόστασής τους από έναν άξονα. Η γενική σχέση που δίνει την ροπή αδράνειας ενός συστήματος σωματιδίων είναι η: όπου η μάζα και απόσταση από τον άξονα περιστροφής του οστού σωματιδίου. (el)</li> <li style="display:none;">En fiziko, la inercimomanto (aŭ inertmomanto) estas grando, kiu mezuras la reziston de objekto al ŝanĝo de turniĝrapido. Ĝi ne nur dependas de la maso de la turniĝanta objekto, sed ankaŭ de la pozicio de la maso rilate al la turniĝakso. La inercimomanto de objekto, konsistanta el n maseroj mi lokataj al distancoj ri de la turniĝakso z, difinatas kiel . La koncepton inercimomanto enkondukis la svisa matematikisto kaj fizikisto Leonhard Euler en sia verkaĵo Theoria motus corporum solidorum seu rigidorum ("Teoria movo de solidaj korpoj"), en 1765. (eo)</li> <li style="display:none;">Das Trägheitsmoment, auch Massenträgheitsmoment oder Inertialmoment, gibt die Trägheit eines starren Körpers gegenüber einer Änderung seiner Winkelgeschwindigkeit bei der Drehung um eine gegebene Achse an (Drehmoment geteilt durch Winkelbeschleunigung). Damit spielt es die gleiche Rolle wie die Masse im Verhältnis von Kraft und Beschleunigung; deswegen ist in der älteren Literatur auch die Bezeichnung Drehmasse gebräuchlich. Als physikalische Größe kommt es erstmals 1749 im Werk Scientia Navalis von Leonhard Euler vor. (de)</li> <li>The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation. (en)</li> <li style="display:none;">El momento de inercia (símbolo I) es una medida de la inercia rotacional de un cuerpo. Cuando un cuerpo gira en torno a uno de los ejes principales de inercia, la inercia rotacional puede ser representada como una magnitud vectorial llamada momento de inercia. Sin embargo, en el caso más general posible la inercia rotacional debe representarse por medio de un conjunto de momentos de inercia y componentes que forman el llamado tensor de inercia. La descripción tensorial es necesaria para el análisis de sistemas complejos, por ejemplo en movimientos giroscópicos. (es)</li> <li style="display:none;">Momen inersia (Satuan SI: kg m2) adalah ukuran kelembaman suatu benda untuk berotasi terhadap porosnya. Secara matematis momen inersia adalah hasil kali massa partikel dengan kuadrat jarak terhadap sumbu putarnya. Besaran ini adalah analog rotasi daripada massa. Momen inersia berperan dalam dinamika rotasi seperti massa dalam dinamika dasar, dan menentukan hubungan antara momentum sudut dan kecepatan sudut, momen gaya dan percepatan sudut, dan beberapa besaran lain. Meskipun pembahasan terhadap momen inersia, pembahasan menggunakan pendekatan tensor memungkinkan analisis sistem yang lebih rumit seperti gerakan giroskopik. (in)</li> <li style="display:none;">Le moment d'inertie d'un système physique est une grandeur qui caractérise son inertie vis-à-vis des mouvements de rotation, comme sa masse caractérise son inertie vis-à-vis des mouvements de translation. Il dépend de la valeur et de la répartition des masses au sein du système et a pour dimension M·L 2 (produit d'une masse par le carré d'une longueur) ; il s'exprime donc en kg·m2 dans le Système international d'unités. (fr)</li> <li style="display:none;">( 이 문서는 회전운동과 관련된 관성 모멘트에 관한 것입니다. 휨과 관련된 단면의 관성 모멘트에 대해서는 단면 이차 모멘트 문서를 참고하십시오.) 관성 모멘트 (慣性-)는 물체가 자신의 회전운동을 유지하려는 정도를 나타내는 물리량으로써, 직선 운동에서의 질량에 대응되는 양이다. 기호는 통상적으로 라틴 대문자 이며, 간혹 로 나타내기도 한다. 관성 모멘트는 회전운동에서 매우 중요한 역할을 차지하는데, 관성 모멘트를 통해서 회전운동을 기술하는 데 꼭 필요한 각운동량, 각속도. 각가속도, 돌림힘들 사이의 관계를 이어주는 물리량이기 때문이다. 최초로 관성 모멘트란 개념을 사용한 사람은 레온하르트 오일러이다. 그가 1730년에 발표한 책 《고체 또는 강체의 운동론》에서 관성 모멘트란 개념이 처음으로 등장하고 모멘트의 주축과 같은 이와 관련된 여러 개념들이 이 책을 통해 발표되었다. (ko)</li> <li style="display:none;">Het (massa)traagheidsmoment geeft de mate van verzet tegen verandering van hoeksnelheid van een lichaam met een zekere massa. Een object met een zekere uitgebreidheid ten opzichte van een gekozen rotatie-as, verzet zich tegen verandering van de hoeksnelheid om die as. De mate waarin dit gebeurt wordt uitgedrukt in het (massa)traagheidsmoment ten opzichte van die rotatie-as. Daarin is: * het krachtmoment, een vector (in Nm) * het massatraagheidsmoment, een getal (in kg·m²) * de hoekversnelling, een vector (in rad/s²) Algemeen geldt: waarbij de afstand is van punt tot de draaias. (nl)</li> <li style="display:none;">Moment bezwładności (masy) – miara bezwładności ciała w ruchu obrotowym względem określonej, ustalonej osi obrotu. Wymiarem fizycznym momentu