Question

calculate it assuming that all variables have uncertainty

Calculate δμο,

Answer 1

Here, the variables are m_z, N, I and a.

When 3 variables A,B and C are connected by multiplication or division to give D,

for example,

D = AB/C,

The uncertainty in D is given by the equation

δDD= (δAA)2+(δBB)2+(δCC)2

c) + +ਟ =

Where

$\delta A$ is the uncertainty in A

$\delta B$is the uncertainty in B

$\delta C$is the uncertainty in C

The squares are added up, irrespective of whether they are multiplied or divided. If a term is squared in equation, that term in uncertainty doubles.

Here, the equation is

μ0,z= 2mzNIa2

2mg Jos = Nla?

So,

δμ0,z= μ0,z*(δmzmz)2+(δNN)2+(δII)2+2*(δaa)2

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