Chemical Engineering Basics - Engineering

Q1:

A boy weighing 110lb climbs up a 50 ft high vertical destination in 100 seconds. Horse power of the boy is __________ hp.

A 0.1

B 0.5

C 0.8

D 1

ANS:A - 0.1

To calculate the horsepower of the boy, we need to first find the work done by the boy in climbing the 50 ft high destination. Work is defined as force multiplied by distance. The force exerted by the boy is his weight, which is 110 lb, and the distance is the height climbed, which is 50 ft. Work=Force×DistanceWork=Force×Distance Work=110 lb×50 ftWork=110 lb×50 ft Now, let's convert the units so that they are consistent with horsepower calculations. 1 horsepower (hp) is equal to 550 foot-pounds per second (ft-lb/s). 1 hp=550 ft-lb/s1 hp=550 ft-lb/s So, to find the horsepower, we divide the work done by the time taken to do it, and then divide by 550 to convert to horsepower. Horsepower=WorkTime×1550Horsepower=TimeWork​×5501​ Horsepower=(110×50)100×550Horsepower=100×550(110×50)​ Horsepower=550055000Horsepower=550005500​ Horsepower=0.1Horsepower=0.1 So, the horsepower of the boy is 0.10.1 hp. Therefore, the correct option is 0.10.1.