A motorcycle wheel has a diameter of 195 inches see figure a

A motorcycle wheel has a diameter of 19.5 inches (see figure) and rotates at 1050 revolutions per minute. Find the angular speed in radians per minute. Find the linear speed of the motorcycle (in inches per minute).

Solution

Solution -: diameter = 19.5 inches

angluar velocity = 2pi*n= 2pi *1050=2100pi

Linear velocity = w *r = 2100pi *19.5/2 = 20475 pi