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

The formula for calculating angular velocity:

Ï‰ = âˆš(^{k} / _{m})

Where;

Ï‰ = 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

Ï‰ = âˆš(^{k} / _{m})

So, Ï‰ = âˆš(^{28} / _{11})

Ï‰ = âˆš(2.54)

Ï‰ = 1.59

Therefore, theÂ **angular velocityÂ **isÂ **1.59 rad/s.**

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

k = Ï‰^{2}m

Where;

k = Elastic Constant

Ï‰ = Angular Velocity

m = Mass

Let’s solve an example;

Find the elastic constant when the angular velocity is 12 and the mass is 8.

### Master Every Calculation Instantly

Unlock solutions for every math, physics, engineering, and chemistry problem with step-by-step clarity. No internet required. Just knowledge at your fingertips, anytime, anywhere.

This implies that;

Ï‰ = Angular Velocity = 12

m = Mass = 8

k = Ï‰^{2}m

Then, k = 12^{2}8

k = 144 x 8

k = 1152

Therefore, theÂ **elastic constantÂ **isÂ **1152.**

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

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

m = ^{k} / _{Ï‰2}

Where;

m = Mass

Ï‰ = 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;

Ï‰ = Angular Velocity = 32

k = Elastic Constant = 10

m = ^{k} / _{Ï‰2}

So, m = ^{10} / _{322}

m = ^{10} / _{1024}

m = 0.009

Therefore, theÂ **massÂ **isÂ **0.009.**

**How to Calculate and Solve for Angular Velocity Using Nickzom Calculator**

Nickzom Calculator â€“Â **The Calculator Encyclopedia**Â is capable of calculating the angular velocity.

To get the answer and workings of the angular velocity using theÂ **Nickzom Calculator â€“ The Calculator Encyclopedia.Â **First, you need to obtain the app.

You can get this app via any of these means:

**Web**Â â€“Â https://www.nickzom.org/calculator-plus

To get access to theÂ **professionalÂ **version via web, you need toÂ **register**Â andÂ **subscribeÂ **for**Â NGN 1,500Â **per**Â annum**Â to have utter access to all functionalities.

You can also try theÂ **demoÂ **version viaÂ https://www.nickzom.org/calculator

**Android (Paid)**Â â€“Â https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)**Â â€“Â https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)**Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to theÂ **Calculator Map,Â **then click onÂ **Motion****Â **underÂ **Physics****.**

Now, Click onÂ **Angular Velocity****Â **underÂ **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 theÂ **mass (m)Â **andÂ **elastic constant (k).**

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

Finally, Click on Calculate

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