So, to derive this formulaįor the period of a pendulum, you would need calculus. Of that pendulum and the environment that it's in. The period of a simple pendulum depends on the characteristics 5 seconds, but the period of every simple pendulum is not gonna be. So, the time it takes to swing from here all the way to there, all the way back to here, would be one full period. Is the time it takes to complete one full cycle. Now, every simple harmonic oscillator has a characteristic period of motion. Initially by 15 degrees, you might get a graph that So, in other words, if you are to pull this back Its angle as a function of time would be accurately describedīy a sine or a cosine graph. And because this simple pendulum is a simple harmonic And if you are to pull this mass, sometimes it's called a pendulum bob, if you are to pull itīack and then let go, gravity would act as a restoring force and this mass would swingīack and forth over and over. So, a simple pendulum is just a mass hanging from a string.
