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Which of the following best describes the relationship between torque (τ) and the moment of inertia (I) for a rotating object that is accelerating with angular acceleration (α)?

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Rotational dynamics

Exam-style question

Try this first

Which of the following best describes the relationship between torque (τ) and the moment of inertia (I) for a rotating object that is accelerating with angular acceleration (α)?.

  1. A.τ = I × α
  2. B.τ = I ÷ α
  3. C.τ = α ÷ I
  4. D.τ = I + α

Model answer

What a good answer should say

  • τ = I × α

Explanation

Why this works

The rotational analogue of Newton’s second law states that the net torque acting on a body equals its moment of inertia multiplied by its angular acceleration. This is the fundamental relationship used to link torque and moment of inertia in rotational dynamics.

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