Question

An elevator has mass 600 kg, not including passengers. The elevator is designed to ascend, at constant speed, a vertical distance of 20.0 m (five floors) in 16.0 s, and it is driven by a motor that can provide up to 40 hp to the elevator. What is the maximum number of passengers that can ride in the elevator? Assume that an average passenger has mass 65.0.

Answer 1

The maximum number of passengers that can ride in the elevator are n°= 28 passengers.

Step-by-step explanation:

P= 40 HP = 29840 W

d= 20m

t= 16s

me= 600kg

mp= 65 kg

g= 9.8 m/s²

v= d/t

v= 1.25 m/s

P=F*v

P/v= F

F= 23872 N

m= F/g

m= 2435.91 kg

m= me + n° * mp

(m - me) / mp = n°

n°≅ 28 passengers