A synchronous motor operates continuously on the following duty cycle: 50 hp for 8 min, 100 hp for 8 min, 150 hp for 10 min, 120 hp for 20 min, and no load for 14 min. Specify the required continuous-rated hp of the motor. (Note: A motor rating is normally chosen on the basis of the rms value given by
where k is a constant accounting for reduced ventilation at standstill.)