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प्रश्न
Calculate the horse power of the motor of an elevator, which can carry 10 persons of average mass 60 kg through a vertical height of 20 m in 30 s.
[Take g = 10 N/kg, 1 HP = 750 W]
संख्यात्मक
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उत्तर
Total mass of the 10 persons = 10 × 60 = 600 kg
Work done in lifting them = mgh
= 600 × 10 × 20
= 120000 J
\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \]
\[= \frac{120000\ \mathrm{J}}{30\ \mathrm{s}} \]
= 4,000 W
Power in HP = `4000/750`
= 5.33 HP
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