Angular speed of smaller wheel with r=10cm, R=50cm, 100rpm

[mathdad]

I decided to change the radius.

Let r = radius

If r = 10 cm, R = 50 cm, and the angular speed of the larger wheel is 100 rpm, determine the angular speed of the smaller wheel in radians per minute.

What are the steps to solve this question?

 

[MarkFL]

I am assuming one wheel drives the other via a belt. As such, what to we know about the linear velocity of points on the outer rim of both wheels?

 

[mathdad]

I will post my work for this question tonight after work.