# Centripetal Acceleration Calculator

If you want to find an acceleration of an object which tends to move in a circular path ( around its axis), then you can use our centripetal acceleration calculator.

Before describing the centripetal acceleration, let us know what the **acceleration **is? It is defined as a **change in velocity** (final velocity - initial velocity) **over a specific time**. Now we can explain **centripetal acceleration** as the **property of an object moving in a circular path**. When a thing moves around its axis, it has a vector acceleration that leads to the circle's center. The unit used to represent centripetal acceleration is m/s^{2}.

**Table of Contents**

## Formula of Centripetal Acceleration Calculator

To determine how to find the centripetal acceleration, you can use the formula listed below; or to evaluate your query instantly, jump to our free online calculator.

a_{c}= v^{2}/r

**Where,**

a_{c} = centripetal acceleration

v = velocity of an object (measured in m/s).

r = radius (measured in meters m).

**Note:**

To calculate centripetal force, you can use our Centripetal Force Calculator.

### Example

For a more precise understanding of the concept of centripetal acceleration, let us have an example below:

Suppose a car is moving in a circular path with a velocity of 10m/s, whereas the radius of a path is 10m. Find out the centripetal acceleration of a moving object.

**Given data**

Velocity = v = 10 m/s

Radius = r = 10m

**To Find**

The centripetal acceleration of a car = ?

**Solution**

To find out the centripetal acceleration of a car, we will use the formula listed below:

a_{c}= v^{2}/r

Putting values in the formula:

a_{c}= (10m/s)^{2}/10m = (100m^{2}/s^{2}) / 10m

a_{c}= 10 m/s^{2}

### How to use the Centripetal Acceleration Calculator?

The steps to use the centripetal acceleration calculator are as follows:

**Step 1: **Enter the value of an object's velocity in the first required input.

**Step 2: **Enter the value of the radius in the second required input.

**Step 3: **The calculator will automatically display an answer on the screen.

### Calculator use

You can use our centripetal acceleration calculator in various physics principles, such as finding the acceleration of the revolution of planets around the Sun, using a liquid mirror telescope, etc.