Question

What is the length of a pendulum that swings back and forth with a frequency of 2.5 Hz?

Answer 1

Use the formula : \(\large{\boxed{\sf{T = 2\pi \sqrt{\cfrac{L}{g}}}}}\)

T is the time period of the Pendulum
L is the Length of a pendulum
g is the acceleration due to gravity which can be taken as \(\sf{9.8 ms^{-2}}\)
\(\pi\) is constant which is equal to 3.14

*Time period is the reciprocal of Frequency.*

\(T = \cfrac{1}{\nu}\)

You are given with Frequency (\(\nu\)) = 2.5 Hz

Find T and then put the values in the first formula.

Answer 2

Then you can find the Length of a pendulum !