Question

You are tasked with determining the uncertainty in the mass flow rate of a liquid flowing through a pipe. You are able to measure the density of the fluid by collecting 1L of the fluid in a graduated cylinder with markings every 10mL, and weighing the fluid on a scale with uncertainty of ± 1 g by excluding the weight of the cylinder itself (density = mass/volume). You find the weight of the fluid to be 789g. You measure the diameter of the pipe with a set of calipers, and get 9.53 ± 0.01 cm. The velocity can be measured directly with an uncertainty of ±5% of the reading. (The mass flowrate in a constant cross-section pipe is equal to: ml-pAcu, where ρ is the fluid density, Ac is the cross- sectional area of the pipe, and v is the average fluid velocity. Determine 1. a. (Spts) The density of the fluid in kg/m3, and the uncertainty in the density. Also find the cross-sectional area Ac in m2, and the uncertainty in the area using the function discussed during the lab demo ( 1. e. if F(x1, X2, xn), then ΔF = aF

Answer 1

Page No.: pa Density CTI ithe kluid MAM = 789 tc> : o ol 3 x IOD= t-o י13 :/ 4 AZ 0.15 cm12

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