Question

Describe the experiment simple pendulum to find the value of acceleration due to gravity

Answer 1

Hint: While seeing the question we have to keep in mind that the concept of acceleration. Acceleration due to gravity is defined as the free-fall acceleration of an object in a vacuum.
This is caused by gravitational attraction.

Complete step by step answer:
The gravitation due to gravity can be found using a simple pendulum experiment. In a simple pendulum experiment, a pendulum is suspended from fixed support that can swing freely back and forth.
If T is the time period of the oscillation of the pendulum
Then, T is given by,
\[T=2\pi \sqrt{\dfrac{l}{g}}\]
Where l is the length of the pendulum and g is the acceleration due to gravity
\[g=4{{\pi }^{2}}l/{{T}^{2}}\]
Steps of the experient
Measure the length of the pendulum from the middle of the pendulum to the support.
After setting the pendulum to oscillation, measure the time taken for 30 oscillations.
Calculate the time period by using the following formula
Time period = Time taken for 30 oscillations / 30
Calculate g from T

Note:
For accuracy, the experiment can be repeated by changing the number of oscillations to 10, 20, 30, 40, and 50.
The mass and length of the pendulum can be varied for accuracy