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applied fluid mechanics
Applied Fluid Mechanics 7th edition Robert L. Mott, Joseph A. Untener - Solutions
If water at 180 F is flowing with a velocity of 4.50 ft/s in a standard 6-in Schedule 40 pipe, calculate the weight flow rate in lb/h.
A standard Schedule 40 steel pipe is to be selected to carry 10 gal/min of water with a maximum velocity of 1.0 ft/s. What size pipe should be used?
Figure 6.16 shows a fabricated assembly made from three different sizes of standard steel tubing listed in Appendix G.2. The larger tube on the left carries 0.072 m3/s of water. The tee branches into two smaller sections. If the velocity in the 50-mm tube is 12.0 m/s, what is the velocity in the
When 2000 L/min of water flows through a circular section with an inside diameter of 300 mm that later reduces to a 150-mm diameter, calculate the average velocity of flow in each section.
If the velocity of a liquid is 1.65 ft/s in a special pipe with an inside diameter of 12 in, what is the velocity in a 3-indiameter jet exiting from a nozzle attached to the pipe?
Calculate the diameter of a pipe that would carry 75.0 ft3/ s of a liquid at an average velocity of 10.0 ft/s.
If a pump removes 1.65 gal/min of water from a tank, how long will it take to empty the tank if it contains 7425 lb of water?
A furnace requires 1200 lb/h of air for efficient combustion. If the air has a specific weight of 0.062 lb/ft3, compute the required volume flow rate.
A large blower for a furnace delivers 47000 ft3/min (CFM) of air having a specific weight of 0.075 lb/ft3. Calculate the weight flow rate and mass flow rate.
A fan delivers 640 ft3/min (CFM) of air. If the density of the air is 1.20 kg/m3, compute the mass flow rate in slugs/s and the weight flow rate in lb/h.
After the refrigerant from Problem 6.31 flashes into a vapor, its specific weight is 12.50 N/m3. If the weight flow rate remains at 28.5 N/h, compute the volume flow rate.In ProblemA liquid refrigerant (sg = 1.08) is flowing at a weight flow rate of 28.5 N/h. Calculate the volume flow rate and the
Oil for a hydraulic system (sg = 0.90) is flowing at 2 .35 × 10-3 m3/s . Calculate the weight flow rate and mass flow rate.
Water at 10C is flowing at 0.075 m3/s. Calculate the weight flow rate and the mass flow rate.
A small metering pump delivers 19.5 mL/min of water to dilute a waste stream. Express this flow rate in m3/s.
A small metering pump delivers 11.4 gal of a water treatment chemical per 24 h. Express this flow rate in ft3/s.
A small pump delivers 0.85 gal/h of liquid fertilizer. Express this flow rate in ft3/s.
A certain deep-well pump for a residence is rated to deliver 745 gal/h of water. Express this flow rate in ft3/s.
Table 6.2 lists the range of typical volume flow rates for centrifugal fire-fighting pumps to be 500 to 2500 gal/min. Express this range in the units of ft3/s and m3/s. Flow rate (m³/h) Type of system (L/min) (gal/min) Reciprocating pumps-heavy fluids and slurries 0.90–7.5 15-125 4-33 0.60-6.0
Convert 8720 gal/min to L/min.
Convert 459 gal/min to L/min.
Convert 15000 L/min to m3/s.
Convert 4500 L/min to m3/s.
Convert a volume flow rate of 125 L/min to m3/s.
Convert 8720 gal/min to m3/s.
Convert 459 gal/min to m3/s.
Convert a volume flow rate of 3.0 gal/min to m3/s.
The diving bell shown in Fig. 5.2 weighs 72 kN and has a volume of 6.5 m3. Find the tension in the cable when the sub is(a) Hanging above the water,(b) Once the sub is lowered into the sea water. When released from the cable, will the bell tend to sink or float? Ship Buoy Diving bell Instrument
Work problem 5.73 again, but this time the camera is to sit atop the float, out of the water. What minimum diameter float is required for this arrangement? If the float is made of a larger diameter, what will happen? If the float is made of a smaller diameter, what would happen?In ProblemAn
An undersea camera (Figure 5.36) is to hang from a float in the ocean, allowing it to take constant video of undersea life. The camera is relatively heavy; it weighs 40 pounds and has a volume of only 0.3 ft3. It is to hang 2 ft below the float on a pair of wires, allowing it take video at this
A toy castle is to be molded from polyethylene to be used as a decoration in aquariums. Polyethylene has a specific weight of 9125 N/m3. Will it sink naturally or need to be weighted to stay at the bottom? Determine the required force to keep it in position if it is molded with 125 cm3 of
Does steel float? It has a specific gravity of 7.85, so certainly not in water, but look through the Appendix B and see if there is a fluid in which a solid steel cube will float. Explain.
