Angular Displacement Calculator
Calculate angular displacement using rotational kinematics equations or from arc length and radius.
Input Values
5 rad/s
0 rad/s100 rad/s
rad/s
2 rad/s²
-20 rad/s²20 rad/s²
rad/s²
3 s
0.1 s60 s
s
Angular Displacement
24.0000 rad
°In Degrees
1375.10°
revRevolutions
3.8197
ωFinal Angular Velocity
11.0000 rad/s
Formula Used:
θ = ω₀t + ½αt²
θ = 5 × 3 + ½ × 2 × 3² = 24.0000 rad
What is Angular Displacement?
Angular displacement is the angle through which an object rotates about a fixed axis. It measures the change in the angular position of a rotating body. Unlike linear displacement, angular displacement is measured in radians (rad) or degrees (°). One complete revolution equals 2π radians or 360 degrees.
Angular Displacement Formulas
Kinematics Equation
θ = ω₀t + ½αt²
Where: θ = angular displacement, ω₀ = initial angular velocity, α = angular acceleration, t = time
Arc Length Relation
θ = s / r
Where: θ = angular displacement, s = arc length, r = radius