Centripetal Force Calculator

I want to calculate
Mass (m) = kg
Radius (r) = m
Velocity (v) = m/s
Centriptal force (f) = N
 

What is a Centripetal Force Calculator?

A Centripetal Force Calculator is a tool used to determine the force required to keep an object moving in a circular path. This force acts toward the center of the circle and prevents the object from flying outward due to inertia.

Why Use This Calculator?

  • To analyze motion in circular tracks (e.g., vehicles on curved roads, roller coasters, planets in orbit).
  • To determine the forces needed for safe turns in engineering, aviation, and sports.
  • To study rotational dynamics in physics and mechanical systems.

How Does It Work?

Centripetal Force (Fc) is calculated using the formula:

or using angular velocity:

Where:

  • Fc​ = Centripetal Force (Newtons, N)
  • m= Mass of the object (kg)
  • v = Linear speed of the object (m/s)
  • r = Radius of the circular path (m)
  • ω = Angular velocity (rad/s)

The calculator can solve for:

When is This Calculator Used?

  • Vehicle Dynamics: Calculating safe speeds for cars on curved roads.
  • Roller Coasters & Amusement Rides: Ensuring riders experience safe forces.
  • Astronomy & Orbital Mechanics: Understanding gravitational forces on planets and satellites.
  • Sports Science: Analyzing forces in cycling, racing, and gymnastics.
  • Engineering & Robotics: Designing rotating machines, turbines, and robotic arms.