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Calculate the power of the engine …

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Calculate the power of the engine required of let 90 matric tonnes of coal per hour from a coal mine of depth 200 m (g=9.8m/s)

Posted by Sourav Singh 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

Here,

1 metric ton = 1000 kg

So, 90 metric ton = 90×103 kg

m = 9×104 kg

h = 200 m

g = 9.8 ms-2

Time taken = 1 hr = 3600 s

The potential energy of a mass m raised to a height h = mgh

Now to raise a mass 9×104 kg to a height 200 m we must do work equal to the potential energy of the mass at 200 m.

Potential energy of mass at 200 m = mgh= 9×104×9.8×200 Joule

So, work done must be = 9×104×9.8×200 Joule

Again we know power P = work done / time taken

P = 9×104×9.8×200/3600 = 49000 watt. or 49 kW

0Thank You

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