b) The U-tube manometer can be used to determine pressure difference between two systems. This type of manometer is called a differential U-tube manometer. Consider the differential manometer connected to a pipe, as shown in Figure 1. Explain step by step on how you can calculate the pressure difference between point A and B.

Consider oil flowing through a horizontal pipe at a rate of 3 liter/s. There are two sections of the pipe with diameters 10 cm and 7 cm and the two sections are connected by a smooth reducing section as shown in the schematic. We use a manometer with glycerin as the manometer fluid (with glycerin density of Pglycerin 1,260 kg/m³) to measure the pressure difference between the two pipe sections. Assume that frictional effects are negligible and consider specific gravity of oil as SGoil = 0.76. What is the manometer reading, h (i.e. differential height of glycerin between the two arms of the manometer)? 10 cm I h T 7 cm-

Consider the U-tube manometer shown in the figure. Both ends of the U-tube manometer is open to atmospheric pressure. The left and right arm of the manometer has a cross-sectional area A1 = 8 cm2 and A1 = 4 cm2, respectively. The left figure illustrates the U-tube when mercury (ρHg =13.6 g/cm3) is poured into it. The right figure shows the U-tube manometer when 90.0 g of water is poured in the right arm. (a) Determine the length of the water column in the right arm of the manometer and (b) the distance h the mercury rise in the left arm of the manometer.

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