An elevator has mass 650 kg , not including passengers. The elevator is designed
ID: 1441032 • Letter: A
Question
An elevator has mass 650 kg , not including passengers. The elevator is designed to ascend, at constant speed, a vertical distance of 19.0 m (five floors) in 15.5 s , and it is driven by a motor that can provide up to 44 hp to the elevator.
Part A
What is the maximum number of passengers that can ride in the elevator? Assume that an average passenger has mass 65.0 kg.
Express your answer in integer
n = _______
An elevator has mass 650 kg , not including passengers. The elevator is designed to ascend, at constant speed, a vertical distance of 19.0 m (five floors) in 15.5 s , and it is driven by a motor that can provide up to 44 hp to the elevator.
Part A
What is the maximum number of passengers that can ride in the elevator? Assume that an average passenger has mass 65.0 kg.
Express your answer in integer
n = _______
Explanation / Answer
power P = Eenrgy/time
P = mgh/t
1 hp = 746 Watts
Power Max 44 *746 Watts
speed of elevator = 19/15.5 = 1.22 m/s
Power = Force * Velocity
total weight = (650 + 65x) * 9.8
herr x is no. of passenegrs
Power for lifting = Force * velocity
P max = (650 + 65x) * 9.8*1.22 = 44* 746
solving for x
x = 32 passengers
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