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~Sam~
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Homework Statement
What are the uncertainty propagation formulas for:
Area of a rectangle
Density of a sphere
Height of an opposite side wall calculated by tan(θ)=o/a
Resistance
Homework Equations
Area of rectangle= side A *side B
Density of a sphere= mass/(4/3piR^3)
tan(θ)=opp/adj
Resistance= R=V/I
The Attempt at a Solution
Rectangle I have: A=LW
dA=dlW+dwL
dl and dw are the relative uncertainty of L and W by instrument.
Sphere: I have dp=(3 dm/4piR^3)+(3m/12piR^2dr)
dm and dr are uncertaintities of mass and radius
For heigh: do= tan(θ)da+sec2(θ)a*dtan(θ)
da and dtan(θ) are the relative uncertainties
For resistance: dR= 1dV/I+ VdI/1
If these are correct would I use a sum formula like u(c)= sum of all squares? or would I separate the partial derivatives from the uncertainties and then square and sum like (dl2)W2+(dw2)L2? I'm kinda confused which formula is the general formula for uncertainty propagation.
Homework Statement
Homework Equations
The Attempt at a Solution
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