Question

explain how the frequency is related to the length of a pendulum and the amplitude of its oscillation​

Answer 1

Time Period = 2×pi × (length/ gravitational acceleration)^.5

And we know that frequency is inverse of time period

Therefore

This means that frequency: = 2×pi×(gravitational acceleration/ length)^.5

The period of swing of a simple gravity pendulum depends on its length, the local strength of gravity, and to a small extent on the maximum angle that the pendulum swings away from vertical, θ0, called the amplitude. It is independent of the mass of the bob.

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Answer 2

yes, if the length of the pendulum is longer then the area covered by the pedulum will be longer and the time period varies. So the longer the length of string shorter the frequency and shorter the length longer the frequency since time period of small lenght string is small.

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