# How to Calculate and Solve for Mass, Angular Velocity, Radius and Centrifugal Force of a Body | The Calculator Encyclopedia

**Last Updated on February 18, 2024**

The image above represents the centrifugal force. To calculate the centrifugal force, three essential parameters are needed and these parameters are the **Mass of the body (m)**, the **Angular Velocity of the body ( w),** and

**Radius (r).**

The formula for calculating the centrifugal force:

F = mω²r

Where:

F = Centrifugal Force

m = mass of the body

ω = angular velocity

r = radius

Let’s solve an example;

Find the centrifugal force with mass of the body as 12, angular velocity as 32 and a radius of 8.

This implies that;

m = mass of the body = 12

ω = angular velocity = 32

r = radius = 8

F = mω²r

F = 12 x 32² x 8

Then, F = 12 x 1024 x 8

F = 98304

Therefore, the **centrifugal** **force** is **98304** **N**.

**Calculating the Mass of the body (m) when the Centrifugal Force, Angular Velocity and Radius are Given**

m = ^{F} / _{w2r}

Where;

m = mass of the body

F = Centrifugal Force

ω = angular velocity

r = radius

Let’s solve an example;

Find the mass of a body when centrifugal force is 140 with an angular velocity of 24 and a radius of 10.

This implies that;

F = Centrifugal Force = 140

ω = angular velocity = 24

r = radius = 10

m = ^{F} / _{w2r}

m = ^{140} / _{24210}

So, m = ^{140} / _{576 x 10}

m = ^{140} / _{5760}

m = 0.024

Therefore, the **mass of the body** is **0.024 kg.**

**Calculating the Angular Velocity (***w*) when the Centrifugal Force, Mass of the body (m) and Radius are Given

*w*) when the Centrifugal Force, Mass of the body (m) and Radius are Given

*w* = √^{F} / _{mr}

Where;

ω = angular velocity

m = mass of the body

F = Centrifugal Force

r = radius

Let’s solve an example;

Find the angular velocity when centrifugal force is 220 with a mass of the body of 14 and a radius of 6.

This implies that;

F = Centrifugal Force = 220

m = mass of the body = 14

r = radius = 6

*w* = √^{F} / _{mr}

*w* = √^{220} / _{14 x 6}

So, w = √^{220} / _{84}

*w* = √2.619

*w* = 1.618

Therefore, the **angular velocity** is **1.618.**

**Calculating the Radius (r) when the Centrifugal Force, Mass of the body (m) and Angular Velocity are Given**

r = ^{F} / _{mw2}

Where;

r = radius

F = Centrifugal Force

ω = angular velocity

m = mass of the body

Let’s solve an example;

Find the radius with a centrifugal force of 280, mass of the body is 16, and an angular velocity of 22.

This implies that;

F = Centrifugal Force = 280

ω = angular velocity = 22

m = mass of the body = 16

r = ^{F} / _{mw2}

r = ^{280} / _{16 x 222}

Then, r = ^{280} / _{16 x 44}

r = ^{280} / _{704}

r = 0.397

Therefore, the **radius** is **0.397.**

Read more: The Calculator For Mechanical Engineers

**How to Calculate Centrifugal Force of a Body Using The Calculator Encyclopedia**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the centrifugal force.

To get the answer and workings of the centrifugal 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 **Centrifugal Force **under **Motion of Circular Path**

The screenshot below displays the page or activity to enter your values, to get the answer for the centrifugal force according to the respective parameters which are the **mass of the body (m), ****angular ****velocity (v) **and **radius (r).**

Now, enter the values appropriately and accordingly for the parameters as required by the **mass of the body (m)** is **12**, **angular ****velocity (v) **is **32 **and **radius (r)** is **8**.

Finally, Click on Calculate

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