You are trying to decide which of two automobiles to buy. The first is American-made, costs $14,500, and has a rated gasoline mileage of 28 miles/gal. The second car is of European manufacture, costs...
The block diagram of a conventional feedback control system contains the following transfer functions: (a) Plot the Bode diagram for the open-loop transfer function. (b) For what values of K is the...
Determine the largest intensity w 0 of the distributed load that the beam can support if the beam can withstand a maximum bending moment of M max = 20 kN ? m and a maximum shear force of V max = 80...
The brake shown in the figure has a coefficient of friction of 0.30, a face width of 2 in, and a limiting shoe lining pressure of 150 psi. Find the limiting actuating force F and the torque capacity.
The 20-lb block A and the 30-lb block B are supported by an incline which is held in the position shown. Knowing that the coefficient of static friction is 0.15 between the two blocks and zero...
A gear drive consists of a 16-tooth 20 steel spur pinion and a 48-tooth cast-iron gear having a pitch of 12 teeth/in. For a power input of 1.5 hp at a pinion speed of 700 rev/min, select a face width...
Pin P is attached to the collar shown; the motion of the pin is guided by a slot cut in bar BD and by the collar that slides on rod AE. Rod AE rotates with a constant angular velocity of 6 rad/s...
Consider the two-dimensional rectangular plate of Problem 4.2 having a thermal conductivity of 50 W/m K. Beginning with the exact solution for the temperature distribution derive an expression for...
An aluminum pan whose thermal conductivity is 237 W/m C has a flat bottom whose diameter is 20 cm and thickness 0.4 cm. Heat is transferred steadily to boiling water in the pan through its bottom at...
A wall 0.12 m thick having a thermal diffusivity of 1.5 x 10 -6 m 2 /s is initially at a uniform temperature of 85C. Suddenly one face is lowered to a temperature of 20C, while the other face is...
A gaseous fuel containing methane and ethane is burned with excess air. The fuel enters the furnace at 25C and 1 atm, and the air enters at 200C and 1 atm. The stack gas leaves the furnace at 800C...
Complete this table for H2O: T, F P, psia u, Btu/lbm Phase description 300 782 40 Saturated liquid 500 120 400 400
In the spring, concrete surfaces such as sidewalks and driveways are sometimes very wet in the morning, even when it has not rained during the night. Typical night-time conditions are shown in the...
An electrochemical cell is constructed such that on one side a pure nickel electrode is in contact with a solution containing Ni2+ ions at a concentration of 3 ( 10-3 M. The other cell half consists...
A 12-lb block which can slide on a frictionless inclined surface is acted upon by a force P which varies in magnitude as shown. Knowing that the block is initially at rest, determine (a) The velocity...
The beam is to be hoisted using two chains. If the resultant force is to be 600 N directed along the positive y axis, determine the magnitudes of forces F A and F B acting on each chain and the angle...
The components of an electronic system dissipating 180 W are located in a 1.4-m-long horizontal duct whose cross section is 20 cm 20 cm. The components in the duct are cooled by forced air that...
The figure is a drawing of a 3- by 18-mm latching spring. A preload is obtained during assembly by shimming under the bolts to obtain an estimated initial deflection of 2 mm. The latching operation...
A gas-turbine power plant operates on the regenerative Brayton cycle between the pressure limits of 100 and 700 kPa. Air enters the compressor at 30°C at a rate of 12.6 kg/s and leaves at...
A stream of 5.00 wt% oleic acid in cottonseed oil enters an extraction unit at a rate of 100.0 kg/h. The unit operates as an equilibrium stage (the streams leaving the unit are in equilibrium) at...
The temperature of a gas is related to its absolute pressure and specific volume through T = 3.488pv, where T, p, and v are expressed in their standard SI units. Consider a gas at 100 kPa and 1...
Viscous heating in slit flow, find the temperature profile for the viscous heating problem shown in Fig. 10.4-2, when given the following boundary conditions: at x = 0, T = T 0 ; at x - b, q r = 0.
The rhombus shown has a mass m and was cut from a thin, uniform plate. Determine the mass moment of inertia of the rhombus with respect to (a) The x axis, (b) The y axis. B.
The 7FA gas turbine manufactured by General Electric is reported to have an efficiency of 35.9 percent in the simple-cycle mode and to produce 159 MW of net power. The pressure ratio is 14.7 and the...
Consider the following galvanic cell: Calculate the Ksp value for Ag2SO4(s). Note that to obtain silver ions in the right compartment (the cathode compartment), excess solid Ag2SO4 was added and some...