Concrete is to be poured for a large foundation, but a round passageway is required through the concrete to carry utilities through it. A lightweight plastic tube will be placed horizontally in the empty form to keep this duct way open and then wet concrete (sg = 2.6) will be poured into the form
A scuba diver with wet suit, tank, and gear has a mass of 78 kg. The diver and gear displace a total volume of 82.5 L of sea water. The diver would like to add enough lead weights to become neutrally buoyant for a dive. How much lead (sg = 11.35) should be added to the weight belt to achieve
A hot air balloon is needed to lift a load with a mass of 125 kg from the earth’s surface. If the ambient air is 20°C and the air in the balloon can be heated to 110°C, determine the required diameter of the balloon if it is approximated to be a sphere. Also explain why the load is to be
A cylinder that is 500 mm in diameter and 2.0 m long has a specific weight of 535 N/m3. It is held down into position with a cable attached to the sea floor. At this location, the sea is 500 m deep and the cylinder is to be held in a fully submerged position just 3 m above the sea floor. Find the
Wetsuits are prohibited in some triathlons due to the added buoyancy they provide the swimmer, essentially holding a greater portion of the body above the water and decreasing the power required to swim. If a given suit is made of 1.8 square yards of the material, and it is 0.25 in thick and has a
A golf club head is made from aluminum having a specific weight of 0.100 lb/in 3 . In air it weighs 0.500 lb. What would be its apparent weight when suspended in cool water?
(a) If the cone shown in Fig. 5.34 is made of pine wood with a specific weight of 30 lb/ft3, will it be stable in the position shown floating in water?(b) Will it be stable if it is made of teak wood with a specific weight of 55 lb/ft3? 6-in diameter Fluid surface 12 in
A boat is shown in Fig. 5.33. Its geometry at the water line is the same as the top surface. The hull is solid. Is the boat stable? Top surface 5.5 m 0.3 m 2.4 m Water surface - Cross section 1.5 m 0,6 m
Figure 5.20 shows a cube floating in a fluid.(a) Derive an expression for the depth of submergence X that would ensure that the cube is stable in the position shown.(b) Using the expression derived in (a), determine the required distance X for a cube 75 mm on a side. Fluid surface х
A piece of cork having a specific weight of 2.36 kN/m3is shaped as shown in Fig. 5.32.(a) To what depth will it sink in turpentine (sg = 0.87) if placed in the orientation shown?(b) Is it stable in this position? 0.3 m -12 m 0.6 m
If the barge in Problem 5.57 is loaded with 240 000 lb of loose coal having an average density of 45 lb/ft3, how much of the barge would be below the water? Is it stable?In ProblemA barge is 60 ft long, 20 ft wide, and 8 ft deep. When empty, it weighs 210 000 lb, and its center of gravity is 1.5 ft
A barge is 60 ft long, 20 ft wide, and 8 ft deep. When empty, it weighs 210 000 lb, and its center of gravity is 1.5 ft above the bottom. Is it stable when floating in water?
A block of wood with a specific weight of 32 lb/ft3 is 6 by 6 by 12 in. If it is placed in oil (sg = 0.90) with the 6 by 12-in surface parallel to the surface of the oil, would it be stable?
A platform is being designed to support some water pollution testing equipment. As shown in Fig. 5.31, its base is 36.00 in wide, 48.00 in long, and 12.00 in high. The entire system weighs 130 lb, and its center of gravity is 34.0 in above the top surface of the platform. Is the proposed system
A proposed design for a part of a seawall consists of a rectangular solid weighing 3840 lb with dimensions of 8.00 ft by 4.00 ft by 2.00 ft. The 8.00-ft side is to be vertical. Will this object float stably in seawater?
