How to find angular velocity in terms of revolutions per second and linear velocity in terms of units per sec

Hi^_^. I want to know the formulas for angular velocity and linear velocity (along with what each variable in the formula represents, please~)

I'm mainly looking for the formulas, but it'd be nice to see them applied.. Here are two examples of problems from a worksheet:

1). A truck driver travels at 60 miles per hour. The truck tires have a diameter of 26 inches. What is the angular velocity of the wheels in revolutions per second (rps)?

2). A gear of radius 4.6 cm turns at 3 revolutions per second. What is the linear velocity of the gear in centimeters per second?

Thanks! :).

Good question!

To make learning math a bit easier, Dr. Pan (TucsonMathDoc) has recorded a YouTube video to help visually answer it.

Please comment on YouTube or Y!A and let her know if it helped.

Thanks!