NaNa Lab EngineeringE029 · Mechanics

ONE FORMULA, ONE ANSWER

Centripetal Acceleration Calculator

Check the normal acceleration component in a circular-motion experiment. Choose input units and calculate one value within the stated conditions.

Inputs

Negative, zero or positive

Greater than zero after conversion to SI

Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.

Result

Inward acceleration magnitude a_c

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Enter values and select Calculate.

FORMULA

a_c = v² / r

Assumptions

Use r>0. This is only the normal component of circular-motion acceleration. Tangential acceleration from changing speed is excluded, so this is not the total acceleration.

Displayed values are floating-point approximations. Measurement uncertainty and design safety factors are not calculated.

Formula references and credits

NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.

Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.

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