🔄 Angular Displacement Calculator
Calculate the total angle an object rotates through, given its initial angular velocity, angular acceleration, and elapsed time.
rad/s
rad/s²
s
What angular displacement measures
Angular displacement is the total angle through which an object rotates about an axis, measured in radians or degrees. It is the rotational analog of linear displacement.
The formula used
This calculator uses θ = ω0·t + ½α·t², where ω0 is the initial angular velocity, α is the angular acceleration, and t is elapsed time — the rotational equivalent of the linear equation s = ut + ½at². The result is also converted to degrees for convenience.
This assumes constant angular acceleration over the time interval. For general physics education purposes.
Last reviewed August 2026