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Water Horsepower Calculator

Calculate water horsepower, the theoretical minimum power to move water.

Reviewed for accuracy by the Math Ora X team Last updated

Result

Understanding Water Horsepower Calculator

Water Horsepower is the minimum power theoretically required to move a given volume of water against a given head.

$$WHP = \frac{Q \times H \times SG}{3960}$$

How to use this calculator

  1. Enter the flow rate \(Q\) in gallons per minute.
  2. Enter the total head \(H\) in feet.
  3. Enter the specific gravity \(SG\), which is usually \(1\) for water.
  4. Read the water horsepower result, which is the theoretical minimum power in horsepower.

The formula explained

The formula \(WHP = \frac{Q \times H \times SG}{3960}\) computes the theoretical horsepower needed to move a liquid. For water, \(SG\) is usually \(1\), so the result depends mainly on flow and head.

  • Q = flow rate in gallons per minute
  • H = total head in feet
  • SG = specific gravity of the liquid, compared with water
  • WHP = water horsepower, the theoretical minimum power in horsepower

Step by step method

  1. Multiply the flow rate \(Q\) by the head \(H\).
  2. Multiply that result by the specific gravity \(SG\).
  3. Divide by \(3960\) to get water horsepower.

Worked example

Problem. Find the water horsepower for a pump moving \(250\) gallons per minute against a head of \(60\) feet with water \(SG = 1\).

  1. Use \(WHP = \frac{Q \times H \times SG}{3960}\).
  2. Substitute the values, \(WHP = \frac{250 \times 60 \times 1}{3960}\).
  3. Compute the result, \(WHP \approx 3.79\).

Answer. \(3.79\) horsepower

Tips and common mistakes

  • Make sure the flow rate is in gallons per minute and the head is in feet, because the constant \(3960\) depends on those units.
  • This gives theoretical power only, so real pump power will be higher because of efficiency losses.

Frequently asked questions

How do I use the Water Horsepower Calculator?+

Enter the flow rate Q, the head H, and the specific gravity SG of the liquid. The calculator applies WHP = (Q × H × SG) / 3960 to give the theoretical water horsepower.

What does water horsepower mean in the formula?+

Water horsepower is the power needed to move water against a given head, assuming ideal conditions with no losses. It does not include pump inefficiency, motor losses, or friction beyond what is already reflected in the head value.

What units should I use for flow rate, head, and specific gravity?+

Use gallons per minute for Q, feet for H, and a dimensionless specific gravity value, usually 1.0 for water. The 3960 constant matches those US customary units.

What happens if the liquid is not water?+

Use the liquid’s specific gravity in the SG field, because the required power changes with density. For example, a fluid with SG 1.2 needs more power than water for the same flow rate and head.

Is water horsepower the same as pump brake horsepower?+

No, water horsepower is the ideal hydraulic power delivered to the fluid. Brake horsepower is the actual power the pump shaft must supply, so it is higher because it includes losses and efficiency.

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