How to Calculate and Solve for Displacement Volume | Irrigation Water Requirement

October 2, 2020April 20, 2024 Loveth Idoko

Last Updated on April 20, 2024

The image above represents displacement volume. Three essential parameters are needed to calculate displacement volume: the area of the piston (A), length of the piston (L), and Number of piston strokes per minute (n).

The formula for calculating displacement volume:

VD = ALn

Where:

VD = Displacement Volume
A = Area of Piston
L = Length of Piston
n = No of Piston Stroke per Minute

Let’s solve an example;
Find the displacement volume when the area of piston is 12, the length of piston is 6 and the no of piston stroke per minute is 10.

This implies that;

A = Area of Piston = 12
L = Length of Piston = 6
n = No of Piston Stroke per Minute = 10

VD = ALn
That is, VD = (12)(6)(10)
VD = 720

Therefore, the displacement volume is 720.

Calculating for the Area of Piston when the Displacement Volume, the Length of Piston and the No of Piston Stroke per Minute are Given

A = ^VD/ _Ln

Where;

A = Area of Piston
VD = Displacement Volume
L = Length of Piston
n = No of Piston Stroke per Minute

Let’s solve an example;
Find the area of piston when the displacement volume is 42, the length of piston is 3 and the no of piston per minute is 2.

This implies that;

VD = Displacement Volume = 42
L = Length of Piston = 3
n = No of Piston Stroke per Minute = 2

A = ^VD/ _Ln
Then, A = ⁴²/ _{3 x 2}
A = ⁴²/ ₆
A = 7

Therefore, the area of piston is 7.

Calculating the Length of the Piston when the Displacement Volume, the Area of the Piston, and the No of Piston Strokes per Minute are Given

L = ^VD/ _An

Where;

L = Length of Piston
VD = Displacement Volume
A = Area of Piston
n = No of Piston Stroke per Minute

Let’s solve an example;
Find the Length of Piston when the displacement volume is 85, the area of piston is 5 and the no of piston stroke per minute is 3.

This implies that;

VD = Displacement Volume = 85
A = Area of Piston = 5
n = No of Piston Stroke per Minute = 3

L = ^VD/ _An
So, L = ⁸⁵/ _{5 x 3}
L = ⁸⁵/ ₁₅
L = 5.6

Therefore, the length of piston is 5.6.

Calculating for the No of Piston Stroke per Minute when the Displacement Volume, the Length of Piston and the Area of Piston are Given

n = ^VD/ _AL

Where;

n = No of Piston Stroke per Minute
VD = Displacement Volume
A = Area of Piston
L = Length of Piston

Let’s solve an example;
Find the no of piston stroke per minute when the displacement volume is 28, the area of piston is 2 and the length of piston is 2.

This implies that;

VD = Displacement Volume = 28
A = Area of Piston = 2
L = Length of Piston = 2

n = ^VD/ _AL
So, n = ²⁸/ _{2 x 2}
n = ²⁸/ ₄
n = 7

Therefore, the no of piston strokes per minute is 7.

How to Calculate Displacement Volume Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the displacement volume.

To get the answer and workings of the displacement volume 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 2,000 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 Irrigation Water Requirement under Agricultural

Now, Click on Displacement Volume under Irrigation Water Requirement

The screenshot below displays the page or activity to enter your values, to get the answer for the displacement volume according to the respective parameters which is the Area of Piston (A), Length of Piston (L) and No of Piston Stroke per Minute (n).

Now, enter the values appropriately and accordingly for the parameters as required by the Area of Piston (A) is 12, Length of Piston (L) is 6 and No of Piston Stroke per Minute (n) is 10.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the displacement volume and presents the formula, workings and steps too.