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Centripetal Force: Radius Calculator

Centripetal Force: Calculate radius from Force magnitude, Mass, Speed. Check the formula, input units and worked result on this page.

Enter your values

N
Formula symbol: F. Required unit: N. Must be greater than zero.
kg
Formula symbol: m. Required unit: kg. Must be greater than zero.
m/s
Formula symbol: v. Required unit: m/s. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. It is the inward net force in circular motion, with constant radius and speed; it is not an additional separate force.
Example result
Radius
1.125 m

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use centripetal force with the units stated beside the fields. This form solves for radius; enter the known quantities in Force magnitude, Mass, Speed.

Inputs and units
Centripetal Force: Radius Calculator · Inputs and units
InputExample valueWhat to enter
Force magnitude18 NFormula symbol: F. Required unit: N. Must be greater than zero.
Mass2.25 kgFormula symbol: m. Required unit: kg. Must be greater than zero.
Speed3 m/sFormula symbol: v. Required unit: m/s. Must be greater than zero.
r = ((F / (1 × m × (v)^(2))))^(-1)

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Force magnitude
18 N
Mass
2.25 kg
Speed
3 m/s

Complete example results

Radius
1.125 m

Reading the result

The result solves for radius from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the radius result?

This model uses positive magnitudes. It is the inward net force in circular motion, with constant radius and speed; it is not an additional separate force.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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