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  2. Pendulum (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Pendulum_(mechanics)

    The real period is, of course, the time it takes the pendulum to go through one full cycle. Paul Appell pointed out a physical interpretation of the imaginary period: [16] if θ 0 is the maximum angle of one pendulum and 180° − θ 0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the ...

  3. Pendulum - Wikipedia

    en.wikipedia.org/wiki/Pendulum

    The seconds pendulum, a pendulum with a period of two seconds so each swing takes one second, was widely used to measure gravity, because its period could be easily measured by comparing it to precision regulator clocks, which all had seconds pendulums. By the late 17th century, the length of the seconds pendulum became the standard measure of ...

  4. Simple harmonic motion - Wikipedia

    en.wikipedia.org/wiki/Simple_harmonic_motion

    The period of a mass attached to a pendulum of length l with gravitational acceleration is given by = This shows that the period of oscillation is independent of the amplitude and mass of the pendulum but not of the acceleration due to gravity, g {\displaystyle g} , therefore a pendulum of the same length on the Moon would swing more slowly due ...

  5. Seconds pendulum - Wikipedia

    en.wikipedia.org/wiki/Seconds_pendulum

    A seconds pendulum is a pendulum whose period is precisely two seconds; one second for a swing in one direction and one second for the return swing, a frequency of 0.5 Hz. [ 1 ] Principles

  6. Conical pendulum - Wikipedia

    en.wikipedia.org/wiki/Conical_pendulum

    Monumental conical pendulum clock by Farcot, 1878. A conical pendulum consists of a weight (or bob) fixed on the end of a string or rod suspended from a pivot.Its construction is similar to an ordinary pendulum; however, instead of swinging back and forth along a circular arc, the bob of a conical pendulum moves at a constant speed in a circle or ellipse with the string (or rod) tracing out a ...

  7. Circular motion - Wikipedia

    en.wikipedia.org/wiki/Circular_motion

    Pendulum; Tangential speed; ... Formula. Figure 1: Vector relationships for uniform circular motion; ... The period of the motion is 2 ...

  8. Schuler tuning - Wikipedia

    en.wikipedia.org/wiki/Schuler_tuning

    If such a pendulum were attached to the inertial platform of an inertial navigation system, the platform would remain level, facing "north", "east" and "down", as it was moved about on the surface of the Earth. The Schuler period can be derived from the classic formula for the period of a pendulum:

  9. Kater's pendulum - Wikipedia

    en.wikipedia.org/wiki/Kater's_pendulum

    Repeatedly timing each period of a Kater pendulum, and adjusting the weights until they were equal, was time-consuming and error-prone. Friedrich Bessel showed in 1826 that this was unnecessary. As long as the periods measured from each pivot, T 1 and T 2, are close in value, the period T of the equivalent simple pendulum can be calculated from ...