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What happens to the angular speed of a rotating object if its moment of inertia increases while the torque remains constant?

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At a glance

MCQ

Type

practice

Style

Topic

Rotational dynamics

Exam-style question

Try this first

What happens to the angular speed of a rotating object if its moment of inertia increases while the torque remains constant?.

  1. A.Angular speed increases
  2. B.Angular speed decreases
  3. C.Angular speed remains constant
  4. D.Angular speed cannot be determined

Model answer

What a good answer should say

  • Angular speed decreases

Explanation

Why this works

According to the relationship τ = Iα (torque = moment of inertia x angular acceleration), if the moment of inertia increases and the torque remains constant, the angular acceleration must decrease, leading to a decrease in angular speed over time.

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