Centripetal acceleration calculator

I want to calculate
Radius(r) = m
Velocity(v) = m/s
Centripal acceleration(a) = m/s2
 

What is a Centripetal Acceleration Calculator?

A Centripetal Acceleration Calculator is a tool used to determine the acceleration required to keep an object moving in a circular path at a constant speed. This acceleration is always directed toward the center of the circular path.

Why Use This Calculator?

  • To analyze motion in circular tracks, such as vehicles on curved roads or roller coasters.
  • To calculate the forces acting on satellites, planets, and rotating objects.
  • To determine the safety limits of high-speed turns in sports, aviation, and engineering.

How Does It Work?

Centripetal acceleration (aca_c a c​ ) is given by the formula:

or using angular velocity:

Where:

  • ac​ = Centripetal acceleration (m/s²)
  • 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: Determining safe speeds for cars on curved roads.
  • Roller Coasters & Amusement Rides: Ensuring riders experience safe acceleration.
  • Orbital Mechanics & Astronomy: Calculating forces on satellites and planets.
  • Sports Science: Analyzing forces in cycling, racing, and gymnastics.