An elevator must lift a load of 4000 lb to a height of 50 ft in 20 s. How much horsepower is required to operate the elevator?
Find the amount of work that must be performed, and then convert that to horsepower:
4000 lb \times 50 ft = 200,000 ft-lb
\frac{200,000\ \;{\mathrm{ft-lb}}}{20\,{\mathrm{s}}} = 10,000 ft-lb/s
\frac{10,000\ ft-lb/s}{550\ ft-lb/s} = 18.18 hp