Displacement measured angle-wise when a body is showing circular or rotational motion
Angular displacement
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)
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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.
and 24 Related for: Angular displacement information
The angulardisplacement (symbol θ, ϑ, or φ) – also called angle of rotation, rotational displacement, or rotary displacement – of a physical body is...
instantaneous plane of rotation or angulardisplacement. There are two types of angular velocity: Orbital angular velocity refers to how fast a point...
the angulardisplacement, θ 1 {\displaystyle \theta _{1}} is the initial angular position and θ 2 {\displaystyle \theta _{2}} is the final angular position...
the instantaneous rate of change of the angulardisplacement, θ, with respect to time, t. In SI units, angular frequency is normally presented with the...
plane of angulardisplacement, and the mass involved, as well as how this mass is distributed in space. By retaining this vector nature of angular momentum...
infinitesimal linear displacement d s {\displaystyle \mathrm {d} \mathbf {s} } is related to a corresponding angulardisplacement d θ {\displaystyle \mathrm...
in optics, it is the angular aperture (of a lens). The angular diameter can alternatively be thought of as the angulardisplacement through which an eye...
physics, angular acceleration (symbol α, alpha) is the time rate of change of angular velocity. Following the two types of angular velocity, spin angular velocity...
blackbody radiation Angulardisplacement, a change in orientation of a rigid body, the amount of rotation about a fixed axis. Engine displacement, the total volume...
the displacement is given by: Δ x = x 2 − x 1 {\displaystyle \Delta x=x_{2}-x_{1}} The equivalent of displacement in rotational motion is the angular displacement...
{\boldsymbol {W}}} is the infinitesimal rotation tensor or infinitesimal angulardisplacement tensor (related to the infinitesimal rotation matrix). This tensor...
omega). The radian per second is defined as the angular frequency that results in the angulardisplacement increasing by one radian every second. A frequency...
Angular distance or angular separation is the measure of the angle between the orientation of two straight lines, rays, or vectors in three-dimensional...
may refer to: Phase (waves), the angulardisplacement of a sinusoid from a reference point or time Phasor angle, angular component of the complex number...
vector. When multiplied by a time difference, it results in the angulardisplacement tensor. A vector r {\displaystyle \mathbf {r} } undergoing uniform...
angulardisplacement and current is applied to electromagnets on the armature to balance the force from the tube and bring the angulardisplacement to...
transformer (RVDT) is a type of electrical transformer used for measuring angulardisplacement. The transformer has a rotor which can be turned by an external force...
The caster angle or castor angle is the angulardisplacement of the steering axis from the vertical axis of a steered wheel in a car, motorcycle, bicycle...
actuator that converts hydraulic pressure and flow into torque and angulardisplacement (rotation). The hydraulic motor is the rotary counterpart of the...
rotational motion. Angular frequency, usually denoted by the Greek letter ω (omega), is defined as the rate of change of angulardisplacement (during rotation)...
failed to notice. The phenomenon consists of a false perception of angulardisplacement about the roll axis and therefore becomes an illusion of bank. This...
polar second moment of area is most often used to calculate the angulardisplacement of an object subjected to a moment (torque) applied parallel to the...
stability is of great importance to floating vessels. Given a small angulardisplacement, the vessel may return to its original position (stable), move away...