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Angular displacement
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{{Short description|Displacement measured angle-wise when a body is showing circular or rotational motion}} {{Infobox physical quantity | name = Angular displacement | othernames = rotational displacement, angle of rotation | width = | background = | image = [[File:Examples of Polar Coordinates.svg|class=skin-invert-image|220px]] | caption = {{longitem|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 {{nowrap|1=210° − 60° = 150°}}. A complete rotation about the center point is equal to 1 [[turn (geometry)|tr]], 360[[degree (angle)|°]], or 2[[pi|π]] [[radian]]s.}} | unit = [[radians]], [[degrees (angle)|degrees]], [[turn (unit)|turns]], etc. (any [[angular unit]]) | otherunits = | symbols = θ, {{not a typo|ϑ}}, φ | baseunits = [[radians]] (rad) | dimension = | extensive = | intensive = | conserved = | transformsas = | derivations = }} {{Classical mechanics|rotational}} The '''angular displacement''' (symbol θ, {{not a typo|ϑ}}, or φ) – also called '''angle of rotation''', '''rotational displacement''', or '''rotary displacement''' – of a [[physical body]] is the [[angle]] (in [[unit of measurement|units]] of [[radian]]s, [[degree (angle)|degree]]s, [[turn (geometry)|turns]], etc.) through which the body [[rotation|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 (angle)|turn]].
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