Hydraulic and Shaft Power of a Pump Calculator
The Formulas
The formulas for calculating hydraulic and shaft power of a pump are:
1. Hydraulic Power:
\[Hydraulic Power (HP) = \frac{Flow Rate (GPM) \times Head (ft) \times Specific Gravity}{3960 \times 100}\]
2. Shaft Power:
\[Shaft Power (HP) = \frac{Hydraulic Power (HP)}{Efficiency (\%)}\]
Where:
- Flow Rate: The volumetric flow rate of the fluid (in gallons per minute, GPM)
- Head: The total dynamic head of the pump (in feet)
- Specific Gravity: The ratio of the density of the fluid to the density of water
- Efficiency: The pump efficiency (in percentage)
Calculation Steps
- Calculate the hydraulic power using the flow rate, head, and specific gravity
- Calculate the shaft power by dividing the hydraulic power by the efficiency
Example Calculation
Let's calculate the hydraulic and shaft power for a pump with the following parameters:
- Flow Rate: 500 GPM
- Head: 100 ft
- Specific Gravity: 1.0
- Efficiency: 75%
- Hydraulic Power = (500 × 100 × 1.0) ÷ (3960 × 100) = 12.63 HP
- Shaft Power = 12.63 ÷ (75 ÷ 100) = 16.84 HP
Visual Representation
This visual shows the hydraulic and shaft power of a pump based on our example calculation.