bezwładności jest masa razy długość². Jednostką miary momentu bezwładności w układzie SI jest kg·m². Moment bezwładności zależy od rozkładu masy względem osi obrotu ciała, zatem dla tego samego ciała wartość momentu bezwładności zależy od wyboru osi obrotu. Dla konkretnej osi moment bezwładności jest skalarem, zaś w uogólniony sposób moment bezwładności ciała dla dowolnego kierunku osi obrotu, przechodzącej przez środek masy, wyraża się jako tensor. (pl)</li> <li style="display:none;">Em mecânica, o momento de inércia, ou momento de inércia de massa, expressa o grau de dificuldade em se alterar o estado de movimento de um corpo em rotação. Diferentemente da massa inercial (que é um escalar), o momento de inércia ou Tensor de Inércia também depende da distribuição da massa em torno de um eixo de rotação escolhido arbitrariamente. Quanto maior for o momento de inércia de um corpo, mais difícil será girá-lo ou alterar sua rotação. Contribui mais para o aumento do valor do momento de inércia a porção de massa que está afastada do eixo de giro. Um eixo girante fino e comprido, com a mesma massa de um disco que gira em relação ao seu centro, terá um momento de inércia menor que este. Sua unidade de medida, no SI, é quilograma vezes metro ao quadrado (kg·m²). Em mecânica cláss (pt)</li> <li style="display:none;">En kropps tröghetsmoment är ett mått på det vridmoment som krävs för en given ändring per tidsenhet av kroppens rotationshastighet kring en given axel. Tröghetsmoment betecknas med I eller J och används för att beskriva stela kroppars dynamik. Tröghetsmomentet har samma roll för rotationsrörelser som massa har för translationsrörelser. Tröghetsmoment introducerades av Euler. För en given rotationsaxel beror tröghetsmomentet av hur kroppens massa är fördelad med avseende på axeln: där mi är ett masselement och ri är avståndet från dess masscentrum till den givna rotationsaxeln. där (sv)</li> <li style="display:none;">Моме́нт ине́рции — скалярная физическая величина, мера инертности во вращательном движении вокруг оси, подобно тому, как масса тела является мерой его инертности в поступательном движении. Характеризуется распределением масс в теле. Момент инерции равен сумме произведений элементарных масс на квадрат их расстояний до базового множества, которое, формально, может представлять собой не обязательно ось вращения (т.е. прямую), но и точку или плоскость. В последних случаях говорят о моменте инерции относительно точки или плоскости, а возникать такие величины могут в формальных вычислениях, например, при расчете тензора инерции. (ru)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label">rdfs:label</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">عزم القصور الذاتي (ar)</li> <li style="display:none;">Moment d'inèrcia (ca)</li> <li style="display:none;">Moment setrvačnosti (cs)</li> <li style="display:none;">Trägheitsmoment (de)</li> <li style="display:none;">Ροπή αδράνειας (el)</li> <li style="display:none;">Inercimomanto (eo)</li> <li style="display:none;">Momento de inercia (es)</li> <li style="display:none;">Inertzia-momentu (eu)</li> <li style="display:none;">Móimint na táimhe (ga)</li> <li style="display:none;">Moment d'inertie (fr)</li> <li style="display:none;">Momen inersia (in)</li> <li style="display:none;">Momento di inerzia (it)</li> <li style="display:none;">慣性モーメント (ja)</li> <li style="display:none;">관성 모멘트 (ko)</li> <li>Moment of inertia (en)</li> <li style="display:none;">Traagheidsmoment (nl)</li> <li style="display:none;">Moment bezwładności (pl)</li> <li style="display:none;">Момент инерции (ru)</li> <li style="display:none;">Momento de inércia (pt)</li> <li style="display:none;">Tröghetsmoment (sv)</li> <li style="display:none;">Момент інерції (uk)</li> <li style="display:none;">轉動慣量 (zh)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#seeAlso">rdfs:seeAlso</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="rdfs:seeAlso" resource="http://dbpedia.org/resource/List_of_moments_of_inertia" href="http://dbpedia.org/resource/List_of_moments_of_inertia">dbr:List_of_moments_of_inertia</a></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#sameAs">owl:sameAs</a> </td><td class="col-10 text-break"><ul> <li><a class="uri" rel="owl:sameAs" resource="http://rdf.freebase.com/ns/m.014rjw" href="http://rdf.freebase.com/ns/m.014rjw">freebase:Moment of 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