WHP (Water Horsepower) Calculator

Are you interested in calculating the power of your water flow? The Water Horsepower Calculator is the perfect tool for you! This calculator is designed to help you determine the amount of power that can be generated by a water flow system, providing you with detailed and accurate calculations in just a few clicks. Whether you're a professional engineer or a DIY enthusiast, this calculator is accessible and user-friendly for anyone looking to harness the power of water. With the Water Horsepower Calculator, you can easily estimate the horsepower of your water flow and make informed decisions about your hydroelectric projects or water-powered machinery. Let's dive in and explore the incredible potential of water power!

WHP Calculator

Calculate the water horsepower required to generate a certain amount of power

Enter efficiency as a percentage (0-100)
WHP Calculator Results
Flow Rate0
Pump Type0
Impeller Diameter0
Gear Ratio0
Water Horsepower0
Brake Horsepower0
Motor Horsepower0

To understand the power output of engines, the whp water horsepower calculator is a useful tool. It complements our wheel horsepower calculator, allowing you to explore engine performance thoroughly.

How to Use the WHP Calculator

The WHP Calculator is a powerful tool designed to calculate the water horsepower required to generate a certain amount of power. It is commonly used in engineering and fluid mechanics to determine the necessary water horsepower for various applications such as pumps and motors. This calculator enables users to make informed decisions regarding power generation and equipment selection.

Instructions for Utilizing the Calculator

To effectively utilize the WHP Calculator, follow these steps:

  1. Flow Rate: Enter the flow rate in gallons per minute (gpm). This represents the volume of water flowing through the system per minute.
  2. Head: Specify the head in feet. Head refers to the height or pressure difference between the water source and the point of discharge.
  3. Efficiency: Input the efficiency as a percentage. Efficiency represents the effectiveness of the system in converting input energy to useful work. Enter a value between 0 and 100.
  4. Density: Enter the density of the water in pounds per cubic foot (lbm/ft³). Density represents the mass per unit volume of the water.
  5. Pump Type: Select the appropriate pump type from the available options: centrifugal or positive displacement. This choice depends on the specific characteristics and requirements of the system.

a. For centrifugal pumps:

    • Impeller Diameter: If using a centrifugal pump, enter the impeller diameter in inches (in). The impeller is a key component responsible for fluid circulation.

b. For positive displacement pumps:

    • Gear Ratio: If using a positive displacement pump, input the gear ratio. The gear ratio represents the relationship between the sizes of the driving and driven gears.

After entering the required values, click the Calculate WHP button to initiate the calculation. The calculator will determine the water horsepower, brake horsepower, and motor horsepower based on the provided input.

WHP Calculator Formula

The WHP Calculator employs the following formulas to calculate the respective values:

Water Horsepower = (Flow Rate × Head) / (3960 × Efficiency × (Impeller Diameter<sup>4</sup>)) (for centrifugal pumps)

Water Horsepower = (Flow Rate × Head × Density × 62.4 × Gear Ratio) / 550 (for positive displacement pumps)

Brake Horsepower = Water Horsepower / Efficiency

Motor Horsepower = Brake Horsepower / 0.85

These formulas enable the calculator to determine the water horsepower, brake horsepower, and motor horsepower based on the given input parameters.

Illustrative Example

Let's consider an example to illustrate how the WHP Calculator works. Suppose we have a centrifugal pump with the following specifications:

  • Flow Rate: 500 gpm
  • Head: 100 ft
  • Efficiency: 85%
  • Density: 62.4 lbm/ft³
  • Impeller Diameter: 10 inches

After entering these values into the calculator, it will provide the following results:

  • Flow Rate: 500 gpm
  • Head: 100 ft
  • Efficiency: 85%
  • Density: 62.4 lbm/ft³
  • Pump Type: CENTRIFUGAL
  • Impeller Diameter: 10 in
  • Water Horsepower: 4.65
  • Brake Horsepower: 5.47
  • Motor Horsepower: 6.43

Based on the given parameters, the WHP Calculator determines that the water horsepower required is 4.65, resulting in a brake horsepower of 5.47 and a motor horsepower of 6.43.

Illustrative Table Example

Here is a table showcasing multiple rows of example data and their corresponding results obtained from the WHP Calculator:

Flow Rate




Pump Type

Impeller Diameter

Gear Ratio

Water Horsepower

Brake Horsepower

Motor Horsepower

500 gpm100 ft85%62.4 lbm/ft³CENTRIFUGAL10 in-4.655.476.43
800 gpm150 ft90%61.2 lbm/ft³CENTRIFUGAL12 in-7.568.9010.47
1000 gpm200 ft80%60.8 lbm/ft³POSITIVE DISPLACEMENT-

This table demonstrates how the WHP Calculator handles different combinations of input values, providing the corresponding water horsepower, brake horsepower, and motor horsepower.

The WHP Calculator is a valuable tool for engineers, fluid mechanics professionals, and individuals involved in power generation applications. By utilizing this calculator, you can accurately determine the water horsepower required to generate a certain amount of power. Additionally, the calculator provides insights into brake horsepower and motor horsepower, aiding in equipment selection and power system design.

About the Author

Author Image

Aariz Ahmed

Aariz Ahmed is a Physiologist with a passion for understanding how the human body functions. With a strong background in biology and a focus on human physiology, he is dedicated to promoting health and wellness through scientific research. Aariz has a keen interest in exploring the intersection of health and technology, and how data can be used to improve our understanding of the human body. His expertise in physiology has contributed to the development of numerous health and wellness programs, and he is a recognized expert in his field.