Centripetal Force Calculator

Calculate the centripetal force acting on an object moving in a circular path using the formula: F = mv²/r

Result:

Centripetal Force: 450.00 Newtons (N)

Additional Information:

Centripetal Acceleration: 45.00 m/s²

Angular Velocity: 3.00 rad/s

Period: 2.09 seconds

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This tool calculates the force that keeps an object moving in a circle. It uses the formula F = m·v²/r.

How to Use This Tool

  1. Enter the mass in kilograms. For example, use 10.

  2. Enter the velocity in meters per second. A common value is 15.

  3. Enter the radius in meters. A valid example is 5.

  4. Click the Calculate Centripetal Force button.

The result displays the force in Newtons. It shows only the magnitude as a positive number.

Input Field Details

Interpreting the Output

The main output is the centripetal force. The displayed value has two decimal points for clarity. The force is shown in Newtons (N).

The tool also provides related values. These include centripetal acceleration, angular velocity, and period. They help broaden the physics context.

Limitations and Notes

The tool checks for valid input. Mass and radius should be positive values.

The tool calculates using the absolute value to give a positive force result. It does not account for direction.

Common Use Cases

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