An escalator in a busy shopping centre lifts people up from one floor to another. This takes 1.2 MJ every minute. What is the power output of the escalator motor? Give your answer in kW.

Respuesta :

An escalator that takes 1.2 MJ every minute has a power output of 1200 kW.

An escalator used to lift people up from one floor to another, exerts a work (w) of 1.2 MJ in 1 minute (t).

In physics, power (P) is the amount of energy (w) transferred or converted per unit time (t).

[tex]P = \frac{w}{t} = \frac{1.2 \times 10^{6} J }{1min} = 1.2 \times 10^{6} W[/tex]

We can convert 1.2 × 10⁶ W to kW using the conversion factor 1 kW = 1000 W.

[tex]1.2 \times 10^{6} W \times \frac{1kW}{1000W} = 1200kW[/tex]

An escalator that takes 1.2 MJ every minute has a power output of 1200 kW.

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