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rotation of earth
if the pendulum is free to swing in any direction (not constrained to a single plane, as is the pendulum in a pendulum clock), this is called a Foucault pendulum, and each swing will be slightly offset from the previous one due to the rotation of the Earth. If you were to attach a pen to the bottom of a Foucault pendulum, over the course of time it would make a tremendously complicated spirograph pattern.
Any pendulum on a string ... free to swing in any direction ... can demonstratethe behavior associated with Foucault's pendulum. The only trick is that it has tokeep going for several hours before the behavior is obvious. So the task ofbuilding a Foucault pendulum is actually the task of building a pendulum thatdoesn't run down and stop. There are a number of simple electric/magnetic waysto do that, including the one I installed in 1968, to run the Foucault Pendulumin the lobby of the Oklahoma Science and Arts Foundation, at its old location atthe Oklahoma State Fairgrounds.
A pendulum moves not by Earth's rotation, but by gravity pulling down and causing it to swing.
A heavier pendulum will swing longer due to its greater inertia.
For a pendulum, or a child on a swing: Change the length of the pendulum or the swing-chains. For a guitar string: Change the tension (tune it), or the length (squeeze it into a fret). For an electronic oscillator: Change the piezo crystal, or change a capacitor or inductor for one of a different value.
how is pendulum swing related to teaching process?
A simple pendulum.
The popular formula for the period of a pendulum works only for small angular displacements. In deriving it, you need to assume that theta, the angular displacement from the vertical, measured in radians, is equal to sin(theta). If not, you need to make much more complicated calculations. There are also other assumptions to simplify the formula - eg string is weightless. The swing of the pendulum will precess with the rotation of the earth. This may not work if the pendulum hits its stand! See Foucault's Pendulum (see link). The motion of the pendulum will die out as a result of air resistance. Thermal expansion can change the length of the pendulum and so its period.
If the pendulum was pushed with a large force or if it was heavier. It might swing faster.
The acceleration of a pendulum is zero at the lowest point of its swing.
By shorten the string of the pendulum