Angular displacement
The angular displacement (symbol θ, ϑ, or φ) – also called angle of rotation, rotational displacement, or rotary displacement – of a physical body is the angle (in units of radians, degrees, turns, etc.) through which the body rotates (revolves or spins) around a centre or axis of rotation. Angular displacement may be signed, indicating the sense of rotation (e.g., clockwise); it may also be greater (in absolute value) than a full turn.
| Angular displacement | |
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The angle of rotation from the black ray to the green segment is 60°, from the black ray to the blue segment is 210°, and from the green to the blue segment is 210° − 60° = 150°. A complete rotation about the center point is equal to 1 tr, 360°, or 2π radians. | |
Other names | rotational displacement, angle of rotation |
Common symbols | θ, ϑ, φ |
| SI unit | radians, degrees, turns, etc. (any angular unit) |
| In SI base units | radians (rad) |
| Part of a series on |
| Classical mechanics |
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