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Centripetal Force

Find inward force and acceleration for circular motion.

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Local calculations. Results are estimates, not professional advice.

Inward net force

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Idealized classical model in SI units. Check sign conventions and assumptions; not a certified engineering design calculation.

Formula

F=mv²/r; a=v²/r

Find inward force and acceleration for circular motion.

Worked example

Mass (kg)
10
Tangential speed (m/s)
5
Radius (m)
2
Inward net force
125 N
Centripetal acceleration
12.5 m/s²

Scope and limitations

Idealized classical model in SI units. Check sign conventions and assumptions; not a certified engineering design calculation.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 833c61d40da0 · Example checked:

Methodology

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