Angular Acceleration Calculator

Free calculate the rate of change of angular velocity over time for rotational motion. Get instant, accurate results with our easy-to-use calculator.

Input Parameters

Results

Enter parameters to calculate angular acceleration

Angular Acceleration Formula

Formula

α = (ω - ω₀) / t

or

α = τ / I

Where:

  • • α = angular acceleration (rad/s²)
  • • ω = final angular velocity (rad/s)
  • • ω₀ = initial angular velocity (rad/s)
  • • t = time (s)
  • • τ = torque (N⋅m)
  • • I = moment of inertia (kg⋅m²)

Common Values

  • • CD/DVD spin: ~500 rad/s²
  • • Washing machine: ~2-5 rad/s²
  • • Car wheel: ~10-20 rad/s²
  • • Hard drive: ~1000+ rad/s²

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