The time period of a simple pendulum, called ‘seconds pendulum’, is 2 s. Calculate the length, angular frequency and frequency of the pendulum. What is the difference between a simple pendulum and a compound pendulum ?

A simple pendulum is a mass suspended from a fixed point, with the mass moving along a circular arc under the influence of gravity. The time period (T) of a simple pendulum is the time taken by the pendulum to complete one full oscillation, and it depends on the length of the pendulum and the acceleration due to gravity.

Given that the time period (T) of a simple pendulum is 2 seconds, we can use the formula for the time period of a simple pendulum:

T=2πLgT = 2\pi \sqrt{\frac{L}{g}}

Where:

• TT is the time period of the pendulum,
• LL is the length of the pendulum,
• gg is the acceleration due to gravity (approximately 9.8 m/s29.8 \, \text{m/s}^2).

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