For the network of Fig. 4.125, determine: a. IB. b. IC. c. VCE. d. VC. 9+16 V 12 k VE B-120 Vca 9.1 k 15 k 6-12 V
A 0.5-m3 rigid tank contains refrigerant-134a initially at 200 kPa and 40 percent quality. Heat is transferred now to the refrigerant from a source at 35C until the pressure rises to 400 kPa....
Three electric resistance heaters of length L = 250 mm and diameter D = 25 mm are submerged in a 10 gallon tank of water, which is initially at 295 K. The water may be assumed to have a density and...
From mechanics of materials it is known that for a simply supported beam of uniform cross section a static load P applied at the center will cause a deflection A = PL3/48EI, where L is the length of...
Find the maximum shear stress in the throat of the weld metal in the figure. br> F 5000 lbf lin 2 in 8in tn in in lin lin
Determine the force developed in members GB and GF of the bridge truss and state if these members are in tension or compression. Given: F1 = 600 lb F2 = 800 lb a = 10 ft b = 10 ft c = 4 ft b- b- G|...
A liquid mixture of 30 wt% acetone and 70wt% 2-methyl-l-pentanol (C6H14O) is cooled from 45C to 20C. Calculate the associated specific enthalpy change in J/g, using Kopps rule to estimate any heat...
The heat transfer coefficients for the flow of 26.6?C air over a 1.25 cm diameter sphere are measured by observing the temperature-time history of a copper ball of the same dimension. The temperature...
An ASTM cast iron, grade 30 (see Table A24), carries static loading resulting in the stress state listed below at the critical locations. Choose the appropriate failure locus, plot it and the load...
When the couple M is applied to the link in a mechanism, the resulting forces exerted on the link from a guide and the connecting links are as shown. Determine (a) The values of M and α so that...
Shen and Smith [Ind. Eng. Chem. Fundam., 7, 100-105 (1968)] measured equilibrium-adsorption isotherms at four different temperatures for pure benzene vapor on silica gel, having the following...
In 2001, the United States produced 51 percent of its electricity in the amount of 1.878 = 1012 kWh from coal fired power plants. Taking the average thermal efficiency to be 34 percent, determine the...
A freezer compartment is covered with a 2-mm-thick layer of frost at the time it malfunctions. If the compartment is in ambient air at 20C and a coefficient of h = 2 W/m2 K characterizes heat...
A pistoncylinder device contains 50 kg of water at 250 kPa and 25°C. The cross-sectional area of the piston is 0.1 m2. Heat is now transferred to the water, causing part of it to evaporate and...
The figure shows a welded fitting which has been tentatively designed to be bolted to a channel so as to transfer the 2000-lbf load into the channel. The channel and the two fitting plates are of...
A standard solution containing 6.3 10-8 M iodoacetone and 2.0 10-7 M p dichlorobenzene (an internal standard) gave peak areas of 395 and 787, respectively, in a gas chromatogram. A 3.00-mL unknown...
Consider heat transfer in a one-dimensional (radial) cylindrical coordinate system under steady-state conditions with volumetric heat generation. (a) Derive the finite-difference equation for any...
Adiabatic frictionless processes in an ideal gas (a) A gas that obeys the ideal gas law may deviate appreciably from C p = constant. Hence rework Example 11.4-6 using a molar heat capacity expression...
A heat exchanger is to heat water (cp = 4.18 kJ/kg C) from 25 to 60C at a rate of 0.2 kg/s. The heating is to be accomplished by geothermal water (cp = 4.31 kJ/kg C) available at 140C at a mass...
A fuel gas produced by gasifying coal is to be burned with 20% excess air. The gas contains 50.0 mole% nitrogen and the balance carbon monoxide and hydrogen. A sample of the gas is passed through an...
Consider a distillation column for separating ethanol from water at 1 atm. The following specifications are set: Feed: 10 mol% ethanol (bubble-point liquid) Bottoms: 1 mol% ethanol Distillate: 80...
For each of the plane stress states listed below, draw a Mohrs circle diagram properly labeled, find the principal normal and shear stresses, and determine the angle from the x axis to 1. Draw stress...
Determine the moment of inertia of the composite area about the y axis. Given: a = 2 in b = 4 in c = 1 in d = 4 in v = 2a (1-(5) d -
A furnace with an aperture of 20-mm diameter and emissive power of 3.72 x 10 5 W/m 2 is used to calibrate a heat flux gage having a sensitive area of 1.6 x 10 -5 m 2 . (a) At what distance, measured...
If the magnitude of the resultant force acting on the bracket is to be 450 N directed along the positive u axis, determine the magnitude of F 1 and its direction ?. F = 200 N 12 F,- 260 N
A spherical pressure vessel is formed of 18-gauge (0.05-in) cold-drawn AISI 1018 sheet steel. If the vessel has a diameter of 8 in, estimate the pressure necessary to initiate yielding. What is the...
