A bicycle is moving at a rate of 5 mph. The diameter of the wheels is 1.6 feet. Find the angular speed of the wheel in radians per minute

Answer 1

Need to convert 5mph to 26400feet/hr . There are 60minutes in an hour which gives us

26400/60 feet/minute = 440 feet/minute

One revolution would be the circumference of the wheel which is 3.2 pi

So number of revolutions is 440/3.2pi and each revolution is 2pi radians so angular speed is

(440)(2pi)/3.2 pi= 275 radians/minute