Calculate the Power Output of the Crane
What is the power output of the crane in horsepower?
Given: Mass of car, m = 500 lb = 226.8 kg, Power output of crane, P = 1.82 hp = 1357.72 W
Answer:
To calculate the power of the crane, we can use the formula P = Fv, where P is the power, F is the force, and v is the velocity. In this case, the force is equal to the weight of the piano, which is 500 lb. The velocity is given as 2 ft/s.
The power output of the crane is 0.0302 horsepower. This is calculated by multiplying the weight of the piano (500 lb) by the velocity (1/30 ft/s) which equals 16.67 ft-lb/s. Then, converting this to horsepower using the conversion factor of 550 ft-lb/s per horsepower.