Repeat Prob. 612 but with a steady torsional stress of 138 MPa and an alternating bending stress of 69 MPa.
A cylinder subjected to internal pressure pi has an outer diameter of 350 mm and a 25-mm wall thickness. For the cylinder material, KI c = 80 MPa, m, Sy = 1200 MPa, and Sut = 1350 MPa. If the...
A bowler projects a 200-mm-diameter ball of mass 5 kg along an alley with a forward velocity v0 of 5 m/s and a backspin 0 of 9 rad/s, knowing that the coefficient of kinetic friction between the ball...
For materials A and B, whose spectral hemispherical emissivities vary with wavelength as shown below, how does the total, hemispherical emissivity vary with temperature? Explain briefly. 2 B
The resistances and leakage reactances of a 30-kVA, 60-Hz, 2400-V: 240-V distribution transformer are R1 = 0.68 R2 = 0.0068 , X11 = 7.8 X12 = 0.0780 where subscript 1 denotes the 2400-V winding...
Radioactive wastes are temporarily stored in a spherical container, the center of which is buried a distance of 10 m below the earth's surface. The outside diameter of the container is 2 m, and 500 W...
The 30-kg uniform disk A and the bar BC are at rest and the 5-kg uniform disk D has an initial angular velocity 1 of magnitude 440 rpm when the compressed spring is released and disk D contacts disk...
A solution containing 100lb m KNO 3 /100lb m H 2 O at 80C is fed to a cooling crystallizer operated at 25C. Slurry from the crystallizer (KNO 3 crystals suspended in saturated solution) is fed to a...
A 3-m3 rigid tank contains nitrogen gas at 500 kPa and 300 K. Now heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to 800 kPa. The work done during this process is...
An athlete is exercising while wearing a 5-lb ankle weight at A as shown. Determine (a) The moment of the weight about the knee joint at B, (b) The magnitude of the muscular force P which creates a...
The diagonal of a long triangular bar is well insulated, while sides of equivalent length are maintained at uniform temperatures Ta and Tb. (a) Establish a nodal network consisting of five nodes...
A textile plant requires 4 kg/s of saturated steam at 2 MPa, which is extracted from the turbine of a cogeneration plant. Steam enters the turbine at 8 MPa and 500°C at a rate of 11 kg/s and...
The higher heating value of a hydrocarbon fuel CnHm with m 8 is given to be 1560 MJ/kmol of fuel. Then its lower heating value is (a) 1384 MJ/kmol (b) 1208 MJ/kmol (c) 1402 MJ/kmol (d) 1514 MJ/kmol...
Hot water at 50C is routed from one building in which it is generated to an adjoining building in which it is used for space heating. Transfer between the buildings occurs in a steel pipe (k = 60 W...
A horizontal semitransparent plate is uniformly irradiated from above and below, while air at T? = 300 K flows over the top and bottom surfaces, providing a uniform convection heat transfer...
Consider a well-insulated horizontal rigid cylinder that is divided into two compartments by a piston that is free to move but does not allow either gas to leak into the other side. Initially, one...
Determine the magnitude and coordinate direction angles of F3 so that resultant of the three forces acts along the positive y axis and has magnitude FR. Given: FR = 600 lb F1 = 180 lb F2 = 300 lb...
A 100-L rigid tank contains nitrogen (N2) at 900 K, 6 MPa. The tank is now cooled to 100 K. What are the work and heat transfer for this process?
Consider the conditions of Problem 1.22. However, now the plate is in a vacuum with a surrounding temperature of 25C. What is the emissivity of the plate? What is the rate at which radiation is...
The support bracket shown is used to transport a cylindrical can from one elevation to another. Knowing that s = 0.30 between the can and the bracket, determine? (a) The magnitude of the upward...
A feed mixture containing 50 wt% n-heptane and 50 wt% methylcyclohexane (MCH) is to be separated by liquid-liquid extraction into one product containing 92.5 wt% methylcyclohexane and another...
(a) Plot the spectrum of a PAM wave produced by the modulating signal m (t) Am cos (2imt) assuming a modulation frequency m = 0.25 Hz, sampling period Ts = 1 s, and pulse duration T = 0.45 s. (b)...
A 1.2-m3 insulated rigid tank contains 2.13 kg of carbon dioxide at 100 kPa. Now paddle-wheel work is done on the system until the pressure in the tank rises to 120 kPa. Determine (a) the actual...
If blocks D and F each have weight W1, determine the weight of block E if the sag is s. Neglect the size of the pulleys. Given: W1 = 5 lb s = 3 ft a = 4 ft E F D
Determine the tension in cable ABD and reaction at support C. 125 mm 175 mm -225 am
Compare Nusselt predictions based on the Colburn. Dittus-Boelter, Sieder and Tate, and Gnielinski correlations for the fully developed turbulent flow of water in a smooth circular tube at Reynolds...
Here are shown the atomic packing schemes for several different crystallographic directions for some hypothetical metal. For each direction the circles represent only those atoms contained within a...
A 2-kW baseboard electric resistance heater in a vacant room is turned on and kept on for 15 min. The mass of the air in the room is 75 kg, and the room is tightly sealed so that no air can leak in...
