Archimedes Principle

Question

Please help! I just do not even know what I'm doing, and currently waiting for tutors to respond to work with me one on one.  

 

An unknown fluid could be determined from

 

ρ_fl=(T-T'')/(T-T') * ρ_w

 

Assume that all of the tensions (T, T',T'') were measured and ρ_w is a known constant.  Give a valid expression for the uncertainty of ρ_fl

Thanks in advance!

Answer 1

I'm assuming you are familiar with partial derivatives and differentials? You use the differential dρ to approximate the error δρ. It is

 

dρ = (∂ρ/∂T) dT + (∂ρ/∂T') dT' + (∂ρ/∂T'') dT''

 

Now just compute the three partial derivatives and substitute in! :)