A merrygoround 5 meters in diameter accelerates uniformly from 1 rpm to 30 rpm in 10 seconds.
a. What is the angular acceleration of the wheel?
b. How far will a point on the edge of the merrygoround travel in this time?
c. Assuming angular acceleration is constant, how much additional time does it take the merrygoround to reach 60 rpm?
d. The moment of inertia of the merrygoround is 1.5 x 10^7 kg m^2, calculate the torque required to accelerate the merrygoround.
e. What is the kinetic energy of the merrygoround while spinning at 60 rpm.