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Homework Help Forum: PHYSICS
Posted by RAYMOND on Thursday, September 10, 2009 at 11:32pm.
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As you eat ur way thru a bag of cookies, you observe each cookie is a circular disk of diamter 8.50+ or - 0.02 cm and thickness 0.050+ or - 0.005cm. Find the avg volume of a cookie and the uncertainty in the volume.
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- PHYSICS - drwls, Friday, September 11, 2009 at 2:43am
The average volume is (pi/4) D^2 T, where D and T are the mean diameter and thickness.
Assuming the variations in D and T are uncorrelated, the relative uncertainty in volume is
ln V = ln (constant*D^2*T)
dV/V = sqrt[(2 dD/D)^2 + (dT/T)^2]
= sqrt [(.005)^2 + (0.1)^2]
= 0.1
The volume uncertainty is almost entirely due to the thickness variation.
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