MyCalCute
Install
Calculators / Science / Centripetal force

Centripetal force calculator

Calculate the inward acceleration and force required to keep a mass moving at a given speed around a circular path of known radius.

On this page

Your result

Force25N
Acceleration12.5m/s²

Calculator controls

How to calculate

Calculate the inward acceleration and force required to keep a mass moving at a given speed around a circular path of known radius.

Force = m*v^2/r N; Acceleration = v^2/r m/s²

Worked example

Mass (kg): 2; Speed (m/s): 5; Radius (m): 2.

Force: 25 N; Acceleration: 12.5 m/s².

Assumptions and limits

Calculate the inward acceleration and force required to keep a mass moving at a given speed around a circular path of known radius. Ideal classical mechanics. Enter SI units and the angle between the force and lever arm; torque output is a magnitude.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Calculate the inward acceleration and force required to keep a mass moving at a given speed around a circular path of known radius.

When this tool is useful

Force = m*v^2/r N; Acceleration = v^2/r m/s²

Understanding your inputs

InputWhat to enter
Mass (kg)Enter a number of at least 0 and no more than 1000000000000.
Speed (m/s)Enter a number of at least 0 and no more than 1000000000000.
Radius (m)Enter a number of at least 1e-12 and no more than 1000000000000.

Frequently asked questions

What assumptions does this calculation use?

Calculate the inward acceleration and force required to keep a mass moving at a given speed around a circular path of known radius. Ideal classical mechanics. Enter SI units and the angle between the force and lever arm; torque output is a magnitude.

How is the result calculated?

Force = m*v^2/r N; Acceleration = v^2/r m/s²