Question

A remote-controlled car’s wheel accelerates at 22.2 rad/s2 . If the wheel begins with an angular speed of 11.0 rad/s, what is the wheel’s angular speed after exactly twelve full turns? Answer in units of rad/s.

Answer 1

The angular speed remained constant after twelve turns at 11 rad/s.

Explanation:

As per the Newtons equation of motion, the final velocity can be determined by using the below equation, provided ,the displacement and acceleration with initial velocity is given.

$v^{2}= u^{2}+2as$

Since, the present case follows circular motion, the displacement will be equal to angular displacement. And the velocity is equal to angular velocity.

As the car revolves complete twelve turns, then the displacement will be zero, since the final position is equal to the initial position.

So,

$v^{2}= (11)^{2}+2*22.2*0\\\\v = 11 rad/s$

Thus, the angular speed remained constant after twelve turns at 11 rad/s.