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6-14 The hemispherical howl of mass m is held in equilibrium by the vertical jet of water discharged through a nozzle of diameter d. If the volumetric flow is Q, determine the height h at which the howl is suspended. The water density is pW.
6-43. A plow located on the front of a truck horizontally scoops up a liquid slush at the rate of 0.55 m3/s and throws it off vertically, perpendicular to its motion, i.e., theta = 90 degrees. If the truck is traveling at a constant speed of 5 m/s, determine the resistance to motion caused by the shoveling. The density of the slush is Ps = 1150 kg/m3.
1. An airplane is flying at an altitude of 10,500 m. Determine the gage pressure at the stagnation point on the nose of the plane if the speed of the plane is 450 km/h. How would you solve this problem if the speed were 1050 km/h? Explain.
2 The water pressure in the mains of a city at a particular location is 270 kPa gage. Determine if this main can serve water to neighborhoods that are 25 m above this location.
1. In a hydroelectric power plant, water enters the turbine nozzles at 800 kPa absolute with a low velocity. If the nozzle outlets am exposed to atmospheric pressure of 100 kPa. determine the maximum velocity to which water can be accelerated by the nozzles before striking the turbine blades.
2. A Pitot-static probe is used to measure the speed of an aircraft flying at 3000 m. If the differential pressure reading is 3 kPa, determine the speed of the aircraft
3. A piezometer and a Pitot tube are tapped into a 4-cm-diameter horizontal water pipe, and the height of the water columns are measured to be 26 cm in the piezometer and 35 cm in the Pitot tube (both measured from the top surface of the pipe). Determine the velocity at the center of the pipe.
1. A desktop computer is to be cooled by a fan whose flow rate is 0.30 m3/min. Determine the mass flow rate of air through the fan at an elevation of 3400 m where the air density is 0.7 kg/m3. Also, if the average velocity of air is not to exceed 95 m/min, determine the minimum diameter of the casing of the fan. Answers: 0.00350 kg/s, 0.0634 m.
2. Air can a nozzle steadily at 2.21 kg/m3 and 20 m/s and leaves at 0.762 kg/m3 and 150 m/s. If the inlet area of the nozzle is 60 cm2, determine (a) the mass flow rate through the nozzle, and (b) the exit area of the nozzle. Answers: a) 0.265 kg/s, (b) 23.2 an'
1. A 0.75-m3 rigid tank initially contains air whose density is 1.18 kg/m3. The tank is connected to a high-pressure supply line through a valve. The valve is opened, and air is allowed to enter the tank until the density in the tank rises to 4.95 kg/m3. Determine the mass of air that has entered the tank. Answer: 2.83 kg
2. Consider the flow of an incompressible Newtonian fluid between two parallel plates that are 4 mm apart. If the upper plate moves to the right with u1 = 5 m/s while the bottom one moves to the left with u2 = 1.5 m/s, what would be the net flow rate at a cross-section between two plates? Take the plate width to be 5 cm.
1. If the velocity of water changes uniformly along the transition from VA = 10 m/s to VB = 4 m/s. determine the pressure difference over the distance x.
2. Air is pumped into the top of the tank so that the pressure at B is 40 kPa. Determine the discharge of water through the drainpipe when h = 5 m.
1. A fountain is produced by water that flows up the tube at 0.08 m3, and then radially through two cylindrical plates before exiting to the atmosphere. Determine the velocity and pressure of the water at point A.
2. Water flows through the 30-mm-diameter ripe at 0.002 m3/s and is ejected from the 10-mm-diameter nozzle at B. Determine the velocity and pressure of the water at point A.
3. Water flows through the transition at 0.3m3/s, which causes the water to rise within the piezometer at A to a height of hA = 350 mm. Determine the height hB.
Sievert is the si unit for?
1. Water flows into the rectangular tank through pipes A and B, with velocities of 4 m/s and 2 m/s, respectively. Determine the rate at which the surface of the water is rising. Ignore the effect of gravity on the falling water.
2. The water in the cylindrical storage tank is being drained using a pump. If the water is pumped out of the tank at 0.2 m3/s, determine the rate at which the level in the tank is descending.
1. The unsteady flow of glycerin is such that at A it has a velocity of VA = (5t1/2) m/s, where t is in seconds. Determine the acceleration of a fluid particle located at x = 0.3 m when t = 1 s. Hint Determine V = V(x,t), then find the material derivative.
2. The cylindrical plunger traveling at VP = (0.004t1/2) m/s, where t is in seconds, injects a liquid plastic into the mold to make a solid ball. If d = 50 min, determine the amount of time needed to do this. The volume of the ball is V = 4/3(pi)(r3).
3..The cylinder is pushed down into the tube at a rate of V = 5 m/s. Determine the velocity of the liquid as it rises in the tube.
