Question

One of the fastest elevators in the world is found in the Taipei 101 building. It ascends at 16. 83 m/s and rises 382. 2 m. Each elevator has a maximum load capacity of 1600 kg. What power is required to raise a load of 1160 kg from the lowest level to the top floor?

Answer 1

This question involves the concepts of potential energy, power, and time.

The power required to raise the load from the lowest level to the top floor is "264.16 KW".

Power

The power required by the lift can be calculated by the following formula:

$P = \frac{P.E}{t}$

where,

• P = power = ?
• P.E = Potential Energy = mgh
• m = mass load capacity = 1600 kg
• g = acceleration due to gravity = 9.81 m/s²
• h = height achieved = 382.2 m
• t = time = $\frac{h}{v}$
• v = speed = 16.83 m/s

Therefore,

$P=\frac{mgh}{\frac{h}{v}}\\\\P = mvg = (1600\ kg)(16.83\ m/s)(9.81\ m/s^2)$

P = 264163.68 = 264.16 KW

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