Will the cylinder together with the brass plate shown in Fig. 5.25 and described in Problem 5.26 be stable in the position shown? Surface Carbon tetrachloride at 25°C 700 mm 750 mm Cylinder Y= 6.50 kN/m Brass y = 84.0 kN/m³ t = ? 450-mm diameter
Will the cylinder shown in Fig. 5.23 and described in Problem 5.22 be stable in the position shown? Cylinder Kerosene 750 mm at 25°C 600 mm 450-mm diameter
Referring to Problem 5.29, assume that the steel bar is placed inside the cup with its long axis vertical. Will the cup float stably?In ProblemA light foam cup similar to a disposable coffee cup has a weight of 0.05 N. A steel bar is placed inside the cup. The bar has a specific weight of 76.8
For the foam cup described in Problem 5.28, will it float stably if placed in the water with its axis vertical?In ProblemA light foam cup similar to a disposable coffee cup has a weight of 0.05 N, a uniform diameter of 82.0 mm, and a length of 150 mm. How much of its height would be submerged if it
For the vessel shown in Fig. 5.26 and described in Problem 5.27, assume that it floats with just the entire hemisphere submerged and that its center of gravity is 0.65 m from the top. Is it stable in the position shown? Top view 1.40 m 1.50-m diameter Hollow cylinder 0,60 m Side view Solid
Repeat Problem 5.46, except assume that crushed coal is added to the scow so that the scow is submerged to a depth of 16.0 ft and its center of gravity is raised to 13.50 ft from the bottom. Determine the minimum width for stability.Repeat ProblemFigure 5.30 shows a river scow used to carry bulk
Figure 5.30 shows a river scow used to carry bulk materials. Assume that the scow€™s center of gravity is at its centroid and that it floats with 8.00 ft submerged. Determine the minimum width that will ensure stability in seawater. 24 ft eg 12 ft 8 ft 80 ft W. min
A closed, hollow, empty drum has a diameter of 24.0 in, a length of 48.0 in, and a weight of 70.0 lb. Will it float stably if placed upright in water?
Will the float described in Problem 5.6 be stable if placed in the oil with its top surface horizontal?In ProblemA float to be used as a level indicator is being designed to float in oil, which has a specific gravity of 0.90. It is to be a cube 100 mm on a side, and is to have 75 mm submerged in
Will the buoy described in Problem 5.5 be stable if placed in the water with its axis vertical?In ProblemA buoy is a solid cylinder 0.3 m in diameter and 1.2 m long. It is made of a material with a specific weight of 7.9 kN/m3. If it floats upright, how much of its length is above the water?
Will the cylindrical float described in Problem 5.4 be stable if placed in the fluid with its axis vertical?In ProblemA cylindrical float has a 10-in diameter and is 12 in long. What should be the specific weight of the float material if it is to have 9/10 of its volume below the surface of a fluid
The large platform shown in Fig. 5.29 carries equipment and supplies to offshore installations. The total weight of the system is 450 000 lb, and its center of gravity is even with the top of the platform, 8 ft from the bottom. Will the platform be stable in seawater in the position shown? 1xeg 8
A container for an emergency beacon is a rectangular shape 30.0 in wide, 40.0 in long, and 22.0 in high. Its center of gravity is 10.50 in above its base. The container weighs 250 lb. Will the box be stable with the 30.0-in by 40.0-in side parallel to the surface in plain water?
A cylindrical block of wood is 1.00 m in diameter and 1.00 m long and has a specific weight of 8.00 kN/m3. Will it float in a stable manner in water with its axis vertical?
A solid cylinder with its axis horizontal sits completely submerged in a fluid on the bottom of a tank. Compute the force exerted by the cylinder on the bottom of the tank for the following data: D = 6.00 in, L = 10.00 in, γc = 0.284 lb/in3 (steel), γf = 62.4 lb/ft3.
A cube 6.00 in on a side is made from aluminum having a specific weight of 0.100 lb/in3. If the cube is suspended on a wire with half its volume in water and the other half in oil (sg = 0.85), what is the tension in the wire?
