Question

the taipei 101 in taiwan is a 1667-foot tall, 101-story skyscraper. the skyscraper is the home of the world's fastest elevator. the elevators transport visitors from the ground floor to the observation deck on the 89th floor at speeds up to 16.8 m/s. determine the power delivered by the motor lift the 10 passengers at this speed. the combined mass of the passengers and cabin is 1250 kg

Answer 1

The power delivered by the motor lift in elevating the 10 passengers at the speed of 16.8 m/s is 205800 Watts

What is power?

Power is simply defined as the rate at which energy is consumed. It can be expressed mathematically as

Power (P) = Force (F) × velocity (v)

P = Fv

How to determine the force

• Mass (m) = 1250 Kg
• Acceleration due to gravity (g) = 9.8 m/s²

• Force (F) =?

F = ma

F = 1250 × 9.8

F = 12250 N

How to determine the power

• Velocity (v) = 16.8 m/s
• Force (F) = 12250 N

• Power (P) =?

P = Fv

P = 12250 × 16.8

P = 205800 Watts

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