A bicycle with 24-inch diameter wheels is traveling at 15 mi/h. Find the angular speed of the wheels in rad/min. How many revolutions per minute do the wheels make?

Answer 1

Hi Zarifa I.,

We need to go from mi/hr to rad/min. The circumference of the 24 inch (2 ft) diameter wheel is 2π ft. Lets do some conversions.

15 mi/hr * (5280 ft / 1 mi) * (1 hr / 60 min) * (2π rad / 2π ft) = 1320 rad/min

1320 rad/min * (1 rev / 2π rad) = 660/π rev/min

I hope this helps, Joe.

Answer 2

angular speed is 1320 rad/min and 210.08 rev/min