A 16 wedge A of negligible mass is placed between two 80-kg blocks B and C which are at rest on inclined surfaces as shown. The coefficient of static friction is 0.40 between both the wedge and the...
In the central receiver concept of solar energy collection, a large number of heliostats (reflectors) provide a concentrated solar flux of q''S = 80,000 W/m2 to the receiver, which is positioned at...
Consider an adiabatic equilibrium flash. The variables are all as indicated in Figure. (a) Determine the number of variables. (b) Write all the independent equations that relate the variables. (c)...
Two large parallel plates with surface conditions approximating those of a blackbody are maintained at 1500 and 500?F, respectively. Determine the rate of heat transfer by radiation between the...
The bearing of Prob. 116 is to be sized to have a reliability of 0.96. What basic load rating should be used in selecting the bearing?
A gear reduction system consists of three gears A, B, and C. Gear A starts from rest at time t = 0 and rotates clockwise with constant angular acceleration. Knowing that the angular velocity of gear...
Dehumidification of air (Fig. 19.4-1) for the system of Example 19.4-1 let the vapor is H 2 0 and the stagnant gas is air. Assume the following conditions (which are representative in air...
Using frequency response arguments, discuss how well e-Gs can be approximated by a two-term Taylor series expansion, that is, by 1 s. Compare your results with those given in the text for a UI Pad...
For each of the following transfer functions, develop both the amplitude and phase angle of the Bode plot. Find AR and ? for each transfer function at of values of w = 0.1,1, and 10. (a) (Ss + 1)(s +...
Two ball bearings from different manufacturers are being considered for a certain application. Bearing A has a catalog rating of 2.0 kN based on a catalog rating system of 3 000 hours at 500 rev/min....
A flow of air at 5C, 90%, is brought into a house, where it is conditioned to 25C, 60% relative humidity. This is done in a SSSF process with a...
Adsorption with activated carbon, made from bituminous coal, of soluble organic compounds (SOCs) to purify surface and ground water is a proven technology, as discussed by Stenzel [Chem. Eng. Prog.,...
A decanter shown in Fig. E. is used to separate a feed that consists of two completely immiscible Liquids, a light component and a heavy component. Because of the large difference in their densities,...
Suppose a disk free space list indicates that the following blocks of storage are available: 13 blocks, 11 blocks, 18 blocks, 9 block, and 20 blocks. There is a request allocate 10 contiguous blocks...
Microporous silica particles with a density of 2.2 g/mL and a diameter of 10 m have a measured surface area of 300 m2/g. Calculate the surface area of the spherical silica as if it were simply solid...
A liquid mixture of acetone and water contains 35 mole% acetone. The mixture is to be partially evaporated to produce a vapor that is 75 mole% acetone and leave a residual liquid that is 18.7 mole%...
While emptying a wheelbarrow, a gardener exerts on each handle AB a force P directed along line CD. Knowing that P must have a 30-lb horizontal component, determine (a) The magnitude of the force P,...
A conical wedge is placed between two horizontal plates that are then slowly moved toward each other. Indicate what will happen to the wedge (a) If μs = 0.20, (b) If μs =...
An aqueous process stream of 100 gal/h at 2 o C contains 8 wt% Na 2 SO 4 and 6 wt% of a high-molecular-weight substance (A). This stream is processed in a continuous, counter current-flow dialyzer...
For an axially loaded rod, prove that = 1 for the E/ guidelines in Fig.216. TechnicalSAl0Steels Ni alloys Si), SiC - - 1 Ti alloys l W alloys Al alloys Composites CFRP Cu alloys 100 Wood l grain...
The voltages vR(t), vL(t), and vC(t) in the circuit shown can be drawn as phasors in a phasor diagram. Show that vR(t) + vL(t) + vC(t) = vS(t).
A linear array arranged along the z-axis consists of 12 equally spaced elements with d =2. Choose an appropriate incremental phase delay so as to steer the main beam...
To level a wood deck, wood wedges A and B are placed under a corner of the deck, and wedge B rests on a wood board as shown. Knowing that the coefficient of static friction between all wood surfaces...
The area shown is revolved about the x axis to form a homogeneous solid of revolution of mass m. Determine by direct integration the moment of inertia of the solid with respect to (a) The x axis, (b)...
A row of regularly spaced, cylindrical heating elements (1) is used to cure a surface coating that is applied to a large panel (2) positioned below the elements. A second large panel (3), whose top...