Describe how the situation described in Problem 5.35 will change if the water level rises by 18 in during high tide.In ProblemA float in an ocean harbor is made from a uniform foam having a specific weight of 12.00 lb/ft3. It is made in the shape of a rectangular solid 18.00 in square and 48.00 in
A float in an ocean harbor is made from a uniform foam having a specific weight of 12.00 lb/ft3. It is made in the shape of a rectangular solid 18.00 in square and 48.00 in long. A concrete (specific weight = 150 lb/ft3) block weighing 600 lb in air is attached to the float by a cable. The length
For the raft and platform shown in Figs. 5.27 and 5.28 and described in Problems 5.31 and 5.32, what extra weight will cause all the drums and the platform itself to be submerged? Assume that no air is trapped beneath the platform.Figure 5.27Figure 5.28 Raft 36 in 21-in diameter
For the raft shown in Fig. 5.27, how much of the drums will be submerged when only the platform is being supported? Refer to Problems 5.31 and 5.32 for data. Raft 36 in- 21-in diameter
Figure 5.28 shows the construction of the platform for the raft described in Problem 5.31. Compute its weight if it is made of wood of a specific weight of 40.0 lb/ft3. 0.50 in Plywood Section view 6.00 ft 6.00 in 1.50 in гуpical 8.00 ft Bottom view
Figure 5.27 shows a raft made of four hollow drums supporting a platform. Each drum weighs 30 lb. How much total weight of the platform and anything placed on it can the raft support when the drums are completely submerged in fresh water? Raft 36 in- 21-in diameter
Repeat Problem 5.29, but consider that the steel bar is fastened outside the bottom of the cup instead of being placed inside.Repeat ProblemA light foam cup similar to a disposable coffee cup has a weight of 0.05 N. A steel bar is placed inside the cup. The bar has a specific weight of 76.8 kN/m3,
A light foam cup similar to a disposable coffee cup has a weight of 0.05 N. A steel bar is placed inside the cup. The bar has a specific weight of 76.8 kN/m3, a diameter of 38.0 mm, and a length of 80.0 mm. How much of the height of the cup will be submerged if it is placed in water? The cup has a
A light foam cup similar to a disposable coffee cup has a weight of 0.05 N, a uniform diameter of 82.0 mm, and a length of 150 mm. How much of its height would be submerged if it were placed in water?
A vessel for a special experiment has a hollow cylinder for its upper part and a solid hemisphere for its lower part, as shown in Fig. 5.26. What must be the total weight of the vessel if it is to sit upright, submerged to a depth of 0.75 m, in a fluid having a specific gravity of 1.16? Top view
For the composite cylinder shown in Fig. 5.25, what thickness of brass is required to cause the cylinder to float in the position shown in carbon tetrachloride at 25°C? Surface Carbon tetrachloride at 25°C 700 mm 750 mm Cylinder y= 6.50 kN/m- Brass y = 84.0 kN/m³ t= ? 450-mm diameter
For the cylinder with the added brass (described in Problem 5.24), what will happen if the water were cooled to 15°C? Cylinder Kerosene 750 mm at 25°C 600 mm 450-mm diameter
A brass weight is to be attached to the bottom of the cylinder described in Problems 5.22 and 5.23, so that the cylinder will be completely submerged and neutrally buoyant in water at 95°C. The brass is to be a cylinder with the same diameter as the original cylinder shown in Fig. 5.24. What is
If the cylinder from Problem 5.22 is placed in fresh water at 95C, how much of its height would be above the surface? Hemisphere (both ends) Fluid surface 3.0 ft 4.0 ft 1.00-ft diameter Cone 3.00 ft 2.0-ft diameter
The cylinder shown in Fig. 5.23 is made from a uniform material. What is its specific weight? Cylinder Kerosene 750 mm at 25°C 600 mm 450-mm diameter
A cylindrical log has a diameter of 450 mm and a length of 6.75 m. When the log is floating in fresh water with its long axis horizontal, 110 mm of its diameter is above the surface. What is the specific weight of the wood in the log?
An iceberg has a specific weight of 8.72 kN/m3. What portion of its volume is above the surface when in seawater?
A ship has a mass of 292 Mg. Compute the volume of seawater it will displace when floating.
A cube has side dimensions of 18.00 in. It is made of steel having a specific weight of 491 lb/ft3. What force is required to hold it in equilibrium under mercury?
