My Learning Cart
?
Categories
Account

A rotating object has an angular momentum L. If its moment of inertia is halved

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A rotating object has an angular momentum L. If its moment of inertia is halved and angular velocity is doubled, what is the new angular momentum? (2022)

Options:

  1. L
  2. 2L
  3. 3L
  4. 4L

Correct Answer: 2L

Solution: 

L = Iω, if I is halved and ω is doubled, L\' = (1/2)(2ω) = L.

A rotating object has an angular momentum L. If its moment of inertia is halved

Practice Questions

Q1
A rotating object has an angular momentum L. If its moment of inertia is halved and angular velocity is doubled, what is the new angular momentum? (2022)
  1. L
  2. 2L
  3. 3L
  4. 4L

Questions & Step-by-Step Solutions

A rotating object has an angular momentum L. If its moment of inertia is halved and angular velocity is doubled, what is the new angular momentum? (2022)
  • Step 1: Understand the formula for angular momentum, which is L = Iω, where L is angular momentum, I is moment of inertia, and ω is angular velocity.
  • Step 2: Identify the changes in the moment of inertia and angular velocity. The moment of inertia (I) is halved, so it becomes I/2. The angular velocity (ω) is doubled, so it becomes 2ω.
  • Step 3: Substitute the new values into the angular momentum formula. The new angular momentum (L') can be calculated as L' = (I/2)(2ω).
  • Step 4: Simplify the equation. L' = (1/2)(2ω) = L, which means the new angular momentum is the same as the original angular momentum.
  • Angular Momentum – Angular momentum (L) is the product of an object's moment of inertia (I) and its angular velocity (ω), expressed as L = Iω.
  • Moment of Inertia – Moment of inertia (I) is a measure of an object's resistance to changes in its rotation, depending on the mass distribution relative to the axis of rotation.
  • Angular Velocity – Angular velocity (ω) is the rate of rotation of an object, typically measured in radians per second.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks