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GATE 2022 MN – Question 52

Mining Methods and Machinery · Mining Machinery · 2 marks · Numerical answer

A pump lifts water of density 1020 kg/m³ at 250 m³/hour from 150 m depth. Pipe-friction and shock head loss total 15 m. Overall efficiency is 68%. Find motor input in kW, to two decimals.

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Correct answer: 165.00 to 170.00

Explanation

Total required head is 150+15=165 m. Flow is 250/3600 m³/s. Electrical input is ρgQH/η =1020×9.81×(250/3600)×165/0.68 watts. Dividing by 1000 gives 168.61 kW. Loss head is added to lift and efficiency divides hydraulic power.

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