Rotational Kinematics Calculator

Angular velocity, angle turned and revolutions for constant angular acceleration.

Results

Final angular velocity ω—
Final speed—
Angle turned θ—
Revolutions—
Angle turned—
Tangential speed—
Tangential acceleration—

How to use the Rotational Kinematics Calculator

  1. Enter or select: Initial angular velocity ω₀, Angular acceleration α, Time t.
  2. Fill in what you know of: Radius for linear values (optional) — leave the unknown empty.
  3. The results (Final angular velocity ω, Final speed, Angle turned θ, Revolutions, Angle turned, Tangential speed, Tangential acceleration) are calculated instantly as you type.
  4. Use “Copy link” to share the calculation with the same input values.

Formula

  • ω = ω₀ + αt
  • θ = ω₀t + ½αt²
  • ω² = ω₀² + 2αθ
ExpressionApply operationsCalculated result