Enter the volume of water (m^3) and the height of water (m) into the calculator to determine the Hydro Potential Energy.

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## Hydro Potential Energy Formula

The following equation is used to calculate the Hydro Potential Energy.

PEh = (V*d)*g*h

Variables:

- Where PEh is the Hydro Potential Energy (Joules)
- V is the volume of water (m^3)
- h is the height of water (m)
- d is the density of water (997 kg/m^3)
- g is the acceleration due to gravity ( 9.81m/s^2)

To calculate the potential energy of water, multiply the volume, density, and water height together, then multiply by the acceleration due to gravity.

## How to Calculate Hydro Potential Energy?

The following two example problems outline the steps and information needed in order to calculate the Hydro Potential Energy.

**Example Problem #1:**

- First, determine the volume of water (m^3). In this example, the volume of water (m^3) is measured to be 50.
- Next, determine the height of water (m). For this problem, the height of water (m) is calculated to be 4124.
- Finally, calculate the Hydro Potential Energy using the formula above:

PEh = (V*d)*g*h

Inserting the values from above and solving the equation with the imputed values gives:

PEh = (50*997)*9.81*4124 = 2016753534 (Joules)

**Example Problem #2: **

Using the same process as example problem 1, we first define the needed variables outlined by the formula. In this case, the values are provide as:

volume of water (m^3) = 40

height of water (m) = 310

Entering these values into the formula or calculator above gives us:

PEh = (40*997)*9.81*310 = 121279068** **(Joules)