A car is moving with a constant speed of 70.0 mi/h (31.2 m/s). If its wheels have a radius of 24.1 cm, what is their angular speed

129.46rad/s

Explanation:

Given

Linear speed v = 31.2m/s

Radius of wheel = 24.1cm = 0.241m

The formula for calculating the angular speed in terms of linear speed is expressed as;

v = wr

w is the angular velocity

r is the radius

v is the linear velocity

From the formula:

w = v/r

Substitute

w = 31.2/0.241

w = 129.46rad/s

Hence the angular speed is 129.46rad/s