Fox And McDonald's Introduction To Fluid Mechanics 9th Edition Philip J. Pritchard, John W. Mitchell - Solutions

A rotary mixer is constructed from two circular disks as shown. The mixer is rotated at \(60 \mathrm{rpm}\) in a large vessel containing a brine solution \((\mathrm{SG}=1.1)\). Neglect the drag on the rods and the motion induced in the liquid. Estimate the minimum torque and power required to drive
An emergency braking parachute system on a military aircraft consists of a large parachute of diameter \(6 \mathrm{~m}\). If the airplane mass is \(8500 \mathrm{~kg}\), and it lands at \(400 \mathrm{~km} / \mathrm{hr}\), find the time and distance at which the airplane is slowed to \(100
Calculate the drag of a smooth sphere of \(0.5 \mathrm{~m}\) diameter when placed in an airstream \(\left(15^{\circ} \mathrm{C}\right.\) and \(\left.101.3 \mathrm{kPa}\right)\) if the velocity is(a) \(6 \mathrm{~m} / \mathrm{s}\), (b) \(8.4 \mathrm{~m} / \mathrm{s}\). For the same drag coefficient
The resistance to motion of a good bicycle on smooth pavement is nearly all due to aerodynamic drag. Assume that the total weight of rider and bike is \(210 \mathrm{lbf}\). The frontal area measured from a photograph is \(A=5 \mathrm{ft}^{2}\). Experiments on a hill, where the road grade is 9
A cyclist is able to attain a maximum speed of \(30 \mathrm{~km} / \mathrm{hr}\) on a calm day. The total mass of rider and bike is \(65 \mathrm{~kg}\). The rolling resistance of the tires is \(F_{R}=7.5 \mathrm{~N}\), and the drag coefficient and frontal area are \(C_{D}=1.2\) and \(A=0.25
A 0.5 -m-diameter hollow plastic sphere containing pollution test equipment is being dragged through the Hudson River in New York by a diver riding an underwater jet device. The sphere with an effective specific gravity of \(\mathrm{SG}=0.30\) is fully submerged, and it is tethered to the diver by
The Willis Tower (formerly the Sears Tower) in Chicago is \(1454 \mathrm{ft}\) tall. Assuming that it is a tall rectangle with a square base of \(120 \mathrm{ft}\) sides, calculate the maximum drag force on the building and the force when the wind is along the diagonal of the structure as a
Calculate the drag forces on a 1/200 scale model of the Willis Tower that is tested in a large water flume under conditions corresponding to those in problem 9.89. Ignore any free surface effects and assume dynamic similarity and that the drag coefficient is unchanged.
A vehicle is built to try for the land-speed record at the Bonneville Salt Flats, elevation \(4400 \mathrm{ft}\). The engine delivers \(500 \mathrm{hp}\) to the rear wheels, and careful streamlining has resulted in a drag coefficient of 0.15 , based on a \(15 \mathrm{ft}^{2}\) frontal area. Compute
A tractor-trailer rig has frontal area \(A=102 \mathrm{ft}^{2}\) and drag coefficient \(C_{D}=0.9\). Rolling resistance is \(6 \mathrm{lbf}\) per \(1000 \mathrm{lbf}\) of vehicle weight. The specific fuel consumption of the diesel engine is 0.34 \(\mathrm{lbm}\) of fuel per horsepower hour, and
An anemometer to measure wind speed is made from four hemispherical cups of 2-in. diameter, as shown. The center of each cup is placed at \(R=3\) in. from the pivot. Find the theoretical calibration constant, \(k\), in the calibration equation \(V=k \omega\), where \(V(\mathrm{mph})\) is the wind
The antenna on a car is \(10 \mathrm{~mm}\) in diameter and \(1.8 \mathrm{~m}\) long. Estimate the bending moment that tends to snap it off if the car is driven at \(120 \mathrm{~km} / \mathrm{hr}\) on a standard day.