Consider the following reduction potentials: Co3+ + 3e Co o = 1.26 V Co2+ + 2e Co o = 20.28 V a. When cobalt metal dissolves in 1.0 M nitric acid, will Co3+ or Co2+ be the primary product (assuming...
An athlete is doing push-ups on an inclined board. Neglecting friction between his shoes and the board, determine the value of θ if he wants to limit the magnitude of the total force...
A small barrel having a weight of 250 lb is lifted by a pair of tongs as shown. Knowing that a = 5in, determine the forces exerted at B and D on tong ABD 6 in. -9 in. 18 in.
The band brake shown is used to control the speed of a rotating drum. Determine the magnitude of the couple being applied to the drum knowing that the coefficient of kinetic friction between the belt...
Evaluation of various velocity averages from Pitot tube data. Following are some experimental data 1 for a Pitot tube traverse for the flow of water in a pipe of internal radius 3.06 in.: Plot these...
Water in an open dish exposed to dry air at 25oC is found to vaporize at a constant rate of 0.04 g/h-cm2. Assuming the water surface to be at the wet-bulb temperature of ll.0C, calculate the...
Determine the number of theoretical stages required and the optimal-stage locations for the feed and liquid side stream for the distillation process shown in Figure 7.43 assuming that methanol (M)...
Determine the force in members CD, CF, and FG of the Warren truss. Indicate if the members are in tension orcompression. Bl DI 3 m, 3 m 3 m- 3 m- 6 kN 8 KN
The figure shows a rectangular member OB, made from ¼-in-thick aluminum plate, pinned to the ground at one end and supported by a ½ -in-diameter round steel rod with hooks formed on the...
A 0.1-m3 rigid tank initially contains refrigerant-134a at 1.2 MPa and 100 percent quality. The tank is connected by a valve to a supply line that carries refrigerant-134a at 1.6 MPa and 30C. The...
Consider an ideal gas-turbine cycle with two stages of compression and two stages of expansion. The pressure ratio across each stage of the compressor and turbine is 3. The air enters each stage of...
A sphere (k = 185 W/m K, = 7.25 x 105 m2/s) of 30-mm diameter whose surface is diffuse and gray with an emissivity of 0.8 is placed in a large oven whose walls are of uniform temperature at 600 K....
A heat flux gage of 4-mm diameter is positioned normal to and 1 m from the 5 mm-diameter aperture of a blackbody furnace at 1000 K. The diffuse, gray cover shield (E = 0.2) of the furnace has an...
Calculate the rate of heat loss per foot and the thermal resistance for a 6 in. schedule 40 steel pipe covered with a 3 in. thick layer of 85% magnesia. Superheated steam at 300?F flows inside the...
Ambient air at 100 kPa and 300 K is compressed isentropically in a steady-flow device to 1 MPa. Determine (a) The work input to the compressor, (b) The energy of the air at the compressor exit, and...
A well-insulated 4-m = 4-m X 5-m room initially at 10°C is heated by the radiator of a steam heating system. The radiator has a volume of 15 L and is filled with superheated vapor at 200 kPa and...
A vertical trapezoidal gate that is used as an automatic valve is held shut by two springs attached to hinges located along edge AB. Knowing that each spring exerts a couple of magnitude 8 kip ft,...
A mixture of ethylbenzene and xy lenes is to be distilled as shown in figure 9.29. Assuming the applicability of Raoult's and Dalton's laws: (a) Use the Fenske-Underwood-Gilliland method to estimate...
The transfer function that relate-s the change in blood pressure y to a change in u the infusion rate of a drug (sodium nitroprusside) is given by1 The two time delays result from the blood...
The weights of the various components of the truck are shown. Replace this system of forces by an equivalent resultant force and specify its location measured fromB. 3500 lb 5500 IbV 1750 lb tonti...
Consider a two-stage R-12 refrigeration system operating between 0.15 MPa and 1 MPa. The refrigerant leaves the condenser as saturated liquid and is throttled to a flash chamber operating at 0.4 MPa....
A rigid tank contains 1.5 kg of water at 120C and 500 kPa. Now 22 kJ of shaft work is done on the system and the final temperature in the tank is 95C. If the entropy change of water is zero and the...
A 2-m3 insulated tank containing ammonia at 20C, 80% quality, is connected by a valve to line flowing ammonia at 2 MPa, 60C. The valve is opened, allowing ammonia to flow into...
A roof truss is loaded as shown. Determine the force in members GI, HI, and IJ. 12 A 12 ft 12 ft 12 ft 12ft 12 ft B. 9f 9ft 4 kps ON
A small door weighing 16 lb is attached by hinges A and B to a wall and is held in the horizontal position shown by rope EFH. The rope passes around a small, frictionless pulley at F and is tied to a...
