13.3 Measuring Pressure 1. A manometer is filled with liquid rock (? = 16,000 kg/m3) and has the levels shown. The right side of the manometer is open to the atmosphere. What is Pgas, the pressure inside the closed chamber? 3. A barometer contains two fluids. The bottom fluid has a density of 12,000 kg/m3 while the second has a density of 10,000 kg/m3. One atmosphere of pressure results on the fluid on the outer plate. What is h2, the height of the 2nd fluid? 2. A manometer contains 2 fluids. The dark gray fluid has a density of ? = 13,000 kg/m3 while the lighter fluid on the left side of the chamber has a density ?2 = 4,000 kg/m3. The right side of the manometer is open to the atmosphere. What is Pgas, the pressure inside the closed chamber? 13.4 Buoyancy 1. Straight-forward A 0.5 m x 0.5 m x 0.5 m wood block with density ? = 600 kg/m3 floats on water. What is the magnitude of the buoyant force FB acting on the block? Hint: Don't use the bouncy formula FB = ?Vg. If an object is floating, what do we know about the relationship between its weight and the buoyant force? 2. A 0.0025 m3 ball with a mass of 4.0 kg is suspended in water (? = 1000 kg/m3) by a string. The object is completely submerged. What is the tension in the string? 3. A solid wood barge which density ? = 500 kg/m3 floats on water. It has dimensions 5 m x 4 m x 1 m, with the 1 m side being the height of the barge. How far up the side of the barge does the water rise? 13.5 Moving Fluids Use Q = vA and v1A1 = v2A2 to solve these problems. 1. Straight-forward Water flows at a rate of 5 m/s through a 0.5 m radius circular pipe. What is the volume flow rate Q of the water in m3/s? 2. Water flows through a 1.2 m diameter tube at a velocity of 10 m/s. The tube widens to a 2.2 m diameter tube. What is the speed of the fluid in this latter part of the tube?
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Step 1: Write the equation for the forces on box 2: For box 2, the equation of motion is \( t + n_2 - f_{g2} = 0 \). Show more…
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13.3 Measuring Pressure 13.4 Buoyancy 13.5 Moving Fluids
Adi S.
Water travels through a pipe (seen in the picture) from point 1 to point 2. The pipe descends h = 12.0 m vertically from point 1 to point 2. At point 1, the cross sectional area of the pipe is Atop = 0.800 m², and at point 2, the cross sectional area of the pipe is Ab = 0.500 m². The bottom of the pipe (Point 2) is open to the atmosphere, and the top of the pipe (Point 1) is at an unknown pressure (Ptop). You place a container below point 2 and find that a volume of water equal to Vol = 32.0 m³ falls into the container in t = 2.00 seconds. (The density of water is D = 1000 kgm⁻³, air pressure Patm = 1.0 x 10⁵ Pa.) a) Calculate the water speed at point 1 (v₁) with larger cross section area and the water speed at point 2 (v₂) with smaller cross section area. (Write the equation(s): 40%; numerical value(s): 10%) b) Calculate the water pressure in the pipeline at top of the pipe (Ptop). (Write the equation(s): 40%; numerical value(s): 10%)
0321 062014 On "Bruvaufuuri4 (UICA hc Wt nnsnun 4ph4"2 (0 273.15K) Suntnd condition for Ideal Gas & Auidurd <uaIkL Inule warm t7cuntct #Lnalurr (alunll Vlu Ihc units of the Ideal condition Wingt Tenalt Lunlnalc Oc afiricnpheres_ 774 Dis This E Inur IckanI number called the ideal gas constant There are different values for the absolute temperature depending on the units you use for pressure, volume, and temperature but we will use the one initially mentioned For each of the following situations determining how quantities in the ideal gas law change. Keep the initial ratio constant (Think in direct or inverse direction; twice, triple, half): (Consider if a gas is sealed in a constant volume container) If the temperature in Kelvin increases, what happens to the pressure? It also doubles 8 845 Tnnwh lcnky sLal (Vu ['constant) heated = let Kelvin temperature quadruples how does the amount of gas change? If the space in a cylinder in your car engine (T constant) is compressed by half of its volume, how does the pressure change? Assume the tire is filled with air at a constant pressure of 30 lb/in^2 and 18"C. The temperature drops 10"C; What is the new tire pressure assuming the volume of the tire does not change? Specify units in psi The value between two tanks, Tank 1 containing 5 moles of gas at 1 atm and Tank 2 containing 15 L of gas at 0 atm. What is the final pressure in the tanks? 10 How might we calculate the density of a gas (Mass V) and the relationship between moles of gas (n) and its mass (m)? Derive an equation A gaseous sample of a compound has a molar mass of 70 g/mol. What is the molar density of 0.977 g of this compound at 710 torr and a temperature of 273 K?
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