Fluid Mechanics (CLB 11003) Chapter 3: Static fluid TUTORIAL 3 1. Define Pascal’s law. 2. What is difference between gage pressure and absolute pressure? 3. A vacuum gage connected to a chamber reads 24 kPa at a location where the barometric reading is 600 mm Hg. Determine the absolute pressure in the chamber (ρHg = 13,590 kg/m3). 4. The water in a tank is pressurized by air and the pressure is measured by a multifluid manometer as shown in Figure 1. Determine the gage pressure of air in the tank is if h1 = 0.2 m, h2 = 0.3 m and h3 = 0.46 m. Take the densities of water, oil and mercuries to be 1000 kg/m3, 850 kg/m3 and 13,600 kg/m3, respectively. Figure 1 5. Determine the pressure exerted on the surface of a submarine cruising 300 ft below the free surface of the sea. Assume that the barometric pressure is 14.7 psia and the specific gravity of sea water is 1.03 (ρwater at 32°F is 62.4 lbm/ft3). 6. What are the values of P(x), PA(y) and PB(z) as shown in Figure 2? P = PA PA = 90 kPa gauge Local atmospheric pressure PA = (y) kPa abs abs PB = (z) kPa g P = (x) kPa g = 101 kPa abs P = PB Patm = 101 kPa abs PB = 51 kPa abs Absolute Zero Figure 2 P = 0 Pa 6m. ρ D A h2 h1 B C Manometric Fluid Density.56) Figure 4 9. If the fluid in the pipe has a relative density of 0. A U-tube manometer containing mercury of density 13600 kg/m3 is used to measure the pressure drop along a horizontal pipe. what is the pressure difference measured by the manometer? Figure 5 .8 and the manometer reading is 0.0m and hmercury = 0. What is the gauge pressure at the bottom of the tank? (Relative density mercury = 13. Show that the pressure at point A can be expressed as: PA = ρmangh2 – ρPgh1 Fluid P Density.43 m.Fluid Mechanics (CLB 11003) Chapter 3: Static fluid 7. ρman Figure 3 8. The pressure at the bottom of a tank of water is measured with a mercury manometer where hwater = 3. Figure 8 . 13. water and mercury to be ρsea = 1035 kg/m3 and ρHg = 13.6.88. Define buoyancy. Determine the pressure difference between the two pipelines. The specific gravities of ice and seawater are 0. determine the height of the ice block below the surface. P1 P2 Figure 6 11. SGwater = 1 and SGair = 0. Determine the tension in the rope of the crane due to a 3 ft diameter spherical steel block (density = 494 lbm/ft3) when it is (a) suspended in the air and (b) completely immersed in water (density = 62. Take the densities of seawater.0118 Figure 7 12. Consider a large cubic ice block floating in seawater. 14. SGHg = 13. Fresh and seawater flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer as shown in Figure 6. respectively. A crane is used to lower weights into a lake for an underwater construction project.82. Determine the pressure difference between points A and B in Figure 7 (SGbenzene = 0.025. SGkerosene = 0.92 and 1.600 kg/m3.Fluid Mechanics (CLB 11003) Chapter 3: Static fluid 10.4 lbm/ft3). If a 10 cm high portion of the ice block extends above the surface of the water.