Question 14 600 mm O Q-500 Vs MOTOR 4. Water enters a motor through a 600-mm diameter pipe under a pressure of 14 kPa. It leaves through a 900-mm diameter exhaust pipe with a pressure of 4 kPa. A vertical distance of 2.5 m separates the centers of the two pipes at the sections where the pressures are measured. If 500 liters of water pass the motor each second, compute the power in kW and hp supplied to the motor. (Answer: 23.98 hp) 2.5 IT 4 kPa 900 mm

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Transcribed Image Text: 14 600 mm O Q-500 Vs MOTOR 4. Water enters a motor through a 600-mm diameter pipe under a pressure of 14 kPa. It leaves through a 900-mm diameter exhaust pipe with a pressure of 4 kPa. A vertical distance of 2.5 m separates the centers of the two pipes at the sections where the pressures are measured. If 500 liters of water pass the motor each second, compute the power in kW and hp supplied to the motor. (Answer: 23.98 hp) 2.5 IT 4 kPa 900 mm
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Transcribed Image Text: 14 600 mm O Q-500 Vs MOTOR 4. Water enters a motor through a 600-mm diameter pipe under a pressure of 14 kPa. It leaves through a 900-mm diameter exhaust pipe with a pressure of 4 kPa. A vertical distance of 2.5 m separates the centers of the two pipes at the sections where the pressures are measured. If 500 liters of water pass the motor each second, compute the power in kW and hp supplied to the motor. (Answer: 23.98 hp) 2.5 IT 4 kPa 900 mm
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Ans) Apply Bernoulli equation between point 1 and 2 located at pump inlet and pipe exit respectively           P1 /  + V12/2g + Z1 = P2 /  + V22/2g + Z2 + Hm       Hm is Head supplied to pump        According to question, Q = 500 L/s or 0.5 m3/s     => V1 = Q / A1 = 0.5 / [(/4)(0.6)2] = 1.77 m/s     => V2 = Q / A2 = 0.5 / [(/4)(0.9)2] ... See the full answer