Centripetal Force Calculator

Calculate forces in circular motion with multiple formulas and unit support

Calculation Mode

Solve For

Input Parameters

Results

Enter values and click Calculate to see results

Centripetal Force: -
Centripetal Acceleration: -
Period: -
Frequency: -

Formula Used

F = mv²/r

Quick Examples

Car on Curve

1500 kg car at 25 m/s on 100m radius curve

F = 9,375 N

Satellite Orbit

500 kg satellite, 7800 m/s, 6.67×10⁶ m radius

F = 4,563 N

Rotating Wheel

2 kg mass, 120 rpm, 0.5m radius

F = 1,578 N

When to Use Centripetal Force Calculator

Physics Homework

Solve circular motion problems quickly and verify your calculations with step-by-step solutions for better understanding.

Engineering Design

Calculate forces in rotating machinery, vehicle dynamics, and structural engineering applications requiring circular motion analysis.

Orbital Mechanics

Determine gravitational forces for satellite orbits, planetary motion, and space mission planning calculations.

Amusement Rides

Safety calculations for roller coasters, ferris wheels, and spinning rides to ensure proper force limits and rider safety.

Vehicle Dynamics

Analyze cornering forces, tire grip requirements, and banking angles for automotive and motorsport applications.

Sports Analysis

Calculate forces in track cycling, figure skating spins, hammer throw, and other sports involving circular motion.

Frequently Asked Questions

What is centripetal force and how is it calculated?

Centripetal force is the force required to keep an object moving in a circular path, directed toward the center of rotation. It's calculated using F = mv²/r (with linear velocity) or F = mrω² (with angular velocity), where m is mass, v is velocity, r is radius, and ω is angular velocity.

What's the difference between centripetal and centrifugal force?

Centripetal force is the real force acting toward the center of circular motion. Centrifugal force is a fictitious force experienced in a rotating reference frame, appearing to push objects outward. In physics calculations, we use centripetal force as the actual force requirement.

Can I calculate missing parameters if I know some values?

Yes, our calculator can solve for any unknown parameter when you provide the other known values. You can find mass, velocity, radius, or force by entering the available data and selecting what you want to calculate.

Is this centripetal force calculator free to use?

Yes, our centripetal force calculator is completely free to use with no registration required. It provides instant calculations, supports multiple units, and includes educational examples for learning.

What units does the calculator support?

The calculator supports various units: mass (kg, g, lb), velocity (m/s, km/h, mph), radius (m, cm, ft, in), angular velocity (rad/s, rpm), and automatically converts between them for accurate results.

How accurate are the centripetal force calculations?

Our calculator uses precise mathematical formulas and provides results with high accuracy. It's suitable for academic homework, engineering calculations, and professional physics applications.

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