Question

How do you linearise the period of a pendulum formula?

This is long to ask but, how do you linearise the formula of the period of a pendulum where is satisfies the y=mx+c equation while identifying the corresponding components and how would you rearrange that expression for the gradient to give the expression for g as the function of m

Answer 1

`g = (4pi^2)/T^2 L`

Explanation:

Period of a simple pendulum is given by:
`T = 2\pi\sqrt(L/g)`
where `L` is the length of the pendulum and `g` is the acceleration due to gravity.

Writing `g` as a linear function:
`g = (4pi^2)/T^2 L`

`g` is linearly proportional to `L` with a slope of `(4pi^2)/T^2` and a y-intercept term of 0.

Not sure if this is what you're trying to answer. If you're looking for a derivation from an equation from motion, then let me know!