In the figure below, wheel A of radius rA = 12 cm is coupled by belt B to wheel C of radius rC = 23 cm. The angular speed of wheel A is increased…

In the figure below, wheel A of radius rA = 12 cm is coupled by belt B to wheel C of radius rC = 23 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.6 rad/s2. Find the time needed for wheel C to reach an angular speed of 110 rev/min, assuming the belt does not slip.