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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 jerk: radian per second cubed (rad⋅s −3) energy efficiency: unitless (dynamic) viscosity (also ) pascal second (Pa⋅s) theta: angular displacement: radian (rad) kappa: torsion coefficient also called torsion constant newton meter per radian (N⋅m/rad)
The above development is a special case of general rotational motion. In the general case, angular displacement, angular velocity, angular acceleration, and torque are considered to be vectors. An angular displacement is considered to be a vector, pointing along the axis, of magnitude equal to that of .
the angular displacement of a particle rotating about an axis; the Watterson estimator in population genetics; the thermal resistance between two bodies; ϑ ("script theta"), the cursive form of theta, often used in handwriting, represents the first Chebyshev function in number theory; Theta role in linguistics
Rotation (angular displacement) of a planar figure around a point Rotational orbit v spin Relations between rotation axis, plane of orbit and axial tilt (for Earth) Mathematically, a rotation is a rigid body movement which, unlike a translation, keeps at least one point fixed. This definition applies to rotations in two dimensions (in a plane ...
It may be quantified in terms of an angle (angular displacement) or a distance (linear displacement). A longitudinal deformation (in the direction of the axis) is called elongation . The deflection distance of a member under a load can be calculated by integrating the function that mathematically describes the slope of the deflected shape of ...
It refers to the angular displacement per unit time (e.g. in rotation) or the rate of change of the phase of a sinusoidal waveform (e.g. in oscillations and waves), or as the rate of change of the argument of the sine function. Angular frequency (or angular speed) is the magnitude of the vector quantity that is angular velocity.
Displacement is the shift in location when an object in motion changes from one position to another. [2] For motion over a given interval of time, the displacement divided by the length of the time interval defines the average velocity (a vector), whose magnitude is the average speed (a scalar quantity).