In this centrifugal force guide, we will show you how to calculate centrifugal force in just a few seconds.
We will also help you understand what centrifugal force is, and explain the formulas for both tangential and angular velocity while we’re at it.
What is centrifugal force?
How does it affect objects moving in a circle?
How to calculate it using real-world examples? Find all the answers here!
Centrifugal Force Calculator
Choose calculation type and enter values. Angular input accepts rev/s or RPM.
Centrifugal Force Formula
The centrifugal force is the apparent force that pushes an object outward when it is moving in a circular path. The formulas are:
- Tangential Velocity Formula: F = m × v² / r, where m = mass (kg), v = tangential velocity (m/s), r = radius (m).
- Angular Velocity Formula: F = m × ω² × r, where ω = angular velocity (rad/s).
Real-World Applications
Rotating Amusement Rides
Centrifugal force keeps riders pressed against the walls of rides like the Gravitron or merry-go-rounds.
Vehicle Turns
When cars take sharp turns, centrifugal force affects passengers, influencing road design and tire grip.
Space Stations
Rotating sections create artificial gravity through centrifugal force for astronauts.
Example Problem: Step-by-Step
Problem: A 2 kg object is tied to a string and spun in a horizontal circle of radius 1.5 m at a tangential speed of 3 m/s. Calculate the centrifugal force.
Step 1: Identify the formula
We use the tangential velocity formula: F = m × v² / r
Step 2: Substitute values
m = 2 kg, v = 3 m/s, r = 1.5 m
F = 2 × 3² / 1.5
Step 3: Calculate
F = 2 × 9 / 1.5 = 18 / 1.5 = 12 N
Centrifugal Force Reference Table
| Quantity | Symbol | Unit | Description |
|---|---|---|---|
| Centrifugal Force | F | N (Newton) | The outward force experienced by a body moving in a circular path. |
| Mass | m | kg | The mass of the rotating object. |
| Tangential Velocity | v | m/s | The linear speed along the circular path. |
| Radius | r | m | Distance from the center of rotation to the object. |
| Angular Velocity | ω | rad/s | Rate of rotation of the object around the center. |
Note: Use F = m × v² / r for tangential velocity or F = m × ω² × r for angular velocity calculations.
FAQs
Why is centrifugal force important?
Because it helps us understand how objects behave in circular motion. From cars taking sharp turns to rides spinning, or even space stations creating artificial gravity
Can this calculator be used for any rotating object?
Yes! As long as the object moves in a circular path, you can quickly find the centrifugal force using this calculator.