My Learning Cart
?
Categories
Account

A child is sitting on a merry-go-round that is spinning. If the child moves towa

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

What’s inside this PDF?

Question: A child is sitting on a merry-go-round that is spinning. If the child moves towards the center of the merry-go-round, what happens to the angular velocity of the system?

Options:

  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Correct Answer: Increases

Solution: 

As the child moves towards the center, the moment of inertia decreases, thus the angular velocity increases to conserve angular momentum.

A child is sitting on a merry-go-round that is spinning. If the child moves towa

Practice Questions

Q1
A child is sitting on a merry-go-round that is spinning. If the child moves towards the center of the merry-go-round, what happens to the angular velocity of the system?
  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Questions & Step-by-Step Solutions

A child is sitting on a merry-go-round that is spinning. If the child moves towards the center of the merry-go-round, what happens to the angular velocity of the system?
  • Step 1: Understand that the merry-go-round is spinning and has a certain speed, called angular velocity.
  • Step 2: Know that the child sitting on the merry-go-round has a certain distance from the center, which affects the system's moment of inertia.
  • Step 3: Moment of inertia is a measure of how much mass is distributed away from the center. The farther the child is from the center, the higher the moment of inertia.
  • Step 4: When the child moves towards the center, they are reducing the distance from the center, which decreases the moment of inertia.
  • Step 5: Angular momentum is a property that must be conserved in a closed system. This means that if the moment of inertia decreases, the angular velocity must increase to keep the angular momentum constant.
  • Step 6: Therefore, as the child moves towards the center of the merry-go-round, the angular velocity of the system increases.
  • Angular Momentum Conservation – The principle that the total angular momentum of a closed system remains constant if no external torques act on it.
  • Moment of Inertia – A measure of an object's resistance to changes in its rotation, which depends on the mass distribution relative to the axis of rotation.
  • Angular Velocity – The rate of rotation of an object around an axis, 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