What is the required shaft power of the motor and how much electricity is required to power the motor based on the given data?
The required shaft power of the motor can be calculated using the equation:
Power (in hp) = (Flow rate * Pressure difference) / Efficiency.
Given that the flow rate is 100 gal/min, the pressure difference is 20 psig, and the efficiency of the pump is 60%, we can substitute these values into the equation:
Power (in hp) = (100 gal/min * 20 psig) / 60% = 2000 gal*psig/min.
To convert the power to kilowatts (kW), we can use the conversion factor of 1 hp = 0.7355 kW:
Power (in kW) = 2000 gal*psig/min * 0.7355 kW/hp = 1471 kW.
Calculation of Required Shaft Power:
To calculate the required shaft power of the motor, we first identify the flow rate, pressure difference, and efficiency of the pump. Given that the pump flows 100 gallons per minute of water with an inlet pressure of 0 psig and an outlet pressure of 20 psig, the required power is calculated by multiplying the flow rate and pressure difference, then dividing by the efficiency. This results in 2000 gal*psig/min as the required shaft power in horsepower (hp).
Conversion to Electricity Consumption:
Once we have determined the required shaft power in hp, we can convert this value to kilowatts (kW) by using the conversion factor of 1 hp = 0.7355 kW. The final result of the required electricity consumption to power the motor is 1471 kW.