A 200-kg flywheel is at rest when a constant 300 N ??? m couple M is applied at time t = 0. At t = 28s the flywheel reaches its rated speed of 2400 rpm and the couple is removed. Knowing that the...
Consider operation of the furnace-re-cooperator combination of problem under conditions for which chemical energy is converted to thermal energy in the combustor at a rate of q comb = 2.0 x 10 6 Wand...
A dialyzer is to be used to separate 300 L/h of an aqueous solution containing 0.1 M NaCI and 0.2 M HCI. Laboratory experiments with the microporous membrane to be used give the following values for...
For the equation (a) Find the transfer function and put it in standard gain/time constant form. (b) Discuss the qualitative form of the response of this system (independent of the input forcing) over...
Air from a reservoir at 20°C and 500 kPa flows through a duct and forms a normal shock downstream of a throat of area 10 cm2. By an odd coincidence it is found that the stagnation pressure...
A mast is mounted on the roof of a house using bracket ABCD and is guyed by cables EF, EG, and EH. Knowing that the force exerted by cable EF at E is 29.7 lb, determine the moment of that force about...
The bent rod ABCD rotates about a line joining points A and D with a constant angular velocity of 75 rad/s. Knowing that at the instant considered the velocity of corner C is upward, determine the...
The 8-lb rod AB is attached to a collar of negligible weight at A and to a flywheel at B. The flywheel has a weight of 32 lb and a radius of gyration of 9 in. Knowing that in the position shown the...
Turbulent flow in horizontal pipes, a fluid is flowing with a mass flow rate w in a smooth horizontal pipe of length L and diameter D as the result of a pressure difference P0 - PL. The flow is known...
Stearic acid is to be steam distilled at 200C in a direct-fired still, heat-jacketed to prevent condensation. Steam is introduced into the molten acid in small bubbles, and the acid in the vapor...
A process (including valve and transmitter) has the approximate transfer function. G(s) = 2e0.2s/(s + 1) with time constant and time delay in minutes. Determine Pt controller settings and the...
Design the spring of Ex. 105 using the Gerber fatigue-failure criterion.
Consider a steam power plant that operates on a reheat Rankine cycle and has a net power output of 80 MW. Steam enters the high-pressure turbine at 10 MPa and 500C and the low-pressure turbine at 1...
A 70-kg skier starts from rest at point A and skis down the slope shown. Neglecting friction, determine the force exerted on the skier by the snow (a) Just before the skier reaches B, (b) Immediately...
The magnetic circuit of Problem 1.1 has a nonlinear core material whose permeability as a function of Bm is given by where Bm is the material flux density. a. Using MATLAB, plot a dc magnetization...
For a rectangular weld-bead track resisting bending, develop the necessary equations to treat cases of vertical welds, horizontal welds, and weld-all-around patterns with depth d and width b and...
An air-standard cycle is executed in a closed system with 0.004 kg of air and consists of the following three processes: 1-2 Isentropic compression from 100 kPa and 27C to 1 MPa 2-3 P = constant heat...
Problem 7.61 using the method of Sec. 7.6 solve Prob. 7.32. Problem 7.32: For the beam and loading shown, (a) Draw the shear and bending-moment diagrams, (b) Determine the maximum absolute values of...
Two C10 Ã 20 channels are welded to a 10 Ã 35 rolled S section as shown. Determine the moments of inertia and the radii of gyration of the combined section with respect to its...
Two identical 0.9-lb slender rods AB and BC are welded together to form an L-shaped assembly. The assembly is guided by two small wheels that roll freely in inclined parallel slots cut in a vertical...
A set of 2M biorthogonal signals is obtained from a set of M orthogonal signals by augmenting it with the negative of each signal in the set. (a) The extension of orthogonal to biorthogonal signals...
Porous particles of activated alumina have a BET surface area of 310 m2/g, a particle porosity of 0.48, and a particle density of 1.30 g/cm3. Determine: (a) Specific pore volume in cm3/g, (b) True...
For the complex distillation operation shown in figure 9.22, use the Fenske equation to determine the minimum number of stages required between: (a) The distillate and feed, (b) The feed and the side...
Consider the feedback control system in figure, and the following transfer functions: (a) Plot a Bode diagram for the open-loop transfer function. (b) Calculate the value of K that provides a phase...
Find the pH and fraction of dissociation () of a 0.100 M solution of the weak acid HA with Ka = 1.00 10-5.
