Calculating Gravity with Pendulum - Factors of influence

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Homework Help Overview

The discussion revolves around calculating the acceleration due to gravity using a pendulum, specifically focusing on factors that may influence the accuracy of the measurement. The original poster mentions using the formula T = 2π√(L/g) and has obtained an average gravity value of 9.53 m/s², which deviates from the expected 9.8 m/s².

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster discusses various factors that could affect the results, such as human reaction time, friction, air resistance, and weight distribution. They also question the impact of gravitational forces between the pendulum mass and the retort stand, as well as the elasticity of the string used. Other participants raise concerns about the applicability of the formula for larger angles and the precision of measurements taken during the experiment.

Discussion Status

Participants are exploring different interpretations of the factors influencing the pendulum's period and the resulting gravity calculation. Some have provided insights into the limitations of the formula used and the potential errors in measurement, but there is no explicit consensus on the most significant factors affecting the results.

Contextual Notes

There is mention of using larger angles for the pendulum's swing, which may affect the accuracy of the simple harmonic motion assumption. Additionally, uncertainties in measuring the pendulum's length and timing methods are noted as potential sources of error.

MassivePhysics
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Sorry if I fill any of this out incorrectly, this is my first post.

Homework Statement


Basically, we are told to calculate gravity with the use of a pendulum. Now, this part I understand, alter the length, record the period at each length, calculate averages and substitute these averages into the formula, T = 2pi sqrt (L/g)


Homework Equations


As stated above.


The Attempt at a Solution


I have obtained my average for gravity, which is 9.53m/s^2. But I need some clarification on a few minor things.

In my scientific discussion, I have said that:
-human reaction time
-Friction
-Air resistance
-Weight Distribution (of the mass on the end of the pendulum)

All play a part in the result for gravity not being 9.8, however there are a few things that I am tempted to include, but not too sure if they are correct.

1. The very, very, very small impact that the gravitation force between the metal mass on the end of the pendulum and the metal retort stand used to hold the pendulum has. I.e, this small gravitation field is slightly altering the course of the pendulum and as such slightly altering the period time.

2. The elasticity of the string (fishing line) used on the pendulum. Wouldn't there be a very small amount of elasticity which would be altering the length of the string throughout the course of its period?

Any help would be really appreciated.
 
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Remember the formula you mentioned to find out time period is only applicable for Pendulum performing Simple Harmonic Motion, that is, by undergoing (infinitesimally) small displacement. So, for Macro-displacements, the motion is no longer SHM and the formula is not very accurate.
 
I would assume that the reason free fall acceleration is so deviated is that the experiment was performed using large angles of swinging, up to about 15 degrees should have been good enough.

You could include that the length of the pendulum may not have been measured precisely, also the uncertainty in your timekeeping device.

Also, the larger angle you use the faster speed pendulum bob obtains, since the force of air resistance is proportional to the square of the speed, that influenced the period slightly.
 
MassivePhysics said:
1. The very, very, very small impact that the gravitation force between the metal mass on the end of the pendulum and the metal retort stand used to hold the pendulum has. I.e, this small gravitation field is slightly altering the course of the pendulum and as such slightly altering the period time.
Much too small to be of interest.
 
How did you measure period? Did you time one swing, or time ten swings and divide by ten? If you used multiple swings, mis-counting happens sometimes.
 

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