Calculate the Efficiency of a Motor

What is the efficiency of a motor if it has the following specifications?

Output power of motor = 30 hp
Full load current = 35 amp
Line voltage = 460 v
Power factor = 0.86

Efficiency Calculation:

Given the data provided:
Output power of motor = 30 hp = 22380 W
Full load current = 35 A
Line voltage = 460 V
Power factor = 0.86

To calculate the efficiency of the motor, we first need to determine the input power to the motor. The formula to calculate input power is:
Input Power = √3 x Line Voltage x Full Load Current x Power Factor

Plugging in the values:
Input Power = √3 x 460 x 35 x 0.86 = 23981.97 W

Efficiency = Output Power / Input Power
Efficiency = 22380 / 23981.97
Efficiency = 0.9332 or 93.32%

Therefore, the efficiency of the motor with the given specifications is 93.32%.