Calculating errors (propagation)

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The discussion focuses on calculating the value and error propagation for the equation Z = 2AB²/C, with specific values A = 100, B = 0.1, and C = 50. The errors associated with these variables are ±0.1 for A, ±0.005 for B, and ±2 for C. The calculated value of Z is 0.04, and the user seeks guidance on how to incorporate the errors into the final result, aiming for a format of (0.04 ± X.XX). The key takeaway is the understanding that error propagation involves determining the range of possible values for Z based on the uncertainties in A, B, and C.

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Completely new to the concept of errors and don't know how to approach this...

Calculate value and error in Z

Z= 2AB^2/C


Where
A= 100 Error in A= +/- 0.1
B= 0.1 Error in B= +/- 0.005
C= 50 Error in C= +/- 2


Plugging in the numbers Z= 0.04

How do you carry the errors over into the equation? I think the answer is suppose to look like (0.04 +/-X.XX)..

Thanks for any help..
 
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As I understand it, the error is simply the widest possible range the value of Z could have. This is all I will say.
 

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