a) For a viscous fluid flowing through a pipe of length I, radius r with pressure difference P, and P, between the ends.
Posted: Thu May 05, 2022 5:40 pm
a) For a viscous fluid flowing through a pipe of length I, radius r with pressure difference P, and P, between the ends. The volume flow per unit time t V is given by: t V = (P₁-P₂)74 8nl The following results were obtained. To reduce errors the radius was measured four times. P₁= 1.150 ± 0.005) x 10³ Pa. P₂ = 1.000 0.005) x 10³ Pa. r= (0.43, 0.44, 0.46, 0.47) mm. 1 = (5.7 0.1) cm. V = (10 = 0.1) cm³ t = (6.0+ 0.1) s. i) Calculate the absolute error in the pressure difference. ii) Calculate the percentage error in the pressure difference. iii) Calculate the absolute error in the radius of the pipe. iv) Calculate a value for n. v) Derive the SI units of n. vi) Calculate the absolute error in n. [2 marks] [2 marks] [4 marks] [3 marks] [2 marks] [7 marks]