The tires on a car have radius 14 inches. Find the angular speed of the car tire in

Question

revolutions per second when it is traveling 70 mph. Find the angular speed at 80 mph.

The tires on a car are 15 inches. Find the linear speed of the car when the tires
are rotating at 900 revolutions per minute.

Answer 1

circumference of tire = 2π(14) = 28π inches
80 miles/hour
= 80(5280) ft / 60 minutes
= 7040 ft/min
= 7040(12) inches / 60 sec
= 1408 inches/sec

so the wheel is rotating 1408/(28π) times per second
= 16.001 times per sec or 960.4 rotations/min

the angular velocity is 960.4 rpm

You did not specify what units you wanted, I gave you two of them.

See if you can make the calculation changes to solve the second question.