In Example 3.5, an expression was derived for the critical insulation radius of an insulated, cylindrical tube. Derive the expression that would be appropriate for an insulated sphere.
Consider the packed bed operating conditions of Problem 5.12, but with Pyrex (p = 2225 kg/m3 c = 835 J/kg K. k = 1.4 W/m K) used instead of aluminum. How long does it take a sphere near the inlet...
Steel framing members AB, BC, and CD are joined at B and C and are braced using cables EF and EG. Knowing that E is at the midpoint of BC and that the tension in cable EG is 445 N, determine (a) The...
The wheel is subjected to a torque M. If the coefficient of kinetic friction between the band brake and the rim of the wheel is k, determine the smallest horizontal force P that must be applied to...
A mechanic uses a piece of pipe AB as a lever when tightening an alternator belt. When he pushes down at A, a force of 580 N is exerted on the alternator B. Determine the moment of that force about...
An extremely effective method of cooling high-power density silicon chips involves etching micro-channels, in the back (non-circuit) surface of the chip. The channels are covered with a silicon cap...
An MSMPR-type crystallizer is to be designed to produce 2,000 lb/h of crystals of the heptahydrate of magnesium sulfate with a predominant crystal size of 35 mesh. The magma will be 15 vol% crystals....
If the mass of the counterweight at A is 6500 kg, determine the force the gate exerts on the smooth stop at C. The gate is hinged at B and is 1-m wide. The density of water is ? w = 1 Mg/m 3 . 2 m m-...
The air-release flap on a hot-air balloon is used to release hot air from the balloon when appropriate. On one hot-air balloon, the air release opening has an area of 0.5 m2, and the filling opening...
Consider a simple ideal Brayton cycle with air as the working fluid. The pressure ratio of the cycle is 6, and the minimum and maximum temperatures are 300 and 1300 K, respectively. Now the pressure...
The axial forces act on the shaft as shown. Determine the internal normal forces at points A and B. Given: F1 = 20 lb F2 = 50 lb F3 = 10 lb F2 F2 F, Fi F1 F1 Fi NA Ng
A thin-walled tube of 20-mm diameter passes hot fluid at a mean temperature of 45C in an experimental flow loop. The tube is mounted horizontally in quiescent air at a temperature of 15C. To satisfy...
The press shown is used to emboss a small seal at E. Knowing that the vertical component of the force exerted on the seal must be 240 lb, determine (a) The required vertical force P, (b) The...
A 64-lb block is attached to a spring of constant 1 kip/k = /ft and can move without friction in a vertical slot as shown. It is acted upon by a periodic force of magnitude P = P m sin f t where f...
The 7-kg block A is released from rest in the position shown. Neglecting the effect of friction and the masses of the pulleys, determine the velocity of the block after it has moved 0.6 m up the...
Estimation of diffusivity for a binary mixture at high density, Predict CD AB for an equimolar mixture of N 2 and C 2 H 6 at 288.2K and 40atm (a) Use the value of D AB at 1atm from Table 17.1-1,...
In a balanced three-phase wye-wye system, the source is an abc-sequence set of voltages and Van = 120 < 50o V rms. The load voltage on the a phase is 110 < 50o V rms, and the load impedance is 16 +...
(a) For the distillation column shown in Figure, determine the number of independent design variables.(b) It is suggested that a feed consisting of 30% A, 20% B, and 50% C, all in moles, at 37.8oC...
In the production of chlorobenzenes by chlorination of benzene, two close-boiling isomers, para-dichlorobenzene (P) and ortho-dichlorobenzene (O), are separated by distillation. The feed to the...
A rigid container with volume 200 L is divided into two equal volumes by a partition, shown in Fig. P8.104. Both sides contain nitrogen, one side is at 2 MPa, 200C, and the other at 200 kPa, 100C....
Determine the couple forces F that must be applied to the handle of the machinist's vise in order to create a compressive force FA in the block Neglect friction at the bearing A. The guide at B is...
A 2-kg block A can slide without friction down a slot in a 10-kg block B which can slide without friction on a horizontal surface. Both blocks are at rest when block A is released in the position...
For the car of Prob. 16.124, determine the smallest constant acceleration that the driver can maintain if the door is to close and latch, knowing that as the door hits the frame its angular velocity...
One hundred kilogram-moles per hour of a saturated liquid mixture of 12 mol% ethyl alcohol in water is distilled continuously by direct steam at 1 atm introduced directly to the bottom plate. The...
Determine whether refrigerant R-22 in each of the following states is a compressed liquid, a superheated vapor, or a mixture of saturated liquid and vapor.