Calculating Motor Horsepower Required for a System

What motor horsepower is needed to drive a system that requires 22 hp to turn its shaft?

Given that a machine needs 22 hp to turn its shaft, a gear unit with an efficiency of 85% is used between the machine and the motor. What motor horsepower is required to drive the whole system?

Answer:

The motor horsepower required to drive the whole system is approximately 25.88 hp.

To find the motor horsepower required to drive the whole system, we need to consider the efficiency of the gear unit. The efficiency of 85% means that 85% of the power input is transmitted to the output. So, the power required by the motor can be found by dividing the power required by the machine by the efficiency of the gear unit.

Given that the machine needs 22 horsepower (hp) to turn its shaft, we can calculate the motor horsepower as follows:

Motor Horsepower = Machine Horsepower / Efficiency

Motor Horsepower = 22 hp / 0.85

Motor Horsepower ≈ 25.88 hp

Therefore, the motor horsepower required to drive the whole system is approximately 25.88 hp.