An electric motor draws a current of 10 amps with a voltage of 110 V. The output shaft develops a torque of 9.7 N*m, a rotational speed of 1000 rpm, and operates at a steady state. Determine the following:
a) The electric power in kW
b) The power of the output shaft in kW
c) The average surface temperature in ºC, if heat transfer occurs by convection to the surroundings at 21ºC. Assume the convective heat transfer coefficient is 3.9 W/K and that all losses occur due to heat transfer.