Question

Please explain the relation and show your point using formulas.

Answer 1

The period (T) of a pendulum whose string has a length (L) is given by the equation:

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

Where g is the gravitational acceleration on the surface of Earth:

`g=9.81(m)/(s^2)`

As we can see, in the expression for the period T, neither the elevation angle or the mass of the pendulum play a role.

Therefore, the relations are:

- Period vs Elevation angle: The period does not change when the elevation angle changes.

- Period vs. Mass attached: The period does not change when the mass attached changes.

- Period vs. Length of the pendulum string: The period depends on the square root of the length of the string according to the expression:

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