My Learning Cart
?
Categories
Account

A wheel of radius R rolls without slipping on a horizontal surface. If the wheel

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

What’s inside this PDF?

Question: A wheel of radius R rolls without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel?

Options:

  1. Rω
  2. ω/R
  3. ω
  4. R/ω

Correct Answer: Rω

Solution: 

The linear velocity v of the center of the wheel is related to the angular velocity by v = Rω.

A wheel of radius R rolls without slipping on a horizontal surface. If the wheel

Practice Questions

Q1
A wheel of radius R rolls without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel?
  1. Rω
  2. ω/R
  3. ω
  4. R/ω

Questions & Step-by-Step Solutions

A wheel of radius R rolls without slipping on a horizontal surface. If the wheel has an angular velocity ω, what is the linear velocity of the center of the wheel?
  • Step 1: Understand that the wheel is rolling without slipping, which means the point of contact with the ground is not sliding.
  • Step 2: Recognize that the angular velocity (ω) tells us how fast the wheel is spinning around its center.
  • Step 3: Know that the radius (R) is the distance from the center of the wheel to the edge.
  • Step 4: Realize that the linear velocity (v) of the center of the wheel is how fast the center is moving in a straight line.
  • Step 5: Use the relationship between linear velocity and angular velocity, which is given by the formula v = Rω.
  • Step 6: Conclude that to find the linear velocity of the center of the wheel, you multiply the radius (R) by the angular velocity (ω).
  • Relationship between Angular and Linear Velocity – The linear velocity of a point on a rotating object is directly proportional to its angular velocity and the radius of the rotation.
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