What's the relation between amplitude and time period in shm
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The period of a wave is the time it takes to complete one cycle. The frequency is just the opposite; it's the number of wave cycles that are completed in one second. Amplitude and wavelength are both measures of distance. The amplitude measures the height of the crest of the wave from the midline.
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Frequency is the number of oscillations or revolutions per second. Think of frequency as how many times a body moves back and forth, like a moving pendulum. Going from start to end and back to start again counts as one oscillation, or back and forth movement. That’s why the unit of frequency is revolutions/oscillations per second, which is given the name of Hertz (Hz).
Amplitude is the maximum displacement of a body or particle from the center during an oscillation. Think of the pendulum again, the amplitude is the maximum side position at which the pendulum stops for an instant and then falls back to the middle. The amplitude is basically how far something can go when it is oscillating. Once the object reaches its amplitude, it has to come back to the center. The amplitude is how far the object moves from the center and it has the unit of displacement (think of it as distance), which is meter (m).
You can think of frequency as how fast the pendulum is moving back and forth, a higher frequency means it’s moving faster. Then, amplitude is how far the pendulum is able to reach when it moves back and forth.