How long would it take a 7.5 KW motor to raise a 500 kg piano to an apartment window 10
meters above the ground?

Respuesta :

The time taken for the motor to raise the piano is 6.67 s

Data obtained from the question:

  • Power (P) = 7.5 KW = 7.5 × 1000 = 7500 W
  • Mass (m) = 500 Kg
  • Height (h) = 10 m
  • Acceleration due to gravity (g) = 10 m/s²
  • Time (t) =?

How to determine the time

The time taken for the motor to raise the piano can be obtained as follow:

P = mgh / t

7500 = (500 × 10 × 10) / t

7500 = 50000 / t

Cross multiply

7500 × t = 50000

Divide both side by 7500

t = 50000 / 7500

t = 6.67 s

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