Measurement of Gravity (Simple Harmonic Motion)

AI Thread Summary
To calculate the value of gravitational acceleration (g) from the slope of the gradient, which is given as 4.041 s².m⁻¹, the formula g = 4π²/m can be applied. The relevant equations include T² = (4π²e1/g) - (4π²e0/g) and the relationship e = e1 - e0. The user expresses confusion regarding the application of these equations and the absence of a spring constant in their homework materials. Ultimately, the discussion centers on deriving g from the provided gradient and understanding the relationship between T² and e1. Clarification on these points is sought to resolve the confusion.
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 =)
 
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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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