The image above represents centripetal acceleration in a motion of circular path.

To compute for the centripetal acceleration, two essential parameters are needed and these parameters are **angular velocity (ω) **and **radius of circular path (r).**

The formula for the calculating centripetal acceleration:

a = ω²r

Where:

a = Centripetal Acceleration

ω = Angular Velocity

r = Radius of Circular Path

Let’s solve an example;

Find the centripetal acceleration with an angular velocity of 33 and a radius of 21.

This implies that;

ω = Angular Velocity = 33

r = Radius of Circular Path = 21

a = ω²r

a = 33² x 21

a = 1089 x 21

a = 22869

Therefore, the **centripetal acceleration** is **22869 m/s².**

**Calculating the Angular Velocity when Centripetal Acceleration and Radius of Circular path is Given.**

ω = √^{a} / _{r}

Where:

ω = Angular Velocity

a = Centripetal Acceleration

r = Radius of Circular Path

Let’s solve an example;

Find the angular velocity with a centripetal acceleration of 320 and a radius of 8.

This implies that;

a = Centripetal Acceleration = 320

r = Radius of Circular Path = 8

ω = √^{a} / _{r}

ω = √^{320} / _{8}

ω = √40

ω = 6.32

Therefore, the **angular velocity** is **6.32.**

**Calculating the Radius of Circular path when Centripetal Acceleration and Angular Velocity is Given.**

r = ^{a} / _{ω2}

Where:

r = Radius of Circular Path

a = Centripetal Acceleration

ω = Angular Velocity

Let’s solve an example;

Find the radius with a centripetal acceleration of 450 and an angular velocity of 15.

This implies that;

a = Centripetal Acceleration = 450

ω = Angular Velocity = 15

r = ^{a} / _{ω2}

r = ^{450} / _{152}

r = ^{450} / _{225}

r = 2

Therefore, the **radius** is **2.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the centripetal acceleration.

To get the answer and workings of the centripetal acceleration 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 **Centripetal Acceleration**** **under **Motion of Circular Path**

The screenshot below displays the page or activity to enter your value, to get the answer for the centripetal acceleration according to the respective parameter which are the **angular velocity (ω) **and **radius of circular path (r).**

Now, enter the value appropriately and accordingly for the parameter as required by the **angular velocity (ω) **is **33 **and **radius of circular path (r)** is **21**.

Finally, Click on Calculate

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