Calculate Gravity Using Pendulum Experiment

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To calculate gravity using a pendulum experiment, the period (T) of the pendulum is given by the equation T = π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. It is recommended to use the longest string possible to minimize the amplitude of oscillation, ensuring the approximation holds true for small angles. Conducting the experiment with different string lengths can provide more data, but maintaining a constant length may simplify the process. The accuracy of the results depends on adhering to the conditions of small oscillations. Further questions can be addressed as the experiment progresses.
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Alright so here’s the problem. In lab we are supposed to come up with a way to figure out gravity using an experiment. The experiment that I came up with is to use a pendulum and find its period and then calculate the gravity. I know this is possible but I don’t know the equations. If anyone can help me out with the equations for this type of problem it would be much appreciated. Also, would it be better to do a few different string lengths or keep the string length constant?
 
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Effitol840 said:
Alright so here’s the problem. In lab we are supposed to come up with a way to figure out gravity using an experiment. The experiment that I came up with is to use a pendulum and find its period and then calculate the gravity. I know this is possible but I don’t know the equations. If anyone can help me out with the equations for this type of problem it would be much appreciated. Also, would it be better to do a few different string lengths or keep the string length constant?

The period of a simple pendulum is

T=\pi \sqrt{ \frac{L}{g}}

With L being the length of the pendulum.

I would use the longest string you possibly can.
 
Remember, that expression,

T=\pi \sqrt{ \frac{L}{g}}

is an approximation and is accurate only for small oscillations, where sin\theta \approx \theta

That's why you should use as long a string as possible, so as to keep the amplitude of oscillation as small as possible.
 
Thanks... I need to run the expirement again. If I have any more questions I'll be sure to ask.
 
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