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 po

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3 years ago

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wer output of the escalator motor? Give your answer in kW.

1 answer:

Ray Of Light [21] · Answer 1 · 2022-10-22T21:26:09+03:00

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).

$P = \frac{w}{t} = \frac{1.2 \times 10^{6} J }{1min} = 1.2 \times 10^{6} W$

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

$1.2 \times 10^{6} W \times \frac{1kW}{1000W} = 1200kW$

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