Calculating G: Simple Pendulum Experiment, problems?

In summary, the conversation discusses the need to experimentally calculate gravity with extreme precision using a Simple Pendulum. This is due to problems related to using an Atwood Machine. However, there are still some potential problems with using a Simple Pendulum, such as the impact of drag on the bob and string, the assumption of small angles in the equation, and the need to measure the length with the bob attached and in a vertical position to account for any changes due to temperature.
  • #1
SimonChen
1
0
I need to experimentally calculate gravity (g) with an extreme precision (+/-0,005). We thought about trying an Atwood Machine but too many problems were related to it so we've decided to switch to an Simple Pendulum (with a very long L). What are the problems related to the Simple Pendulum experiment?

Thanks!
 
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  • #2
1. You should not give it a large displacement because you'll be affected by drag on the bob and string.

2. Inherent in the sqrt(l/g) equation is the assumption that sin(theta)=theta for small angles.

3. Measure the length to the CG with the bob attached and in vertical position so that any elongation (due to load) on the string will be noted. This should be done at the start in case there are temperature changes affecting the length if tests are not done all in one session.
 

FAQ: Calculating G: Simple Pendulum Experiment, problems?

1. How do I calculate the value of G using a simple pendulum experiment?

To calculate the value of G using a simple pendulum experiment, you will need to measure the length of the pendulum, the period of its swing, and the acceleration due to gravity. Once you have these measurements, you can use the formula G = (4π²L) / (T²) to calculate the value of G.

2. Why is the length of the pendulum important in calculating G?

The length of the pendulum is important because it affects the period of its swing. The longer the pendulum, the longer it takes for one complete swing. This period is directly related to the value of G, so by measuring the length of the pendulum and the period of its swing, we can calculate the value of G.

3. What is the significance of using a simple pendulum in this experiment?

A simple pendulum is used because it follows a predictable motion, making it easier to measure its period accurately. It also has a single point of rotation, which eliminates any potential sources of error in the experiment.

4. What are some possible sources of error in this experiment?

Some possible sources of error in this experiment include air resistance, friction in the pivot point, and human error in measuring the period and length of the pendulum. It is important to minimize these sources of error as much as possible to obtain accurate results.

5. How does the value of G obtained from this experiment compare to the accepted value?

The value of G obtained from this experiment may vary slightly from the accepted value due to sources of error, but it should be close. If the value obtained is significantly different, it is important to carefully review the experiment and sources of error to identify and correct any mistakes.

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