QUESTIONA hoist raises a 3,300-lb component a vertical distance of 10 ft in 2 minutes. How much horsepower is the hoist developing?
- A1.0 hp
- B16.5 hp
- C0.5 hp
Show the answer and explanation
Correct answer: C. 0.5 hp
- A — incorrect This results from ignoring the 2-minute time period. 33,000 ft-lb of work spread over 2 minutes is only 16,500 ft-lb/min, which is half a horsepower.
- B — incorrect 16,500 ft-lb/min must be divided by 33,000 ft-lb/min, not by 1,000, to convert to horsepower.
- C — correct Power = force × distance ÷ time = 3,300 lb × 10 ft ÷ 2 min = 16,500 ft-lb/min. Dividing by 33,000 ft-lb/min per horsepower gives 0.5 hp.