Electric Hoist Power Calculation

How do I determine the power of an electric hoist motor?

An electric hoist is used to lift a 250.0 kg load to a height of 80.0 m in 39.2 s. What is the power of the hoist motor in KW and hp?

Calculation of Power in KW and hp

To determine the power of an electric hoist motor, we can use the formula:

Power (P) = mgh / t

Where:

m = mass of the load (250.0 kg)

g = acceleration due to gravity (9.8 m/s²)

h = height the load is lifted (80.0 m)

t = time taken to lift the load (39.2 s)

Substitute the values into the formula:

Power (P) = (250 × 9.8 × 80) / 39.2 = 5000 W

Convert the power from watts to kilowatts:

Power (P) = 5000 / 1000 = 5 KW

Therefore, the power of the hoist motor is 5 KW.

Let's also calculate the power in horsepower:

1 KW is equal to 1.341 hp.

Power (in hp) = 5 KW × 1.341 hp / 1 KW = 6.705 hp

Thus, the power of the hoist motor is 5 KW or 6.705 hp.