Question

8) Uncertainty Analysis Hagen-Poiseuille equation (shown below) is used to experimentally determine the velocity of a fluid using a capillary viscometer. This experiment consists of measuring the flow rate of a fluid of unknown viscosity through a tube and recording pressure drop and volumetric flow rate 8OL Where: ??s viscosity L is pressure drop Pal R is tube radius m [om cm Q is volumetric flow rate is tube length 1cm For this experiment, you record pressure drop from a manometer, and measure tube dimensions. To find the value for volumetric flow rate, you collect the fluid in a graduated cylinder, and record the time (t) required for a set volume (Q) to flow through the tube Data Tube dimensions R-.075 ± .001 cm (measured) L= 50±.001 cm (measured) Ap 482900 100 Pa (manometer specs.) Pressure drop V= 464 0.5 cm2 (half least count) t= 14.5 ± 0.02 s (measured) Volumetric flow rate experiment: a) What is the volumetric flow rate, and the uncertainty in the volumetric flow rate measurement? b) What is the fluid viscosity, and what is the uncertainty in the viscosity measurement?

Answer 1

S 0.03 Tu Tb) 二0.0025