Centripetal force calculator

Centripetal force = mass × speed² ÷ radius.

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Mass (kg)

Tangential speed (m/s)

More inputs and assumptions

Turn radius (meters)

Answer

…

Centripetal force = mass × speed² ÷ radius.

More results

Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Step-by-step calculation

Inputs are substituted below. Each line evaluates the next operation; intermediate values are displayed to 12 significant digits while the calculation uses full precision.

Saved scenario

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Formula and assumptions

Uniform circular motion requires this net force toward the center. This calculation does not identify which physical force supplies it.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Updated 2026-09-26

Using Centripetal force calculator

Centripetal force = mass × speed² ÷ radius.

Uniform circular motion requires this net force toward the center. This calculation does not identify which physical force supplies it.

Next: Basic calculator

A worked example

With mass (kg) = 2, tangential speed (m/s) = 3, turn radius (meters) = 2, the inward force (n) is 9.

Before you use the result

Uniform circular motion requires this net force toward the center. This calculation does not identify which physical force supplies it.

Example results for mass (kg)

These examples use Tangential speed (m/s): 3; Turn radius (meters): 2. They are reference calculations, not recommended settings.

Mass (kg)	Inward force (N)
1	4.5
2	9
4	18

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