A mass of 700kg is hoisted vertically at a velocity of 120m. Calculate
The work done per min
The power required
Given:
Mass (m) = 700 kg
Velocity (v) = 120 m/s
1. Work done per minute:
Work is defined as the force applied over a distance. In this case, the force required to hoist the mass vertically is equal to its weight.
Weight = mass x gravity = 700 kg x 9.81 m/s^2 = 6867 N
Work done per minute = Force x distance
Since the distance is not given, we will assume that the distance is equivalent to the velocity (120 m).
Work done per minute = 6867 N x 120 m = 824040 J
2. Power required:
Power is defined as the rate at which work is done. It can be calculated using the formula:
Power = Work / time
Given that the work done per minute is 824040 J, we need to convert this to joules.
One minute is equal to 60 seconds, so the work done per minute is equivalent to:
824040 J / 60 = 13734 J/s (or 13734 W)
Therefore, the power required to hoist the mass at a velocity of 120 m/s is 13734 watts.