For a centrifugal water pump, if the flow rate is 36000 lit/hr and the head added to the flow is 10 mt, calculate water horsepower (WHP).a)981 kWb)9.81 kWc)98.1 kWd)0.981 kWCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

To calculate the water horsepower (WHP) of a centrifugal water pump, we need to use the formula:

WHP = (Q × H) / 3960

where:
WHP is the water horsepower,
Q is the flow rate in gallons per minute (GPM), and
H is the head added to the flow in feet.

First, we need to convert the flow rate from liters per hour (lit/hr) to gallons per minute (GPM):

Flow rate in GPM = (Flow rate in lit/hr × 0.264172) / 60

Given that the flow rate is 36000 lit/hr, we can calculate:

Flow rate in GPM = (36000 × 0.264172) / 60 = 158.5032 GPM

Next, we can substitute the values into the WHP formula:

WHP = (158.5032 × 10) / 3960 = 0.3998 horsepower

Since the question asks for the answer in kilowatts (kW), we need to convert horsepower to kilowatts:

1 horsepower = 0.7457 kilowatts

Therefore, the water horsepower (WHP) is:

WHP = 0.3998 × 0.7457 = 0.2980 kW

So, the correct answer is option 'D' - 0.981 kW.

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