Angular Displacement Calculator

Your details

Pick the mode that matches your known values. Each mode uses a different variant of the angular displacement formula.
The distance the object travels along the circular path. Must use the same length unit as the radius.
m
The radius of the circular path. Must use the same length unit as arc length.
m
Radians are the SI unit. Degrees are convenient for everyday problems. Full rotations show how many complete circles the object has swept.
Angular displacement
3

The angle swept by the rotating body

In degrees171.887deg
In rotations0.4775rev
Arc length6m
0.4775 rev
Less than 1 rotation<11-2 rotations1-22-3 rotations2-33+ rotations3+

Angular displacement: 3.0000 rad (171.89 deg, 0.4775 rev)

  • The object swept 171.9 degrees, which is less than half a full rotation.
  • Angular displacement is the shortest signed angle from the initial to the final position, not the total path length when the body completes more than one full turn.

Next stepPair this with the angular velocity or angular acceleration calculator to solve the rest of the rotational kinematics equations.

 = Powered by OnlyCalculators