How to Calculate and Solve for Angular Velocity | Motion

November 29, 2019March 28, 2024 Loveth Idoko

Last Updated on March 28, 2024

The image above represents angular velocity. To calculate angular velocity, two essential parameters are needed and these parameters are mass (m) and elastic constant (k).

The formula for calculating angular velocity:

ω = √(^k / _m)

Where;

ω = Angular Velocity
k = Elastic Constant
m = Mass

Let’s solve an example;
Find the angular velocity when the mass is 11 and the elastic constant is 28.

This implies that;

k = Elastic Constant = 28
jm = Mass = 11

ω = √(^k / _m)
So, ω = √(²⁸ / ₁₁)
ω = √(2.54)
ω = 1.59

Therefore, the angular velocity is 1.59 rad/s.

Calculating the Elastic Constant when the Angular Velocity and the Mass are Given

k = ω²m

Where;

k = Elastic Constant
ω = Angular Velocity
m = Mass

Let’s solve an example;
Find the elastic constant when the angular velocity is 12 and the mass is 8.

This implies that;

ω = Angular Velocity = 12
m = Mass = 8

k = ω²m
Then, k = 12²8
k = 144 x 8
k = 1152

Therefore, the elastic constant is 1152.

Calculating the Mass when the Angular Velocity and the Elastic Constant are Given

m = ^k / _ω²

Where;

m = Mass
ω = Angular Velocity
k = Elastic Constant

Let’s solve an example;
Given that the angular velocity is 32 and the elastic constant is 10. Find the mass?

This implies that;

ω = Angular Velocity = 32
k = Elastic Constant = 10

m = ^k / _ω²
So, m = ¹⁰ / _32²
m = ¹⁰ / ₁₀₂₄
m = 0.009

Therefore, the mass is 0.009.

How to Calculate and Solve for Angular Velocity Using Nickzom Calculator

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

To get the answer and workings of the angular velocity 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 Motion under Physics.

Now, Click on Angular Velocity under Motion

The screenshot below displays the page or activity to enter your values, to get the answer for the angular velocity according to the respective parameters which are the mass (m) and elastic constant (k).

Now, enter the values appropriately and accordingly for the parameters as required by the mass (m) is 11 and elastic constant (k) is 28.

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.