HP to GPH Calculator
How to Convert HP to GPH
The HP to GPH Converter calculates the flow rate in gallons per hour (GPH) from horsepower (HP), efficiency, and head using the following steps:
Step 1: Convert Head to Feet (if needed):
\( \text{Head (ft)} = \text{Head (cm)} \times 0.0328084 \)
\( \text{Head (ft)} = \text{Head (m)} \times 3.28084 \)
\( \text{Head (ft)} = \text{Head (in)} \times 0.0833333 \)
\( \text{Head (ft)} = \text{Head (ft)} \times 1 \)
Step 2: Calculate GPM (Gallons per Minute):
\( \text{GPM} = \frac{\text{HP} \times 3960 \times \text{Efficiency}}{\text{Head (ft)}} \)
Step 3: Convert GPM to GPH (Gallons per Hour):
\( \text{GPH} = \text{GPM} \times 60 \)
Combined Formula:
\( \text{GPH} = \frac{\text{HP} \times 3960 \times \text{Efficiency} \times 60}{\text{Head (ft)}} \)
Where:
- \( \text{HP} \): Horsepower, a unit of power.
- \( \text{Efficiency} \): Pump efficiency as a decimal (e.g., 0.85 for 85%).
- \( \text{Head} \): Total dynamic head in selected unit (cm, m, in, or ft), converted to feet.
- \( \text{GPM} \): Gallons per minute, an intermediate flow rate unit.
- \( \text{GPH} \): Gallons per hour, a unit of volumetric flow rate.
- \( 60 \): Conversion factor (60 minutes per hour).
Enter the horsepower, efficiency, head value, and select the head unit to calculate the flow rate in GPM and GPH.
Using the HP to GPH Converter
This converter is designed for applications in fluid dynamics, pump design, and hydraulic engineering to convert horsepower to flow rate in GPH.
Input the horsepower (HP), efficiency (as a decimal), head value, and select the head unit (cm, m, in, or ft). The calculator will convert the head to feet and display the flow rate in both GPM and GPH.
Example: Convert 2 HP to GPH with 0.85 efficiency and 5000 cm head.
- Horsepower: \( 2 \, \text{HP} \), Efficiency: \( 0.85 \), Head: \( 5000 \, \text{cm} \)
- Head in feet: \( 5000 \times 0.0328084 = 164.042 \, \text{ft} \)
- GPM: \( \frac{2 \times 3960 \times 0.85}{164.042} = 41.029373 \, \text{GPM} \)
- GPH: \( 41.029373 \times 60 = 2461.762380 \, \text{GPH} \)
- Result: \( 2 \, \text{HP} = 2461.76 \, \text{GPH} \)
Use this tool for accurate conversions in engineering and fluid flow calculations.
Common Conversion Table
The following table provides quick reference conversions for HP to GPH with Efficiency = 0.85 and Head = 50 ft (or equivalent in other units):
| HP |
Head |
GPM |
GPH |
| 1 |
50 ft |
67.32 |
4039.20 |
| 2 |
1524 cm |
134.64 |
8078.40 |
| 5 |
15.24 m |
336.60 |
20196.00 |
| 10 |
600 in |
673.20 |
40392.00 |
| 20 |
50 ft |
1346.40 |
80784.00 |
Use this table for quick lookups or to verify calculator results. Note: Head values are equivalent to 50 ft (1524 cm, 15.24 m, 600 in).
Common FAQ
Below are frequently asked questions about HP to GPH conversions:
- Q: What is the difference between GPM and GPH?
A: GPM (gallons per minute) measures flow rate in gallons per minute, while GPH (gallons per hour) measures flow in gallons per hour. 1 GPM = 60 GPH.
- Q: Why is efficiency needed in the calculation?
A: Efficiency accounts for energy losses in pumps or systems, expressed as a decimal (e.g., 0.85 for 85% efficiency).
- Q: What units can I use for head?
A: You can input head in centimeters (cm), meters (m), inches (in), or feet (ft). The calculator converts all inputs to feet for computation.
- Q: How accurate is this converter?
A: The converter uses the precise factor 60 (minutes per hour) and provides results rounded to 6 decimal places for GPM and 2 for GPH for accuracy.
- Q: Can negative values be used?
A: Negative HP or head values are not physically meaningful. Efficiency should be between 0 and 1. The calculator enforces positive head values.
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