a bicylists avarage Linear speed during race was 36mph his b

a bicylist\'s avarage Linear speed during race was 36mph. his bicycle\'s wheel have 20-in Diameter. what was the angular speed of the wheel in revolution per hour. round to nearest tenth.

Solution

Linear speed during race was 36mph

Linear speed v =36*5200*12 inches /hour

Diameter =20 inches

=>radius r =20/2 =10 inches

v =r w where w is angular speed

w =v /r

w =(36*5200*12 )/10

w =224640 radians /hour

2pi radians =1 revolution

w =224640/(2pi) rev/hour

w =35752.6 rev/hour

angular speed =35752.6 rev/hour