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Answer: An elevator has mass 600 kg, not including
Chapter 6, Problem 56E(choose chapter or problem)
Problem 56E
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 kg.
Questions & Answers
QUESTION:
Problem 56E
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 kg.
ANSWER:
Solution 56E
Step 1 of 3:
Here in the given problem we need to calculate the number of passengers(n) can be lift using elevator with average weight of one such passenger m=65 kg in a elevator of mass M= 600 kg moving a distance h=20 meter for t=16 seconds driving a power of P=40 hp.
Given data,
- Mass of elevator, M= 600 kg
- Mass of one person, m= 65kg
- Mass of n number of passenger,=n m=n 65 kg
-
Total mass ,
= total mass of passengers + mass of elevator
= nm + M= (n 65 + 600)kg
- Power, P= 40 hp
Using 1hp = 746 W P=40746 W = 29840 W
- Height, h= 20 m
- Time taken , t= 16 s
To find,
Number of passengers, n=?