Each of the systems shown is initially at rest. Neglecting axle friction and the masses of the pulleys, determine for each system(a) The acceleration of block A,(b) The velocity of block A after it...
Consider a long bar of square cross section (0.8 m to the side) and of thermal conductivity 2 W/m K. Three of these sides are maintained at a uniform temperature of 300C. The fourth side is exposed...
A steel strip of thickness 8 = 12 mm is annealed by passing it through a large furnace whose walls are maintained at a temperature Tw corresponding to that of combustion gases flowing through the...
A saturated-liquid mixture of benzene and toluene containing 50 mol% benzene is distillated in an apparatus consisting of a still pot, one theoretical plate, and a total condenser. The still pot is...
Carbon disulfide, a key component in the manufacture of rayon fibers, is produced in the reaction between methane and sulfur vapor over a metal oxide catalyst: CH4 (g) + 4 S (v) CS2 (g) + 2 H2S (g)...
A pin is required for forming a linkage pivot. Find the dimensions required for a 50-mm basic size pin and clevis with a sliding fit.
The distillation column in Fig has the following transfer function model: With Gv = Gm = Gt = l (a) Design a feedforward controller based on a steady-state analysis. (b) Design a feedforward...
A driver starts his car with the door on the passenger??s side wide open ( = 0). The 36-kg door has a centroidal radius of gyration k = 250 mm, and its mass center is located at a distance r = 440 mm...
Consider incompressible flow in the entrance of a circular tube, as in Fig. P3.53, the inlet flow is uniform, u1 = Uo. The flow at section 2 is developed pipe flow. Find the wall drag force F as a...
Consider a fish swimming 5 m below the free surface of water. The increase in the pressure exerted on the fish when it dives to a depth of 45 m below the free surface is (a) 392 Pa (b) 9800 Pa (c)...
An air-standard Carnot cycle is executed in a closed system between the temperature limits of 350 and 1200 K. The pressures before and after the isothermal compression are 150 and 300 kPa,...
Consider a mach 4 airflow at a pressure of 1 atm. We wish to slow this flow to subsonic speed through a system of shock waves with as small a loss in total pressure as possible. Compare the loss in...
Replace the force and couple system by an equivalent force and couple moment at point O. Units Used: kN = 103 N Given: M = 8kNm = 60 deg a = 3 m f = 12 b = 3 m g = 5 c = 4 m F1 = 6kN d = 4m F2 = 4kN...
Determine the moments of inertia I x and I y of the area shown with respect to centroidal axes respectively parallel and perpendicular to side AB. 60 mm 320 mm 40 mm so mm 80 inm 330 mm 80 mm
A 30.0-liter cylinder of a gas containing 97.0 mole% CO and 3.0% CO2 is delivered to your plant. You sign the receipt for it, noting that the gauge on the tank reads 2000 psi. Several days later you...
A process has the transfer function, where K has a nominal-value of K = 1. PID controller settings are to be calculated using the Direct Synthesis approach with ?c = 5 min. Suppose that these...
In the movie The Drowning Pool, private detective Lew Harper (played by Paul Newman) is trapped by the bad guy in a room containing a swimming pool. The room may be considered rectangular, 5 meters...
Cr3+ is acidic by virtue of the hydrolysis reaction [Further reactions produce Cr(OH)+2, Cr(OH)3, and Cr(OH)-4.] Find the value of Ka1 in Figure 6-8. Considering only the Ka1 reaction, find the pH of...
As a means of enhancing heat transfer from high-performance logic chips, it is common to attach a heat sink to the chip surface in order to increase the surface area available for convection heat...
In a manufacturing process, long rods of different diameters are at a uniform temperature of 400C in a curing oven, from which they are removed and cooled by forced convection in air at 25C. One of...
A 2-in steel plate and a 1-in cast-iron plate are compressed with one bolt and nut. The bolt is in-13 UNC. (a) Determine a suitable length for the bolt, rounded up to the nearest in. (b) Determine...
The cumulative formation constant for SnCl2(aq) in 1.0 M NaNO3 is 2 = 12. Find the concentration of SnCl2(aq) for a solution in which the concentrations of Sn2+ and Cl- are both somehow fixed at 0.20...
The digestion of a 0.1417-g sample of a phosphorus-containing compound in a mixture of HNO3 and H2SO4 resulted in the formation of CO2, H2O, and H3PO4. Addition of ammonium molybdate yielded a solid...
Derive Archimedes' principle using a body of general shape.
