# Hoist Motor Power Calculator, Formula, Hoist Motor Calculation

## Hoist Motor Power Calculator

Enter the values of mass, m(kg), lifting speed, V(m/s) and motor efficiency, N to determine the value of Hoist motor power, HMP(W).

 Enter Mass: kg Enter Acceleration Due to Gravity: m/s2 Enter Lifting Speed: m/s Enter Motor Efficiency: % Result – Hoist Motor Power: W

## Hoist Motor Power Formula:

Hoist motor power signifies the electrical power a hoist motor needs to generate in order to lift a specific weight.

The weight of the object being lifted, typically expressed in kilograms (kg). A heavier object naturally requires more power to lift. This constant acceleration due to gravity (approximately 9.81 m/s²) acts on the mass, influencing the lifting force needed.

The desired speed at which the object needs to be lifted, measured in meters per second (m/s). A faster lifting speed translates to a higher power demand. No motor is perfect. This value, ranging from 0 to 1 (typically 0.7-0.9), accounts for power losses within the motor due to friction and heat generation.

Learn More:   Acceleration from the Coefficient of Friction Calculator, Formula,Coefficient of Friction Calculation

Hoist motor power plays a vital role in selecting the right hoist for a specific job. Furthermore, considering motor efficiency helps optimize power consumption and minimize energy waste.

Hoist motor power, HMP(W) in watts is calculated by multiplying the mass, m(kg) of the object being lifted in kilograms by the acceleration due to gravity, g(m/s2) approximately 9.81 m/s2 in metres per second squared by the lifting speed, V(m/s) in metres per second and then dividing by the motor efficiency, N.

Hoist motor power, HMP(W) = m(kg) * g(m/s2) * V(m/s) / N

HMP(W) = hoist motor power in watts, W.

m(kg) = mass in kilograms, kg.

g(m/s2) = acceleration due to gravity in metres per second squared, m/s2.

V(m/s) = lifting speed in metres per second, m/s.

N = motor efficiency.

### Hoist Motor Power Calculation:

1. A hoist needs to lift a 200 kg object at a speed of 1 meter per second (m/s). The motor efficiency is 80% (N = 0.8). What is the required hoist motor power?

Given: m(kg) =  200 kg, g(m/s2) = 9.81 m/s2, V(m/s) = 1 m/s, N = 0.8

Hoist motor power, HMP(W) = m(kg) * g(m/s2) * V(m/s) / N

HMP(W) = 200 * 9.81 * 1 / 0.8

HMP(W) = 2452.5 W

1. A hoist motor has a power output of 1500 watts (W) and an efficiency of 75% (N = 0.75). It needs to lift a 100 kg object. What lifting speed (V) can be achieved?

Given: HMP = 1500 W, m = 100 kg, g = 9.81 m/s², N = 0.75

Hoist motor power, HMP(W) = m(kg) * g(m/s2) * V(m/s) / N

V(m/s) = HMP(W) * N / m(kg) * g(m/s2)

V(m/s) = 1500 * 0.75 / (100 * 9.81

V(m/s) = 1.53m/s.