Angular Displacement Calculator

Free calculate the angle through which an object has rotated from its initial position. Get instant, accurate results with our easy-to-use calculator.

Input Parameters

Results

Enter parameters to calculate angular displacement

Angular Displacement Formula

Formula

θ = ω₀t + ½αt²

or (constant velocity):

θ = ωt

Where:

  • • θ = angular displacement (rad)
  • • ω₀ = initial angular velocity (rad/s)
  • • ω = final angular velocity (rad/s)
  • • α = angular acceleration (rad/s²)
  • • t = time (s)

Unit Conversions

  • • 1 radian = 57.296°
  • • 1 revolution = 2π rad
  • • 1 revolution = 360°
  • • 1 rad/s = 9.549 rpm

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