(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

Area of rectangle= side A *side B

Density of a sphere= mass/(4/3piR^3)

tan(θ)=opp/adj

Resistance= R=V/I

3. 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+sec^{2}(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 (dl^{2})W^{2}+(dw^{2})L^{2}? I'm kinda confused which formula is the general formula for uncertainty propagation.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Error Propagation Formulas

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