Centripetal Force Calculator

Force from mass, velocity, and radius.

Inputs

Mass (kg)

Tangential Velocity (m/s)

Radius (m)

Tab to move between fields

Results

Centripetal Force (N)

Centripetal Acceleration (m/s²)

G-Force2.04

Angular Velocity (rad/s)2

RPM19.1

Period (s)3.14

Frequency (Hz)0.32

How to Use This Calculator

Enter mass (kg), tangential velocity (m/s), and radius (m) of the circular path.
Read centripetal force (N) and centripetal acceleration (m/s2).
Review G-force to assess the acceleration relative to Earth gravity.
Check angular velocity (rad/s), RPM, period (s), and frequency (Hz) for the rotation.

How the result changes with Tangential Velocity (m/s)

Tangential Velocity (m/s)	Centripetal Force (N)	Centripetal Acceleration (m/s²)
30,000,000	180,000,000,000,000	180,000,000,000,000
105,000,000	2,205,000,000,000,000	2,205,000,000,000,000
195,000,000	7,605,000,000,000,000	7,605,000,000,000,000
270,000,000	14,580,000,000,000,000	14,580,000,000,000,000

What each input means

Mass (kg): Mass of the rotating object in kilograms.
Tangential Velocity (m/s): Speed along the circular path.
Radius (m): Radius of the circular path.

What each result means

Centripetal Force (N): F = mv²/r. Force directed toward the center.
Centripetal Acceleration (m/s²): a = v²/r.
G-Force: Acceleration relative to Earth gravity (9.81 m/s²).
Angular Velocity (rad/s): ω = v/r.
RPM: Revolutions per minute.
Period (s): Time for one complete revolution.
Frequency (Hz): Revolutions per second.

How this is calculated

Worked example, using the default values

Identify Input Parameters
Mass (kg) = 1, Tangential Velocity (m/s) = 10, Radius (m) = 5 = 3 input(s) provided
Calculate Centripetal Force
Centripetal Force = massKg * velocityMs * velocityMs / radiusM
20 = 20
Calculate Centripetal Acceleration
Centripetal Acceleration = velocityMs * velocityMs / radiusM
20 = 20
Calculate G-Force
G-Force = accelerationMs2 / 9.80665
2.039 = 2.039
Calculate Angular Velocity
Angular Velocity = velocityMs / radiusM
2 = 2

The questions that sit next to this one — chosen by subject, including calculators filed under a different category.

Science & Engineering

Force Calculator (F=ma)

Calculate force, mass, or acceleration using Newton's Second Law (F = ma). Includes unit conversions to pounds-force and dynes.

Science & Engineering

Physics Essentials Calculator

Complete classical mechanics calculator — force, velocity, acceleration, kinetic/potential energy, momentum, power, and projectile motion calculations.

Life Support