The shaft assembly is supported by two smooth journal bearings A and B and a short link DC. If a couple moment is applied to the shaft as shown, determine the components of force reaction at the...
Tilting trains such as the Acela, which runs from Washington to New York to Boston, are designed to travel safely at high speeds on curved sections of track which were built for slower, conventional...
Molybdenum forms a substitutional solid solution with tungsten. Compute the weight percent of molybdenum that must be added to tungsten to yield an alloy that contains 1.0 10 22 Mo atoms per cubic...
A full journal bearing has a shaft diameter of 80.00 mm with a unilateral tolerance of 0.01 mm. The l/d ratio is unity. The bushing has a bore diameter of 80.08 mm with a unilateral tolerance of 0.03...
An air-conditioning system involves the mixing of cold air and warm outdoor air before the mixture is routed to the conditioned room in steady operation. Cold air enters the mixing chamber at 5°C...
The latest weather report states that the temperature is 24C and the relative humidity is 50%. (a) Use the psychometric chart to estimate the absolute humidity, humid volume, specific enthalpy,...
A six-cylinder, four-stroke, 4.5-L compression-ignition engine operates on the ideal diesel cycle with a compression ratio of 17. The air is at 95 kPa and 55C at the beginning of the compression...
Pure chlorobenzene is contained in a flask attached to an open-end mercury manometer. When the flask contents are at 58.3C, the height of the mercury in the arm of the manometer connected to the...
The original Flettner rotor ship was approximately 100 ft long, displaced 800 tons, and had a wetted area of 3500 ft2. As sketched in Fig. P8.54, it had two rotors 50 ft high and 9 ft in diameter...
Consider a steady-flow Carnot cycle with water as the working fluid. The maximum and minimum temperatures in the cycle are 350 and 60C. The quality of water is 0.891 at the beginning of the...
An open-end mercury manometer is to be used to measure the pressure in an apparatus containing a vapor that reacts with mercury. A 10 cm layer of silicon oil (SG = 0.92) is placed on top of the...
Determine the couple moment that acts on the assembly. Express the result as a Cartesian vector. Member BA lies in the x-y plane. Given: F = (0 0 100) N a = 300 mm b = 150 mm c = 200 mm d = 200 mm...
A 0.5-lb block B fits inside a small cavity cut in arm OA, which rotates in the vertical plane at a constant rate such that v = 9 ft/s. Knowing that the spring exerts on block B a force of magnitude...
The solubility of sodium bicarbonate in water is 11.1 g NaHCO 3 /l0O g H 2 O at 30C and 16.4 g NaHCO 3 /100 g H 2 0 at 60C. If a saturated solution of NaHCO 3 at 60C is cooled and comes to...
Sometimes it is desirable to be able to determine the weight percent of one element, C 1 that will produce a specified concentration in terms of the number of atoms per cubic centimeter, N 1 , for an...
(a) What resolution is required for a diffraction grating to resolve wavelengths of 512.23 and 512.26 nm? (b) With a resolution of 104, how close in nm is the closest line to 512.23 nm that can...
A refrigeration system is to cool bread loaves with pumppowered water heater has a COP of 2.2 but costs about an average mass of 450 g from 22 to -10C at a rate of 500 loaves per hour by refrigerated...
Two 2.6-lb collars A and B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about CD. The two collars are connected by a...
Consider the interface between atmospheric air and a body of water, both at 17C. (a) What are the mole and mass fractions of water at the air side of the interface, at the water side of the...
The shoes on the brake depicted in the figure subtend a 90 arc on the drum of this external pivoted-shoe brake. The actuation force P is applied to the lever. The rotation direction of the drum is...
An insulated pistoncylinder device initially contains 0.3 m3 of carbon dioxide at 200 kPa and 27C. An electric switch is turned on, and a 110-V source supplies current to a resistance heater inside...
For the beam and loading shown, determine (a) The magnitude and location of the resultant of the distributed load, (b) The reactions at the beam supports. Vertex Parabola S00 N/u 200 N/m B -4 m
A 0.2-m3 rigid tank equipped with a pressure regulator contains steam at 2 MPa and 300C. The steam in the tank is now heated. The regulator keeps the steam pressure constant by letting out some...
Determine the x, y, z components of reaction at the fixed wall A. The force F2 is parallel to the z axis and the force F1 is parallel to the y axis. Given: a = 2 m d = 2 m b = 1 m F1 = 200 N c = 2.5...
A binary PAM wave is to be transmitted over a baseband channel with an absolute maximum bandwidth of 75 kHz. The bit duration is 10s. Find a raised-cosine spectrum that satisfies these requirements.