The winch evenly lifts a load weighing 200 kg to a height of 3 m in 5 s. What is the equal power of a winch?

Given:

m = 200 kilograms – the load that the winch lifts;

H = 3 meters – the height to which the load is lifted;

t = 5 seconds – the time interval during which the winch lifts the load;

g = 10 m / s ^ 2 – acceleration of gravity.

It is required to determine the power of the winch N (Watt).

Since, according to the condition of the problem, the winch lifts the load evenly, the force developed by the winch is equal to:

F = m * g = 200 * 10 = 2000 Newton.

This force does work equal to:

A = F * H = 2000 * 3 = 6000 Joules.

Then the power is equal to:

N = A / t = 6000/5 = 1200 watts.

Answer: the power of the winch is 1200 watts.