Answer :
Final answer:
The power delivered by the motor of the Taipei 101 skyscraper elevator, which carries a combined mass of 1250 kg (passengers and cabin) at a speed of 16.8 m/s, is approximately 206 kilowatts.
Explanation:
To find the power delivered by the motor of the world's fastest elevator, in the Taipei 101 skyscraper, we'll use the equation for power: Power (P) = Force (F) x Velocity (V). The force can be calculated using Newton's second law, Force = mass (m) x gravity (g), where g is 9.8 m/s² (standard gravity). So: F = 1250 kg * 9.8 m/s² = 12,250 N.
Then substitute the values into the power formula: P = F x V = 12,250 N x 16.8 m/s = 205,800 Watts or approximately 206 kilowatts.
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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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