= Experiment G1 Lab Report RESULTS Use g = 10 m.s2 and p = 103 kg.m-3 in the calculation of the pressure difference, Ap

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: Experiment G1 Lab Report Results Use G 10 M S2 And P 103 Kg M 3 In The Calculation Of The Pressure Difference Ap 1 (187.79 KiB) Viewed 53 times

: Experiment G1 Lab Report Results Use G 10 M S2 And P 103 Kg M 3 In The Calculation Of The Pressure Difference Ap 2 (147.37 KiB) Viewed 53 times

: Experiment G1 Lab Report Results Use G 10 M S2 And P 103 Kg M 3 In The Calculation Of The Pressure Difference Ap 3 (117.97 KiB) Viewed 53 times

: Experiment G1 Lab Report Results Use G 10 M S2 And P 103 Kg M 3 In The Calculation Of The Pressure Difference Ap 4 (170.12 KiB) Viewed 53 times

= Experiment G1 Lab Report RESULTS Use g = 10 m.s2 and p = 103 kg.m-3 in the calculation of the pressure difference, Ap = pgAh. Note that MKS units must be used throughout the calculations. Tube No 1 Tube No 2 3 readings 3 readings t = 1 = t = 1% Ah (m) V (m).10-6 Ap 2 (Pa.m-1) (m?.5-4) Ah (m) V (m3).10-6 Ap Z (Pa.m-1) (m?.5-1 ) 0,01 53 0,04 48 0,02 92 0,06 59 0,03 125 0,08 67 Tube No 3 3 readings t = 1%3D Ap 1 (Pa.m ) V (m?).10-6 Ah (m) 0,12 (m3.s-4) 97 0,14 103 0,16 125

ANALYSIS Ap a) Plot on the same set of axes the values of flow rate against pressure gradient for each of the three tubes. Make sure that your largest -P and your largest values can be plotted on your graph. Ap To make it easier to plot the points, it is a good idea to use the same power of 10 for all the values, Ap and the same power of 10 for all the ap values, when entering values into the tables. V t Each set of points should fall on a straight line passing through the origin. Explain why this is so. In practice the points for larger pressure gradients lie on curves with lower flow rates. This is because at large pressure gradients the water is accelerated at the entrance to the tube, and less energy is available to do work against the viscou forces. Draw straight lines passing through the origin and the lowest flow rate point for each tube. Explain why the line for the largest tube has the largest slope. b) Calculate the slope of the line for tube no. 3 (r = 0,9 mm), and from it calculate the viscosity of water. Slope of line = Viscosity of water n = HHH

Verification of the power of r c) Assume that the power of r is some unknown value a, and then equation (G1.1) can be written V_ar4 Ap (G1.2) 8ηι If G represents the slope of each line in the previous graphs, then t V G t Ap 1 (G1.3) And from equation (G1.2) we can write nr 4 G= (G1.4) 8η Show that a straight line should be obtained if log G is plotted against log r. G (1.5) - Explain how the value of a can be determined from this graph.

Calculate the slopes of the straight lines you drew in the previous graphs and complete the following table. Radius r (m) logr log G Plot a graph of log G against log r and calculate its slope using equation (G1.5). Slope of line = Has this value of the slope confirmed the power of r in Poiseuille's equation? Conclusions (i) What do you conclude from part (a) of your experiment? (ii) How does the value of n determined by you in part (b) compare with the value in your textbook? (iii) If the power of r predicted by you in part (c) differs significantly from 4, can you suggest why? (iv) Why is the graph in part (c) not a suitable one to use to determine n?