Hydraulic Pump Power Formula

Hydraulic Pump Power Formula:

\[ HP = \frac{Q \times P \times 1714}{\eta} \]

Hydraulic Power (HP):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Hydraulic Pump Power Formula?

Definition: This formula calculates the horsepower required by a hydraulic pump based on flow rate, pressure, and system efficiency.

Purpose: It helps engineers and technicians properly size hydraulic pumps for various applications.

2. How Does the Formula Work?

The formula is:

\[ HP = \frac{Q \times P \times 1714}{\eta} \]

Where:

\( HP \) — Hydraulic horsepower
\( Q \) — Flow rate in gallons per minute (GPM)
\( P \) — Pressure in pounds per square inch (psi)
\( \eta \) — Pump efficiency (0-1)
1714 — Conversion factor (1 HP = 1714 GPM·psi)

Explanation: The formula converts the hydraulic power (flow × pressure) to mechanical power (horsepower) while accounting for pump efficiency.

3. Importance of Hydraulic Power Calculation

Details: Proper power calculation ensures the pump is neither undersized (causing performance issues) nor oversized (wasting energy).

4. Using the Calculator

Tips: Enter the flow rate in GPM, pressure in psi, and pump efficiency (default 0.85 for 85% efficiency). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is 1714 used in the formula?
A: It's the conversion factor between GPM·psi and horsepower (1 HP = 1714 GPM·psi).

Q2: What's a typical pump efficiency value?
A: Most hydraulic pumps have 80-90% efficiency (0.8-0.9), but this varies by pump type and condition.

Q3: How does pressure affect the power requirement?
A: Power increases linearly with pressure - double the pressure means double the power needed.

Q4: What if my system uses multiple pumps?
A: Calculate each pump separately and sum the power requirements.

Q5: Does this account for motor efficiency?
A: No, this calculates hydraulic power. For electric motor sizing, divide the result by motor efficiency.