Power and Horsepower in Electrical Motors

Electrical power is rated in Horsepower or Watts.

Electrical power is in general rated in Watts or Horsepower. A horsepower is a unit of power equal to 746 watts or 33,000 lb.ft per minute (or 550 lb.ft per second).

A watt is a unit of measure equal to the power produced by a current of 1 amp across the potential difference of 1 volt. A watt is 1/746 of 1 horsepower.

Even if the watt is the base unit of electrical power, its common to rate motor power is in either horsepower or watts.

Power in Watts

Electric power of a motor can be expressed as:

P_w = η_m U I (1)

where

P_w = power (W, watt)

η_m = motor efficiency

U = voltage (V)

I = current (A, amps)

Power in Horsepower

Horse power of a motor can be expressed as:

P_hp = P_w / 746 (2)

or

P_hp = η_m U I / 746 (2b)

where

P_hp = horsepower (hp)

Example - The Horsepower of an Electrical Motor

The horsehorse power of an 230 V electrical motor with 85% efficiency pulling 10 amps can be calculated as:

P_hp = 0.85 (230 V) (10 amps) / 746

    = 2,62 hp

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