Answer :
To calculate the hydraulic power output of a pump, we use the following formula:
[tex]\[ \text{Hydraulic Power (HP)} = \frac{\text{Flow Rate (GPM)} \times \text{Pressure (PSI)}}{1714} \][/tex]
Where:
- Flow Rate is in gallons per minute (GPM).
- Pressure is in pounds per square inch (PSI).
- 1714 is the constant used to convert the units of GPM and PSI to horsepower (HP).
For the given problem:
- The flow rate of the pump is 45 gallons per minute.
- The pressure is 4500 pounds per square inch.
Plug these values into the formula:
[tex]\[ \text{Hydraulic Power (HP)} = \frac{45 \times 4500}{1714} \][/tex]
This calculation yields approximately 118 horsepower (HP).
Therefore, the correct option for the hydraulic power output is:
b. 118 hp
[tex]\[ \text{Hydraulic Power (HP)} = \frac{\text{Flow Rate (GPM)} \times \text{Pressure (PSI)}}{1714} \][/tex]
Where:
- Flow Rate is in gallons per minute (GPM).
- Pressure is in pounds per square inch (PSI).
- 1714 is the constant used to convert the units of GPM and PSI to horsepower (HP).
For the given problem:
- The flow rate of the pump is 45 gallons per minute.
- The pressure is 4500 pounds per square inch.
Plug these values into the formula:
[tex]\[ \text{Hydraulic Power (HP)} = \frac{45 \times 4500}{1714} \][/tex]
This calculation yields approximately 118 horsepower (HP).
Therefore, the correct option for the hydraulic power output is:
b. 118 hp