Percentage Uncertanty and youngs modulus

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Homework Help Overview

The discussion revolves around calculating the percentage uncertainty in the variable \(d^3\) as part of a problem related to Young's modulus. Participants are examining how to approach the propagation of uncertainty given specific measurements and their uncertainties.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the percentage uncertainty for the thickness of the strip and expresses confusion about extending this to \(d^3\). Some participants suggest considering the implications of the power in the equation for Young's modulus.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of how to apply percentage uncertainty in the context of a cubic relationship. Some guidance has been offered regarding the multiplication of uncertainties, but no consensus has been reached.

Contextual Notes

The original poster has provided specific measurements and their uncertainties, which are central to the discussion. There is an emphasis on understanding the propagation of uncertainty in the context of the given formula for Young's modulus.

pandit bandit
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Homework Statement



hi there! I am new to this forum and was just wondering if anyone could help with this question on percentage uncertainty. I am supposed to find the percentage uncertainty in d^3

the info given is
mass attached to the end of a strip= 0.1 (+-0.001)kg
the width of the strip = 12.6 (+- 0.1)mm
the thickness of the strip= 0.66(+- 0.01)mm

Homework Equations


I am also given the equation for youngs modulus

E= 16pi^2 K^2 M/bd^3

The Attempt at a Solution



I worked out the percentage uncertainty of the thickness of the strip which was approx. 1.52% but am for completely lost:confused:

Thank You!
 
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so would i just simply multiply the percentage uncertainty by 3 as its d^3?
 
Sure, I'd buy that.
 

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