The image above represents the hydrostatic pressure of a dam. To solve the hydrostatic pressure of a dam, two essential parameters are needed, and these parameters are Specific Weight of Water (γ) and Depth of water (h).
The formula for calculating hydrostatic pressure of a dam:
Hn = γh² / 2
Where:
Hn = Hydrostatic Pressure of a Dam
γ = Specific Weight of Water
h = Depth of Water
Let’s solve an example;
Find the hydrostatic pressure of a dam when the specific weight of water is 10 and the depth of water is 5.
This implies that;
γ = Specific Weight of Water = 10
h = Depth of Water = 5
This means, Hn = γh² / 2
Hn = (10)(5)² / 2
That is, Hn = 10(25) / 2
Hn = 250 / 2
Hn = 125
Therefore, the hydrostatic pressure of the dam is 125.
Calculating the Specific Weight of Water when the Hydrostatic Pressure of the Dam and the Depth of Water are Given
γ = Hn x 2 / h2
Where;
γ = Specific Weight of Water
Hn = Hydrostatic Pressure of a Dam
h = Depth of Water
Let’s solve an example;
Find the specific weight of water when the hydrostatic pressure of a dam is 30 and the depth of water is 6.
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This implies that;
Hn = Hydrostatic Pressure of a Dam = 30
h = Depth of Water = 6
γ = Hn x 2 / h2
Then, γ = 30 x 2 / 62
γ = 60 / 36
γ = 1.667
Therefore, the specific weight of water is 1.667.
Read more:Â How to Calculate and Solve for Entrance Velocity | Darcy’s Law | Water Budget
Calculating the Depth of Water when the Hydrostatic Pressure of the Dam and the Specific Weight of Water are Given
h = √Hn x 2 / γ
Where;
h = Depth of Water
Hn = Hydrostatic Pressure of a Dam
γ = Specific Weight of Water
Let’s solve an example;
Find the depth of water when the hydrostatic pressure of a dam is 12 and the specific weight of water is 4.
This implies that;
Hn = Hydrostatic Pressure of a Dam = 12
γ = Specific Weight of Water = 4
h = √Hn x 2 / γ
h = √12 x 2 / 4
So, h = √24 / 4
h = √6
h = 2.449
Therefore, the depth of water is 2.449.
Read more:Â How to Calculate and Solve for Discharge | Chez’s Equation | Water Budget
How to Calculate and Solve for Hydrostatic Pressure of a Dam Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the depth of water.
To get the answer and workings of the depth of water using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Agricultural under Engineering.
Now, Click on Water Budget under Agricultural
Now, Click on Hydrostatic Pressure of a Dam under Water Budget
The screenshot below displays the page or activity to enter your values, to get the answer for the hydrostatic pressure of a dam according to the respective parameters which are the Specific Weight of Water (γ) and Depth of water (h).
Now, enter the values appropriately and accordingly for the parameters as required by the Specific Weight of Water (γ) is 10 and Depth of water (h) is 5.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the hydrostatic pressure of a dam and presents the formula, workings and steps too.
