Angular Acceleration Calculator

Your details

Choose which known quantities you have to find angular acceleration.
Unit for both initial and final angular velocity inputs.
Angular velocity at the start of the time interval.
rad/s
Angular velocity at the end of the time interval.
rad/s
Duration over which the angular velocity changes.
s
Unit for the angular acceleration result.
Angular accelerationModerate angular acceleration
2

Rate of change of angular velocity

Unitrad/s2
Angular acceleration (rad/s2)2rad/s2
Angular acceleration (deg/s2)114.592deg/s2
Angular acceleration (RPM/s)19.0986RPM/s
Final angular velocity10rad/s
Final speed95.49RPM
Angular displacement25rad
Revolutions completed3.979rev
Tangential acceleration (r = 1 m)2m/s2
2 rad/s2
Strong deceleration<-10Mild deceleration-10--1Near-constant-1-1Mild acceleration1-10Strong acceleration10+

Angular acceleration: 2.0000 rad/s2

  • The body is speeding up (positive angular acceleration).
  • In common units: 2.0000 rad/s2 = 114.592 deg/s2 = 19.0986 RPM/s.
  • The final speed is 95.49 RPM.
  • During the interval the body completes 3.979 revolutions.
  • Tangential acceleration at r = 1 m from the axis is 2.0000 m/s2 (a = alpha * r).

Next stepTo relate this to torque, use tau = I * alpha. To find centripetal acceleration, you also need the angular velocity: ac = omega2 * r.

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