Question
Download Solution PDFThe product of the moment of inertia and the angular acceleration is:
Answer (Detailed Solution Below)
Option 2 : torque
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Detailed Solution
Download Solution PDFCONCEPT:
Torque (τ):
- It is the twisting force that tends to cause rotation.
- The point where the object rotates is known as the axis of rotation.
- Mathematically it is written as,
τ = rFsin θ
- Angular acceleration (α): It is defined as the time rate of change of angular velocity of a particle is called its angular acceleration.
- If Δω is the change in angular velocity time Δt, then average acceleration is
EXPLANATION:
- Torque is the measure of the amount of force acting on an object that can cause it to rotate.
- The torque that is needed to produce angular acceleration depends on the mass distribution of the object which is described by the moment of inertia.
- Therefore, torque (
) is the product of the angular acceleration (a) and the moment of inertia (I) of an object. Therefore option 2 is correct.
Last updated on Jun 11, 2025
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