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  2. Angular velocity - Wikipedia

    en.wikipedia.org/wiki/Angular_velocity

    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.

  3. Tangential speed - Wikipedia

    en.wikipedia.org/wiki/Tangential_speed

    When proper units are used for tangential speed v, rotational speed ω, and radial distance r, the direct proportion of v to both r and ω becomes the exact equation =. This comes from the following: the linear (tangential) velocity of an object in rotation is the rate at which it covers the circumference's length:

  4. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    where α is the constant angular acceleration, ω is the angular velocity, ω 0 is the initial angular velocity, ... The general linear wave equation in 3D is: ...

  5. Angular frequency - Wikipedia

    en.wikipedia.org/wiki/Angular_frequency

    A sphere rotating around an axis. Points farther from the axis move faster, satisfying ω = v / r.. In physics, angular frequency (symbol ω), also called angular speed and angular rate, is a scalar measure of the angle rate (the angle per unit time) or the temporal rate of change of the phase argument of a sinusoidal waveform or sine function (for example, in oscillations and waves).

  6. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    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.

  7. Screw theory - Wikipedia

    en.wikipedia.org/wiki/Screw_theory

    A twist is a screw used to represent the velocity of a rigid body as an angular velocity around an axis and a linear velocity along this axis. All points in the body have the same component of the velocity along the axis, however the greater the distance from the axis the greater the velocity in the plane perpendicular to this axis.

  8. Euler's equations (rigid body dynamics) - Wikipedia

    en.wikipedia.org/wiki/Euler's_equations_(rigid...

    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

  9. Kinematics - Wikipedia

    en.wikipedia.org/wiki/Kinematics

    Angular velocity: the angular velocity ω is the rate at which the angular position θ changes with respect to time t: = The angular velocity is represented in Figure 1 by a vector Ω pointing along the axis of rotation with magnitude ω and sense determined by the direction of rotation as given by the right-hand rule.

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