Question

Which formula correctly gives the acceleration due to gravity using a simple pendulum, where L is the length and T is the time period?

Options

• g = \[\frac {2πL}{T^2}\]

• g = \[\frac {4π^2L}{T^2}\]

• g = \[\frac {4πL}{T}\]

• g = \[\frac {π^2L}{T^2}\]

Answer 1

g = \[\frac {4π^2L}{T^2}\]

Explanation:

This formula is derived from the time period equation T = 2π\[\sqrt {L/g}\]. Squaring and rearranging gives g = \[\frac {4π^2L}{T^2}\]​, which allows us to experimentally determine gravitational acceleration by measuring L and T.