Physics and mechanical fundamentals · Circular motion

Centripetal acceleration

Calculate inward acceleration for uniform circular motion from speed and radius.

Published · R0

Method and scope

ac = v²/r.

Use centripetal acceleration for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.

Inputs
  • Speed — m/s, km/h, mph
  • Path radius — m, cm, ft
SOURCE AND LIMITS

Assumptions: The path is circular and instantaneous speed is treated as known. The output is inward acceleration magnitude.

Limitations: Tangential acceleration is not included.

Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.
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