A cube has side dimensions of 18.00 in. It is made of steel having a specific weight of 491 lb/ft3. What force is required to hold it in equilibrium under fresh water?
For the hydrometer designed in Problem 5.13, what will be the specific gravity of the fluid in which the hydrometer would float at the bottom mark? Cross section of hull Water surface X= 1,06 m + cg + cb 0.80 m = Yeg Yeb =053 m
For the hydrometer designed in Problem 5.13, what will be the specific gravity of the fluid in which the hydrometer would float at the top mark? Cross section of hull Water surface X= 1,06 m + cg + cb 0.80 m = Yeg Yeb =053 m
A hydrometer is a device for indicating the specific gravity of liquids. Figure 5.21 shows the design for a hydrometer in which the bottom part is a hollow cylinder with a 1.00-in diameter, and the top is a tube with a 0.25-in diameter. The empty hydrometer weighs 0.020 lb. What weight of steel
Figure 5.20 shows a cube floating in a fluid. Derive an expression relating the submerged depth X, the specific weight of the cube, and the specific weight of the fluid. Fluid surface
If the aluminum weights described in Problem 5.10 are placed outside the drum, what volume will be required?Problem 10A cylindrical drum is 2 ft in diameter, 3 ft long, and weighs 30 lb when empty. Aluminum weights are to be placed inside the drum to make it neutrally buoyant in fresh water. What
A cylindrical drum is 2 ft in diameter, 3 ft long, and weighs 30 lb when empty. Aluminum weights are to be placed inside the drum to make it neutrally buoyant in fresh water. What volume of aluminum will be required if it weighs 0.100 lb/in3?
A steel cube 100 mm on a side weighs 80 N. We want to hold the cube in equilibrium under water by attaching a light foam buoy to it. If the foam weighs 470 N/m3, what is the minimum required volume of the buoy?
Figure 5.19 shows a pump partially submerged in oil (sg = 0.90) and supported by springs. If the total weight of the pump is 14.6 lb and the submerged volume is 40 in3, calculate the supporting force exerted by the springs. Pump Oil Springs
A concrete block with a specific weight of 23.6 kN/m3is suspended by a rope in a solution with a specific gravity of 1.15. What is the volume of the concrete block if the tension in the rope is 2.67 kN? Pump Oil Springs
A float to be used as a level indicator is being designed to float in oil, which has a specific gravity of 0.90. It is to be a cube 100 mm on a side, and is to have 75 mm submerged in the oil. Calculate the required specific weight of the float material.
A buoy is a solid cylinder 0.3 m in diameter and 1.2 m long. It is made of a material with a specific weight of 7.9 kN/m3. If it floats upright, how much of its length is above the water?
A cylindrical float has a 10-in diameter and is 12 in long. What should be the specific weight of the float material if it is to have 9/10 of its volume below the surface of a fluid with a specific gravity of 1.10?
A certain standard steel pipe has an outside diameter of 168 mm, and a 1 m length of the pipe weighs 277 N. Would the pipe float or sink in glycerin (sg = 1.26) if its ends are closed?
A 1.0-m-diameter hollow sphere weighing 200 N is attached to a solid concrete block weighing 4.1 kN. If the concrete has a specific weight of 23.6 kN/m3, will the two objects together float or sink in water?
The instrument package shown in Fig. 5.18 weighs 258 N. Calculate the tension in the cable if the package is completely submerged in seawater having a specific weight of 10.05 kN/m3. Water surface -300- mm 600 mm 450 mm Cable Sea bottom
Locks are installed in rivers to allow boats to pass safely around a dam and through the associated change in water level. The doors of the lock must hold back the water as the boat passes from one level to the next. In Fig. 4.57, the rightmost pair of doors is shown separating the high side, at a
Insulated concrete forms (ICFs) are becoming more and more common for a variety of reasons including the desire to build more energy efficient €œgreen€ structures. Instead of using temporary forms like lumber to hold poured concrete in place until it has cured, an ICF is
The tank in Fig. 4.55 has a view port in the inclined side. Compute the magnitude of the resultant force on the panel. Show the resultant force on the door clearly and dimension its location. 20 in 60 in 55 in 65 "High-energy drink mix" sg -1.06 3.00 ft dia.
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