Answer:
To calculate acceleration due to gravity using a pendulum, you need to measure the length of the pendulum in meters and the average period of the pendulum's swing in seconds. Once you have these measurements, you can use the following formula to calculate acceleration due to gravity:
g = 4π^2L/T^2
where g is the acceleration due to gravity, L is the length of the pendulum in meters, and T is the average period of the pendulum's swing in seconds.
For example, if the length of the pendulum is 1 meter and the average period of the pendulum's swing is 2 seconds, the acceleration due to gravity would be calculated as follows:
g = 4π^2(1)/(2)^2 = 4π^2/4 = π^2 = 9.87 m/s^2
Therefore, the acceleration due to gravity on Earth would be approximately 9.87 meters per second squared.