Consider a motor that exerts a constant torque of 25.0n \cdot m to a horizontal platform whose moment of inertia is 50.0kg \cdot m^2 . assume that the platform is initially at rest and the torque is applied for 12.0rotations . neglect friction.

part a ) how much work w does the motor do on the platform during this process?
enter your answer in joules to four significant figures.
w =
1885
\rm j
part b ) what is the rotational kinetic energy of the platform k_rot, f at the end of the process described above?
enter your answer in joules to four significant figures.
k_rot, f =
1885
\rm j
part c ) what is the angular velocity omega_f of the platform at the end of this process?
enter your answer in radians per second to three significant figures.
omega_f =
8.68
{\rm rad / s}
part d ) how long \delta t does it take for the motor to do the work done on the platform calculated in part a?
enter your answer in seconds to three significant figures.
\delta t =
17.4
\rm s
part e ) what is the average power p_avg delivered by the motor in the situation above?
enter your answer in watts to three significant figures.
p_avg = 109 \rm w
part f ) note that the instantaneous power p delivered by the motor is directly proportional to omega, so p increases as the platform spins faster and faster. how does the instantaneous power p_f being delivered by the motor at the time t_{\rm f} compare to the average power p_avg calculated in part e?
note that the instantaneous power delivered by the motor is directly proportional to , so increases as the platform spins faster and faster. how does the instantaneous power being delivered by the motor at the time compare to the average power calculated in part e?
p = p_{\rm avg}
p = 2 * p_{\rm avg}
p = p_{\rm avg} / 2
none of the above