Measurement of Gravity (Simple Harmonic Motion)

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SUMMARY

The discussion focuses on calculating the acceleration due to gravity (g) using the slope of a graph derived from the equation T^2 = (4 pi^2 e1 / g) - (4 pi^2 e0 / g). Given a gradient of 4.041 s².m⁻¹, the formula g = 4*pi²/m is applied to determine g. The final value for g, calculated to three significant figures, is essential for understanding simple harmonic motion in physics.

PREREQUISITES
  • Understanding of Simple Harmonic Motion (SHM)
  • Familiarity with the equation T^2 = (4 pi^2 e / g)
  • Basic graphing skills for plotting T^2 vs. e1
  • Knowledge of significant figures in scientific calculations
NEXT STEPS
  • Research the derivation of the formula T^2 = (4 pi^2 e / g)
  • Learn about the relationship between gradient and physical constants in SHM
  • Explore the concept of spring constant and its relevance in SHM
  • Study how to accurately plot and interpret graphs in physics experiments
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and simple harmonic motion, as well as educators looking for practical examples of calculating gravitational acceleration.

KillerQueen20
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Homework Statement



If the slope of your gradient turns out to be 4.041 s^2.m^-1 then what value would you obtain for g? State your answer in m.s^2 and to 3 significant figures.

Homework Equations



T^2 = (4 pi^2 e1 / g) - (4 pi^2 e0 / g)

This is the one I'm supposed to use. Other ones given are...

T^2 = (4 pi^2 e) / g

e = e1 - e0

The Attempt at a Solution



I have no idea what I'm supposed to be doing. Graph is T^2 vs. e1
I did, however, look on the internet. There is a lot of stuff about a spring constant, but that's not mentioned anywhere on my sheet. Values are different and I can't get my head around it properly.

Thanks for your help =)
 
Physics news on Phys.org
The gradient m is supposed to be T^2/e1.
Now g = 4*pi^2*e/T^2 = 4*pi^2/m
 

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