Tag: angular speed

Two Wheels and a belt

Two wheels of different radii (large wheel of radius R and small wheel of radius r) rotate by the aid of a belt. The belt move with constant speed. If we assume no friction in the system then:

A) Find the relation between angular speeds of points X and Y.

B) Find the relation between angular speeds of points X and Z.

wheels and belt

Analyze the problem:

It is a basic rotational motion problem so we will assume angular speed and its relation with linear speed.

What are the given information?

  1. Radius of the large wheel = R
  2. Radius of the small wheel = r
  3. The belt move with constant speed.. this is the linear speed at the rim of the large and small wheels.

What are the needed information?

  1. How angular speed of point x relates to angular speed of point y.
  2. How angular speed of point x relates to angular speed of point z.

 

SOLUTION:

wheels and belt1