How to Calculate and Solve for Number of Revolutions per Minute and Angular Velocity of Motion of Circular Path | The Calculator Encyclopedia

To calculate the angular velocity, one essential parameter is needed and its parameter is Number of Revolutions per Minute (N).

The formula for calculating angular velocity:

ω = ^2πN / ₆₀

Where;
ω = Angular velocity
N = Number of revolutions per minute

Let’s solve an example;
Find the Angular Velocity with a number of revolutions per minute as 60.

This implies that;
N = Number of revolutions per minute = 60

ω = ^2πN / ₆₀
ω = ^{2 x π x 24} / ₆₀
So, ω = ^150.816/ ₆₀
ω = 2.5136

Therefore, the angular velocity is 2.5136 rad/s.

Calculating the Number of Revolutions per Minute when Angular Velocity is Given

N = ^ω60 / _2π

Where;
N = Number of revolutions per minute
ω = Angular velocity

Let’s solve an example;
With an angular velocity of 40. Find the number of revolutions per minute?

This implies that;
ω = Angular velocity = 40

N = ^ω60 / _2π
N = ^{40 x 60} / _6.284
Then, N = ²⁴⁰⁰ / _6.284
N = 381.9

Therefore, the number of revolutions per minute is 381.9 min.

Read more: How to Calculate and Solve for Angular Velocity | Motion

How to Calculate Angular Velocity of Motion of Circular Path With The Calculator Encyclopedia

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the angular velocity.

To get the answer and workings of the angular force 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 Mechanics under Engineering

Now, Click on Motion of Circular Path under Mechanics

Click on Angular Velocity under Motion of Circular Path

The screenshot below displays the page or activity to enter your value, to get the answer for the angular velocity according to the respective parameter which are the Number of revolutions per minute (N).

Now, enter the value appropriately and accordingly for the parameter as required by the Number of revolutions per minute (N) is 24.

Finally, Click on Calculate

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