Solving a Complex Equation: Finding wasym with Error

AI Thread Summary
The discussion revolves around calculating the value of wasym using the equation wasym=sqrt[wo2+gb/2L(L-b)], with given values for L, b, g, and wo. The user obtained a value of 4.25 rads^-1 but is unsure how to calculate the associated error, which is stated to be 6.53%. Error propagation methods are suggested as essential for this calculation, emphasizing the need to apply formulas for error analysis related to addition, subtraction, and powers. The user seeks clarification on how to derive the 6.53% error from their calculations. Understanding error propagation is crucial for accurately determining wasym and its uncertainty.
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Homework Statement



i am given an equation like this wasym=sqrt[wo2+gb/2L(L-b)]

where L=60.7 ± 0.4cm and b=L/5
g=9.789 ms^-2
wo=4.001 ± 0.004 −1
and i am told to find the value for wasym

i get for my 4.25 rads-1 but i don't know how to calculate the error on the back of my textbook it says the answer is 6.53%

with the following working
sqrt[0.1%^2 ( 0) + 6.5%^2 ( ) + 0.66%^2 ( )] = 6.53 % i don't understand how they got the answer any help would be appreicated

Homework Equations





The Attempt at a Solution


 
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Do you have any knowledge of error analysis? Surely if you're being asked this question, you already learned about error propagation and had various formulas for addition, subtraction, powers, etc?
 

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