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Angular Displacement Calculator
All physics tools
Calculate the angle through which an object rotates.
Geometry of Rotation
Arc Length (s)
Radius (r)
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Calculation Results
About this calculator
Overview
Angular displacement (θ) is the angle in radians through which a point or line has been rotated in a specified sense about a specified axis.
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Pro Tips
θ = s / r (s = arc length, r = radius).
Radians is the standard SI unit for angular displacement.
Ensuring arc length and radius have the same distance units.
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Fun Facts
"Ancient Babylonians chose 360 degrees because their year had roughly 360 days."
"A radian represents the angle where the arc length equals the radius."
"The tires of a car rotating multiple times represent high accumulated angular displacement."
Formula: θ = s / r