A remote-controlled car's wheel accelerates at 22.6 rad/s2. If the wheel begins with an angular speed of 10.2 rad/s, what is the wheel's angular speed after exactly sixteen full turns? Answer in units of rad/s.

70.9pi rad/s

Explanation:

angle turned through = 16

angular acceleration = 22.6 rad/s2

angular speed = 10.2 rad/s

time = ?

angular acceleration = angular speed/time

time = 10.2/22.6

time = 0.45 seconds

angular speed = angle turned through/time

angular speed = (16 * 2pi) / 0.45

= 70.9pi rad/s