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In physics, angular velocity (symbol ω or , the lowercase Greek letter omega), also known as angular frequency vector, [1] is a pseudovector representation of how the angular position or orientation of an object changes with time, i.e. how quickly an object rotates (spins or revolves) around an axis of rotation and how fast the axis itself changes direction.
Angular frequency (or angular speed) is the magnitude of the pseudovector quantity angular velocity. [1] Angular frequency can be obtained multiplying rotational frequency, ν (or ordinary frequency, f) by a full turn (2 π radians): ω = 2 π rad⋅ν. It can also be formulated as ω = dθ/dt, the instantaneous rate of change of the angular ...
In classical mechanics, Euler's rotation equations are a vectorial quasilinear first-order ordinary differential equation describing the rotation of a rigid body, using a rotating reference frame with angular velocity ω whose axes are fixed to the body. They are named in honour of Leonhard Euler. Their general vector form is
Defining equation (physical chemistry) List of electromagnetism equations; List of equations in classical mechanics; List of equations in fluid mechanics; List of equations in gravitation; List of equations in nuclear and particle physics; List of equations in wave theory; List of photonics equations; List of relativistic equations
The radian per second (symbol: rad⋅s −1 or rad/s) is the unit of angular velocity in the International System of Units (SI). The radian per second is also the SI unit of angular frequency (symbol ω, omega). The radian per second is defined as the angular frequency that results in the angular displacement increasing by one radian every ...
Left: intrinsic "spin" angular momentum S is really orbital angular momentum of the object at every point, right: extrinsic orbital angular momentum L about an axis, top: the moment of inertia tensor I and angular velocity ω (L is not always parallel to ω) [6] bottom: momentum p and its radial position r from the axis.
the omega baryon; the arithmetic function counting a number's prime factors counted with multiplicity; the density parameter in cosmology; the first uncountable ordinal (also written as ω 1) Chaitin's constant for a given computer program; the vacuum state in quantum field theory; represents: angular velocity / radian frequency (rad/sec)
The angular velocity satisfies equations of motion known as Euler's equations (with zero applied torque, since by assumption the rotor is in field-free space). It can be shown that ω {\displaystyle {\boldsymbol {\omega }}} is not the time derivative of any vector, in contrast to the usual definition of velocity .