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A rotating body has an angular momentum L. If the moment of inertia of the body

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Question: A rotating body has an angular momentum L. If the moment of inertia of the body is I, what is the angular velocity ω of the body? (2021)

Options:

  1. L/I
  2. I/L
  3. L^2/I
  4. IL

Correct Answer: L/I

Exam Year: 2021

Solution: 

Angular momentum L is given by L = Iω, thus ω = L/I.

A rotating body has an angular momentum L. If the moment of inertia of the body

Practice Questions

Q1
A rotating body has an angular momentum L. If the moment of inertia of the body is I, what is the angular velocity ω of the body? (2021)
  1. L/I
  2. I/L
  3. L^2/I
  4. IL

Questions & Step-by-Step Solutions

A rotating body has an angular momentum L. If the moment of inertia of the body is I, what is the angular velocity ω of the body? (2021)
  • Step 1: Understand that angular momentum (L) is a measure of how much motion a rotating body has.
  • Step 2: Know that the formula for angular momentum is L = Iω, where I is the moment of inertia and ω is the angular velocity.
  • Step 3: Rearrange the formula to solve for angular velocity (ω). This means you need to isolate ω on one side of the equation.
  • Step 4: To isolate ω, divide both sides of the equation by I. This gives you ω = L/I.
  • Step 5: Now you have the formula to find the angular velocity if you know the angular momentum and the moment of inertia.
  • Angular Momentum – Angular momentum (L) is a measure of the rotational motion of a body, defined as the product of its moment of inertia (I) and its angular velocity (ω).
  • Moment of Inertia – Moment of inertia (I) is a scalar value that represents how mass is distributed relative to the axis of rotation, affecting how much torque is needed for a desired angular acceleration.
  • Angular Velocity – Angular velocity (ω) is the rate of change of angular displacement and indicates how fast an object is rotating.
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