# Centrifugal Force Calculator

Write values of mass, velocity, & radius in the given tabs and press the calculate button to find the centrifugal force.

Formula F = mv²r

## Centrifugal Force Calculator:

Centrifugal force calculator is a tool that is used to find the total centrifugal force acting on the rotating body by using the values of velocity, mass, and radius.

## What is the Centrifugal Force?

It is an inertia force that arises in each rotating body and always acts in the outward direction from the center of rotation. The center of rotation is the point around which the object is rotated and it’s a fixed point that remains in the same place in the movement of an object around it.

## Formula of Centrifugal Force

The mathematical formula of the centrifugal force is like the centripetal force in terms of mass, velocity, and radius which can be derived as,

F = m ω2 r ---------------- (i)

Where, ω = angular velocity of the body

ω = v/r

Put the value of “ω” in eq (i).

F = m (v/r)2 r

F = mv²/r

Where,

• F = shows the centrifugal force and its unit is “Newton”
• m = shows the mass of the object
• v = shows the velocity of an object
• r = radius of the moving path of an object in a circle.

## How to calculate the centrifugal force?

Below are a few examples to understand how to calculate centrifugal force manually.

Examples 1:

Find the centrifugal force if the body rotates in a circle at a radius of 5 m with a speed of 20 m/s and its mass is 0.5 kg.

Solution:

Step 1: Write the value of the velocity, mass, and radius of the circle.

m = 0.5 kg,                                           v = 20 m/s

r = 5 m,                                                   F =?

Step 2: Put the values in the centrifugal formula and after simplification get the required results.

F = mv²/r

= (0.5) (20)²/5

= (0.5) (400)/5

= 200/5

F = 40 N

Examples 2:

Calculate the centrifugal force if the coin rotates in a circle at a radius of 4 m with a speed of 0.75 m/s and its mass is 0.2 kg.

Solution:

Step 1: Write the value of the velocity, mass, and radius of the circle.

m = 0.2 kg,                                           v = 0.75 m/s

r = 4 m,                                                   F =?

Step 2: Put the values in the centrifugal formula and after simplification get the required results.

F = mv²/r

= (0.2) (0.75)²/4

= (0.2) (0.5625)/4

= 0.1125/4

F = 0.028125 N