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Suppose that it takes a simple pendulum 1.2 seconds to swing from its leftmost point to its rightmost point. what is the period of the pendulum

Sagot :

The time period of the simple pendulum is 2.4 seconds.

Given the data in the question;

  • Time taken to swing from leftmost point to rightmost point; [tex]t = 1.2s[/tex]
  • Period of the pendulum; [tex]T = \ ?[/tex]

What is Period?

Period is the time needed for a complete cycle of vibration to pass a given point.

Period of a pendulum is the of time needed for it to complete one full back-and-forth motion. It is the time required to for the pendulum to swing from leftmost point to rightmost point and back to leftmost point.

Now, if it took the pendulum [tex]1.2s[/tex] to swing from leftmost point to rightmost point, it will also take the pendulum [tex]1.2s[/tex] to swing back to its original position( leftmost point )

Hence,

[tex]T[/tex] = time taken to swing from leftmost to rightmost + time taken to swing from rightmost point to leftmost point.

[tex]T = 1.2s + 1.2s\\\\T = 2.4s[/tex]

Therefore, the time period of the simple pendulum is 2.4 seconds.

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