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Angular Acceleration Calculator

Calculate average angular acceleration about a fixed axis from two angular velocities and elapsed time.

Angular acceleration

5.000000rad/s²

Formula

ᾱ = (ωf − ωi)/Δt.

Elapsed time: 2 s · Angular acceleration ≈ ((10)-(0))÷(2 s)

How to use

  1. Choose a positive rotation direction.
  2. Enter signed angular velocities in rad/s and positive time.
  3. Read average angular acceleration.

Examples

  • From 0 to 10 rad/s in 2 s gives 5 rad/s².

Frequently asked questions

Can the result be negative?

Yes. The angular velocity change can oppose your positive rotation direction.

Must rotation be uniform?

No. This is the average change over the entered interval.

My values are in rpm; what should I enter?

Convert each to rad/s by multiplying rpm by 2π/60 before entering it.

Sources

Updated:

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