How to Calculate and Solve for Horse Power | Irrigation Water Requirement

October 2, 2020April 20, 2024 Loveth Idoko

Last Updated on April 20, 2024

The image above represents horse power. To calculate horse power, four essential parameters are needed, and these parameters are Indicated Mean Effective Pressure (P), Piston Stroke (L), Piston Area (A) and Total Number of Power Strokes per Minute for all Cylinders (n).

The formula for calculating horse power:

HP = ^{P . L . A . n} / ₄₅₀₀

Where:

HP = Horse Power
P = Indicated Mean Effective Pressure
L = Piston Stroke
A = Piston Area
n = Total Number of Power Strokes per Minute for all Cylinders

Let’s solve an example;
Find the horse power when the indicated mean effective pressure is 10, the piston stroke is 8, the piston area is 11 and the total number of power strokes per minute for all cylinders is 16.

This implies that;

P = Indicated Mean Effective Pressure = 10
L = Piston Stroke = 8
A = Piston Area = 11
n = Total Number of Power Strokes per Minute for all Cylinders = 16

HP = ^{P . L . A . n} / ₄₅₀₀
That is, HP = ^{(10) . (8) . (11) . (16)} / ₄₅₀₀
HP = ¹⁴⁰⁸⁰ / ₄₅₀₀
HP = 3.128

Therefore, the horse power is 3.128.

Calculating the Indicated Mean Effective Pressure when the Horse Power, the Piston Stroke, the Piston Area and the Total Number of Power Strokes per Minute for all Cylinders are Given

P = ^{HP x 4500} / _{L . A . n}

Where;

P = Indicated Mean Effective Pressure
HP = Horse Power
L = Piston Stroke
A = Piston Area
n = Total Number of Power Strokes per Minute for all Cylinders

Let’s solve an example;
Find the indicated mean effective power when the horse power is 2, the piston stroke is 12, the piston area is 4 and the total number of power strokes per minute for all cylinders is 3.

This implies that;

HP = Horse Power = 2
L = Piston Stroke =12
A = Piston Area = 4
n = Total Number of Power Strokes per Minute for all Cylinders =3

P = ^{HP x 4500} / _{L . A . n}
So, P = ^{2 x 4500} / _{12 . 4 . 3}
P = ⁹⁰⁰⁰ / ₁₄₄
P = 62.5

Therefore, the indicated mean effective pressure is 62.5.

Calculating the Piston Stroke when the Horse Power, the Indicated Mean Effective Pressure, the Piston Area and the Total Number of Power Strokes per Minute for all Cylinders are Given

L = ^{HP x 4500} / _{P . A . n}

Where;

L = Piston Stroke
HP = Horse Power
P = Indicated Mean Effective Pressure
A = Piston Area
n = Total Number of Power Strokes per Minute for all Cylinders

Let’s solve an example;
Find the piston stroke when the horse power is 3, the indicated mean effective pressure is 6, the piston area is 2 and the total number of power strokes per minute for all cylinders is 8.

This implies that;

HP = Horse Power = 3
P = Indicated Mean Effective Pressure = 6
A = Piston Area = 2
n = Total Number of Power Strokes per Minute for all Cylinders = 8

L = ^{HP x 4500} / _{P . A . n}
L = ^{3 x 4500} / _{6 . 2 . 8}
This means, L = ¹³⁵⁰⁰ / ₉₆
L = 140.6

Therefore, the piston stroke is 140.6.

Calculating the Piston Area when the Horse Power, the Indicated Mean Effective Pressure, the Piston Stroke and the Total Number of Power Strokes per Minute for all Cylinders are Given

A = ^{HP x 4500} / _{P . L . n}

Where;

A = Piston Area
HP = Horse Power
P = Indicated Mean Effective Pressure
L = Piston Stroke
n = Total Number of Power Strokes per Minute for all Cylinders

Let’s solve an example;
Find the piston area when the horse power is 4, the indicated mean effective pressure is 5, the piston stroke is 10 and the total number of power strokes per minute for all cylinders is 2.

This implies that;

HP = Horse Power =4
P = Indicated Mean Effective Pressure = 5
L = Piston Stroke = 10
n = Total Number of Power Strokes per Minute for all Cylinders = 2

A = ^{HP x 4500} / _{P . L . n}
A = ^{4 x 4500} / _{5 . 10 . 2}
So, A = ¹⁸⁰⁰⁰ / ₁₀₀
A = 180

Therefore, the piston area is 180.

Calculating the the Total Number of Power Strokes per Minute for all Cylinders when the Horse Power, the Indicated Mean Effective Pressure, the Piston Stroke and Piston Area are Given

n = ^{HP x 4500} / _{P . L . A}

Where;

n = Total Number of Power Strokes per Minute for all Cylinders
HP = Horse Power
P = Indicated Mean Effective Pressure
L = Piston Stroke
A = Piston Area

Let’s solve an example;
Find the total number of power strokes per minute for all cylinders when the horse power is 5, the indicated mean effective pressure is 22, the piston stroke is 4 and the piston area is 6.

This implies that;

HP = Horse Power = 5
P = Indicated Mean Effective Pressure = 22
L = Piston Stroke = 4
A = Piston Area = 6

n = ^{HP x 4500} / _{P . L . A}
So, n = ^{5 x 4500} / _{22 . 4 . 6}
n = ²²⁵⁰⁰ / ₅₂₈
n = 42.61

Therefore, the total number of power strokes per minute for all cylinders is 42.61.

How to Calculate Horse Power Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the horse power.

To get the answer and workings of the horse power 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 Horse Power under Irrigation Water Requirement

The screenshot below displays the page or activity to enter your values, to get the answer for the horse power according to the respective parameters which is the Indicated Mean Effective Pressure (P), Piston Stroke (L), Piston Area (A) and Total Number of Power Strokes per Minute for all Cylinders (n).

Now, enter the values appropriately and accordingly for the parameters as required by the Indicated Mean Effective Pressure (P) is 10, Piston Stroke (L) is 8, Piston Area (A) is 11 and Total Number of Power Strokes per Minute for all Cylinders (n) is 16.

Finally, Click on Calculate

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