A crane with an efficiency of 0.8 takes 20 s to lift a load of 50 kg to a height of 200 m.How much power does it take to run the crane (within 5% accuracy)?

Question

Quizplus · Accepted Answer

First, calculate the work done to lift the load: Work = Force x Distance = mgh, where m is mass, g is acceleration due to gravity (9.8 m/s^2), and h is height. So, Work = 50 kg * 9.8 m/s^2 * 200 m = 98,000 J. The power required is Work/time = 98,000 J / 20 s = 4,900 W. Considering the efficiency of 0.8, the actual power needed is 4,900 W / 0.8 = 6,125 W, which is approximately 6.1 x 10^3 W.

A Crane with an Efficiency of 0