Standard air is drawn into a low-speed wind tunnel. A 30-mm diameter sphere is mounted on a force balance to measure lift and drag. An oil-filled manometer is used to measure static pressure inside the tunnel; the reading is \(-40 \mathrm{~mm}\) of oil \((\mathrm{SG}=0.85)\). Calculate the
A small sphere with \(D=6 \mathrm{~mm}\) is observed to fall through castor oil at a terminal speed of \(60 \mathrm{~mm} / \mathrm{s}\). The temperature is \(20^{\circ} \mathrm{C}\). Compute the drag coefficient for the sphere. Determine the density of the sphere. If dropped in water, would the
A water tower consists of a 12-m-diameter sphere on top of a vertical tower \(30 \mathrm{~m}\) tall and \(2 \mathrm{~m}\) in diameter. Estimate the bending moment exerted on the base of the tower due to the aerodynamic force imposed by a \(100 \mathrm{~km} / \mathrm{hr}\) wind on a standard day.
The plot shows pressure difference versus angle measured for air flow around a circular cylinder at \(R e=80,000\). Use these data to estimate \(C_{D}\) for this flow. Compare with data from Fig. 9.13. How can you explain the difference?Data From Fig. 9.13 Pressure difference, p-P (in. HO) 0.6 0.4
A rectangular airfoil of \(9 \mathrm{~m}\) span and \(1.8 \mathrm{~m}\) chord moves horizontally at an angle of attack through still air at \(240 \mathrm{~km} / \mathrm{h}\). Calculate the lift and drag, and the power necessary to drive the airfoil at this speed through air of(a) \(101.3
A wing model of \(5 \mathrm{in}\). chord and \(2.5 \mathrm{ft}\) span is tested at a certain angle of attack in a wind tunnel at \(60 \mathrm{mph}\) using air at \(14.5 \mathrm{psia}\) and \(70^{\circ} \mathrm{F}\). The lift and drag are found to be \(6.0 \mathrm{lbf}\) and \(0.4 \mathrm{lbf}\)
A spherical sonar transducer with 15 in. diameter is to be towed in seawater. The transducer must be fully submerged at \(55 \mathrm{ft} / \mathrm{s}\). To avoid cavitation, the minimum pressure on the surface of the transducer must be greater than 5 psia. Calculate the hydrodynamic drag force
If the mean velocity adjacent to the top of a wing of \(1.8 \mathrm{~m}\) chord is \(40 \mathrm{~m} / \mathrm{s}\) and that adjacent to the bottom of the wing is \(31 \mathrm{~m} / \mathrm{s}\) when the wing moves through still air at \(33.5 \mathrm{~m} / \mathrm{s}\), estimate the lift per meter
A human-powered aircraft has a gross weight of \(240 \mathrm{lbf}\) including the pilot. Its wing has a lift coefficient of 1.5 and a liftto-drag ratio of 70. Estimate the wing area needed and the pilot power that must be provided for this craft to cruise at \(15 \mathrm{mph}\). Assume that the
An antique airplane carries \(50 \mathrm{~m}\) of external guy wires stretched normal to the direction of motion. The wire diameter is \(5 \mathrm{~mm}\). Estimate the maximum power saving that results from an optimum streamlining of the wires at a plane speed of \(175 \mathrm{~km} / \mathrm{hr}\)
An airplane with an effective lift area of \(25 \mathrm{~m}^{2}\) is fitted with airfoils of NACA 23012 section (Fig. 9.23). The maximum flap setting that can be used at takeoff corresponds to configuration (2) in Fig. 9.23. Determine the maximum gross mass possible for the airplane if its takeoff
A light airplane, with mass \(M=1000 \mathrm{~kg}\), has a conventionalsection (NACA 23015) wing of planform area \(A=10 \mathrm{~m}^{2}\). Find the angle of attack of the wing for a cruising speed of \(V=63 \mathrm{~m} / \mathrm{s}\). What is the required power? Find the maximum instantaneous
Assume the Boeing 727 aircraft has wings with NACA 23012 section, planform area of \(1600 \mathrm{ft}^{2}\), double-slotted flaps, and effective aspect ratio of 6.5. If the aircraft flies at 150 knots in standard air at 175,000 lbf gross weight, estimate the thrust required to maintain level flight.
Air moving over an automobile is accelerated to speeds higher than the travel speed, as shown in Fig. 9.25. This causes changes in interior pressure when windows are opened or closed. Use the data of Fig. 9.25 to estimate the pressure reduction when a window is opened slightly at a speed of \(100
Rotating cylinders were proposed as a means of ship propulsion in 1924 by the German engineer, Flettner. The original Flettner rotor ship had two rotors, each about \(10 \mathrm{ft}\) in diameter and \(50 \mathrm{ft}\) high, rotating at up to \(800 \mathrm{rpm}\). Calculate the maximum lift and

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