The period (T) of a pendulum whose string has a length (L) is given by the equation:
[tex]T=2\pi\sqrt{\frac{l}{g}}[/tex]
Where g is the gravitational acceleration on the surface of Earth:
[tex]g=9.81\frac{m}{s^2}[/tex]
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:
[tex]T=2\pi\sqrt{\frac{l}{g}}[/tex]
