Q1 If the atmosphere is 50 km thick, and the atmospheric pressure at sea level is approximately 101 kPa, estimate the average air density in the atmosphere. 50 km
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- When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the weight of the sphere is balanced by the buoyant force and the frictional resistance of the fluid. Make a dimensional analysis of this problem and indicate how experimental data for this problem could be correlated. Neglect compressibility effects and the influence of surface roughness.A block of wood (SG = 0.6) fl oats in fl uid X in Fig.such that 75 percent of its volume is submerged in fl uid X .Estimate the vacuum pressure of the air in the tank.7.At ground level the atmospheric pressure is 101.325 kPaat 15 °C.Calculate the pressure at a point 6500 m above the ground, assuming (a) no density variation, (b) an isothermal variation ofdensity with pressure. Fluid Mechanics
- A block of wood (SG = 0.6) floats in fluid X such that 75 percent of its volume is submerged in fluid X. Estimate the vacuum pressure (in Pa) of the air in the tank. (Type only the magnitude).Derive an expression for the capillary height change h for afluid of surface tension Y and contact angle θ between twovertical parallel plates a distance W apart, as in Fig. What will h be for water at 20°C if W = 0.5 mm?A compressed-air tank holds 5 ft 3 of air at 120 lbf/in 2“gage,” that is, above atmospheric pressure. Estimate the energy, in ft-lbf, required to compress this air from theatmosphere, assuming an ideal isothermal process.
- Calculate the difference in pressure across an air bubble of diameter 0.001 m immersed in water? Surface tension = 0.072 N/m.A hemispherical container, 26 inches in diameter, is filledwith a liquid at 20 ° C and weighed. The liquid weight isfound to be 1617 ounces. ( a ) What is the density of thefluid, in kg/m 3 ? ( b ) What fluid might this be? Assume standardgravity, g = 9.807 m/s 2 .A balloon of spherical shape 6 m in diameter is filled with hydrogen gas at apressure of 1 bar absolute and 20°C. At a later time, the pressure of the gas is94% of its original pressure at the same temperature. What percentage of theoriginal mass must have escaped if the dimension of the balloon are notchanged?
- An oil drop has a density (?1) of (560+R) kg/m3. The terminal velocity of a spherical drop of thisoil falling in air at the room temperature is (15 + R) cm/s. At the room temperature, air density(?2) is 1.2 kg/m3and its viscosity is 18 μPa.s. Find the radius of the droplet. Consider g =9.81 ??A milkshake has fairly similar density to that of water (m s = 1200 kg/m3) but is far more viscous ( = 1kg/ms) (a) Say you try to drink a milkshake through a straw that is 30 cm long and 5 mm in diameter. Your lungs are capable of creating a vacuum pressure of 3000 Pa. (Vacuum pressure just means a pressure below that of the atmosphere, so plung = patm 3000 Pa.) You Önd that if you place the straw just at the surface of the liquid, you are unable to suck the milkshake through the straw, but if you push the straw deeper into the shake, you can. To what depth, d, would you need to push the straw in order to just start to sip the milkshake?(b) Suppose you push the straw to a depth of 10 cm and suck with a suction pressure of 3000 N/m2. What volume áow rate of milkshake can you produce through the straw5.What is the equivalent pressure in kPacorresponding to onemeter of air at 15 °C under standard atmospheric conditions? Fluid Mechanics