Angular Displacement Calculator
Calculate angular displacement using rotational kinematics equations or from arc length and radius.
Input Values
Angular Displacement
24.0000 rad
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
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