Discovering G: Calculating Torsion Constant with Torsion Pendulum Experiment

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SUMMARY

The discussion focuses on calculating the modulus of rigidity (G) using a torsion pendulum experiment, with the formula C = (1/32L) * π * G * a^4, where C is the torsion constant, L is the length of the wire, and a is the diameter of the wire. Participants noted that typical values for G in metals are in the range of tens of gigapascals (10^9 Pa), contrasting with a reported experimental value of 300 Pa. The uncertainty in G is primarily influenced by the measurement of the diameter (a), as it is raised to the fourth power in the formula, necessitating precise measurements of both a and L.

PREREQUISITES
  • Understanding of torsion pendulum experiments
  • Familiarity with the modulus of rigidity (G) and its significance
  • Knowledge of error analysis and uncertainty calculation
  • Basic graphing skills for plotting experimental data
NEXT STEPS
  • Research methods for accurately measuring wire diameter (a) and length (L)
  • Learn about calculating uncertainty in experimental physics
  • Explore the relationship between torsion constant (C) and modulus of rigidity (G)
  • Investigate typical values of modulus of rigidity for various materials
USEFUL FOR

Students conducting experiments in physics, particularly those focused on material properties and torsion pendulum applications, as well as educators teaching concepts related to elasticity and rigidity in materials.

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Homework Statement



i did my experiment on torsion pendulum and there is a graph that i am supposed to draw ( C as a function of 1/L) where C is the tosion constant and L the length of the wire after that they give me a formula C=1/32L *∏*G*a^4 where G is called the modulus of rigidity and a is the diameter of the wire my purpose is to find G

Homework Equations


1) i just want to know the expected result of G because i got 300 Pa??
2) how to find the uncertainty of G ?
3) the unit of G is Pa right??


The Attempt at a Solution

i did the graph where i am supposed to make the uncertainty rectangles but the graph didnt work out too much for me especially that i repeated the experiment several times and i have the same answers ( with a small difference) so any suggestions
 
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It looks like yes to 3 but typical numbers for metal are 10's of giga Pa, 10E9 Pa see,

http://www.engineeringtoolbox.com/modulus-rigidity-d_946.html

from,

https://www.google.com/webhp?hl=en#...w.,cf.osb&fp=2ddf388403c0c5d8&biw=734&bih=439

For question 2 it looks like most error will come from a as it goes to the 4th power and it is most likely very small. What was a and to what fraction of an inch or mm did you measure, like wise for L.

I think your answer to 1 is way off, are your lengths in meters or mm? Pascals are Newtons per m^2.
 
so what i can see the number should be big
 

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