The spoke of a bicycle wheel has a radius of 13 inches and i

The spoke of a bicycle wheel has a radius of 13 inches and is turning at an angular velocity of 129.28 rotations per minute. How fast is the bike moving in mph? (Hint: Find the linear velocity of the bike.)

Solution

angular velocity = w = 129.28 rad/min = 2.155 rad/s

Radius = r = 13 inches = 0.3302 m

Linear Velocity = v = w*r =  2.155*0.3302 = 0.711581 m/s = 1.6 mph