Question

Draw the curve for determining the value of g using compound pendulum.

Answer 1

Given that,

Acceleration due to gravity = g

Time period :

Time period is defined as,

`T = 2\pi\sqrt{(l)/(g)}`

Where, l = length of pendulum

g = acceleration due to gravity

We need to calculate the value of g

Using formula of time period

`T=2\pi\sqrt{(l)/(g)}`

`g=(4\pi^2l)/(T^2)`

Where, T = time period

l = length of pendulum

Hence, The value of g is
`(4\pi^2l)/(T^2)`