Question

A rotating wheel has a radius of 6 ft and 6 in. A point on the circumference of the 

wheel moves 30ft in 2 seconds. Find the angular velocity of the wheel?

Answer 1

$v=s/t=30/2=15ft/s$

$r=6+6/12=6.5ft$

$v=r\omega$

$15=6.5\omega$

$\omega=15/6.5=2.31rad/s$