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The shear modulus, G, of an alloy can be determined by measuring the angular twist, θ, resulting from a torque applied to a cylindrical rod made from the alloy. For a rod of radius R and a torque applied at a length L from a fixed end, the modulus is found by G=2LT/pR4θ. Examine the effect of the relative uncertainty of each measured variable on the shear modulus. If during test planning all of the uncertainties are estimated to be 1%, what is the uncertainty in G?

The shear modulus, G, of an alloy can be determined by measuring the angular twist, θ, resulting from a torque applied to a cylindrical rod made from the alloy. For a rod of radius R and a torque applied at a length L from a fixed end, the modulus is found by G=2LT/pR4θ. Examine the effect of the relative uncertainty of each measured variable on the shear modulus. If during test planning all of the uncertainties are estimated to be 1%, what is the uncertainty in G?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The shear modulus, G, of an alloy can be determined by measuring the angular twist, θ,
resulting from a torque applied to a cylindrical rod made from the alloy. For a rod of radius R
and a torque applied at a length L from a fixed end, the modulus is found by G=2LT/pR4θ.
Examine the effect of the relative uncertainty of each measured variable on the shear
modulus. If during test planning all of the uncertainties are estimated to be 1%, what is the
uncertainty in G?

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