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  2. 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).

  3. Sine wave - Wikipedia

    en.wikipedia.org/wiki/Sine_wave

    A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics , as a linear motion over time, this is simple harmonic motion ; as rotation , it corresponds to uniform circular motion .

  4. List of equations in wave theory - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_wave...

    Position of a point in space, not necessarily a point on the wave profile or any line of propagation d, r: m [L] Wave profile displacement Along propagation direction, distance travelled (path length) by one wave from the source point r 0 to any point in space d (for longitudinal or transverse waves) L, d, r

  5. Wavenumber - Wikipedia

    en.wikipedia.org/wiki/Wavenumber

    where ν is the frequency of the wave, λ is the wavelength, ω = 2πν is the angular frequency of the wave, and v p is the phase velocity of the wave. The dependence of the wavenumber on the frequency (or more commonly the frequency on the wavenumber) is known as a dispersion relation.

  6. Angular velocity - Wikipedia

    en.wikipedia.org/wiki/Angular_velocity

    If angle is measured in radians, the linear velocity is the radius times the angular velocity, =. With orbital radius 42,000 km from the Earth's center, the satellite's tangential speed through space is thus v = 42,000 km × 0.26/h ≈ 11,000 km/h

  7. Phase (waves) - Wikipedia

    en.wikipedia.org/wiki/Phase_(waves)

    This concept can be visualized by imagining a clock with a hand that turns at constant speed, making a full turn every seconds, and is pointing straight up at time . The phase φ ( t ) {\displaystyle \varphi (t)} is then the angle from the 12:00 position to the current position of the hand, at time t {\displaystyle t} , measured clockwise .

  8. Piston motion equations - Wikipedia

    en.wikipedia.org/wiki/Piston_motion_equations

    For rod length 6" and crank radius 2" (as shown in the example graph below), numerically solving the acceleration zero-crossings finds the velocity maxima/minima to be at crank angles of ±73.17615°. Then, using the triangle law of sines, it is found that the rod-vertical angle is 18.60647° and the crank-rod angle is 88.21738°. Clearly, in ...

  9. Sinusoidal plane-wave solutions of the electromagnetic wave ...

    en.wikipedia.org/wiki/Sinusoidal_plane-wave...

    Sinusoidal plane-wave solutions are particular solutions to the wave equation. The general solution of the electromagnetic wave equation in homogeneous, linear, time-independent media can be written as a linear superposition of plane-waves of different frequencies and polarizations .