The rectangular gate of width w is pinned at its center A and is prevented from rotating by the block at B. Determine the reactions at these supports due to hydrostatic pressure. Units Used: Mg = 103...
The control rod CE passes through a horizontal hole in the body of the toggle clamp shown. Determine (a) The force Q required to hold the clamp in equilibrium, (b) The corresponding force in link BD....
A gas storage tank with a floating roof receives a steady input of 540 m3/h of a natural gas. The rate of withdrawal of gas from the tank, vw, varies more or less randomly during the day and is...
A square silicon chip (k = 150 W/m. K) is of width w = 5 mm on a side and of thickness t = 1 mm. The chip is mounted in a substrate such that its side and back surfaces are insulated, while the front...
Bar AC supports two 100-lb loads as shown. Rollers A and C rest against frictionless surfaces and a cable BD is attached at B. Determine (a) The tension in cable BD, (b) The reaction at A, (c) The...
A variation of the indicator dilution method (see preceding problem) is used to measure total blood volume. A known amount of a tracer is injected into the bloodstream and disperses uniformly...
A boiler used to generate saturated steam is in the form of an un-finned, cross-flow heat exchanger, with water flowing through the tubes and a high-temperature gas in cross flow over the tubes. The...
Two L76 Ã 76 Ã 6.4-mm angles are welded to a C250 Ã 30 channel. Determine the moments of inertia of the combined section with respect to centroidal axes respectively...
The signal m (t) = 6 sin (2t) volts is transmitted using a 4-bit binary PCM system. The quantizer is of the midrise type, with a step size of 1 volt. Sketch the resulting PCM wave for one complete...
Combustion gases enter an adiabatic gas turbine at 1540F and 120 psia and leave at 60 psia with a low velocity. Treating the combustion gases as air and assuming an isentropic efficiency of 82...
An array of 10 silicon chips, each of length L = 10 mm on a side, is insulated on one surface and cooled on the opposite surface by atmospheric air in parallel flow with T = 24C and U = 40 m/s....
Air at 25C flows at 30 x 10-6 kg/s within 100-mm-long channels used to cool a high thermal conductivity metal mold. Assume the flow is hydrodynamically and thermally fully developed. (a) Determine...
The collar P slides outward at a constant relative speed u along rod AB, which rotates counterclockwise with a constant angular velocity of 20 rpm. Knowing that r = 10 in. when = 0 and that the...
The figure shows a cantilever consisting of steel angles size 100 100 12 mm mounted back to back. Using superposition, find the deflection at B and the maximum stress in thebeam. 2.5 kN 2 m 1 kN/m...
A 30-m3 tank contains 14 m3 of liquid n-butane in equilibrium with its vapor at 25(C. Estimate the mass of n-butanc vapor in the tank. The vapor pressure of n-butane at the given temperature is 2.43...
The C clamp shown in the figure for Prob. 87 uses a 5/8 in-6 Acme thread. The frictional coefficients are 0.15 for the threads and for the collar. The collar, which in this case is the anvil strikers...
To cross a crevasse, three mountain climbers position a 3.5-m-long ladder as shown. Neglecting friction at A and B and knowing that the hiker at A exerts a horizontal force P on the end of the...
Consider the isentropic flow through a supersonic wind-tunnel nozzle. The reservoir properties are T0 = 500 K and p0 = 10atm. If p = 1atm at the nozzle exit, calculate the exit temperature and...
Two thermocouples, one of them a known standard, are placed in an air stream whose temperature is varying sinusoidally. The temperature responses of the two thermocouples are recorded at a number of...
The thermo gravimetric trace below shows mass loss by Y2(OH)5Cl xH2O upon heating. In the first step, waters of hydration are lost to give 8.1% mass loss. After a second decomposition step, 19.2% of...
Solar flux of 900 W/m2 is incident on the top side of a plate whose surface has a solar absorptivity of 0.9 and an emissivity of 0.1. The air and surroundings are at 17C and the convection heat...
On a cool day in April a scantily clothed runner is known to lose heat at a rate of 500 W because of convection to the surrounding air at T = 10oC. The runner's skin remains dry and at a temperature...
The radiant energy incident on the earths surface on a sunny day is roughly 900 W/m2. Collecting and focusing sunlight and using the focused beam to heat a fluid is an old idea, and as the...
A cylinder having a piston restrained by a linear spring (of spring constant 15 kN/m) contains 0.5 kg of saturated vapor water at 120C, as shown in Fig. P5.57. Heat is transferred to the water,...
Derive the velocity potential for a doublet; i.e., derive Eq. (3.88).
An air conditioner is designed to bring 10.000 ft 3 /min of outside air (90F. 29.8 in Hg, 88% relative humidity) to 40F, thereby condensing a portion of the water vapor, and then to reheat the air,...
Repeat Prob. 612 but with an alternating torsional stress of 103 MPa and a steady bending stress of 103 MPa.
Steam at 6 MPa and 500°C enters a two-stage adiabatic turbine at a rate of 15 kg/s. Ten percent of the steam is extracted at the end of the first stage at a pressure of 1.2 MPa for other use. The...
Determine the internal forces at point J of the structure shown. -20 ma 225 60 mm
Pressure difference required for flow in pipe with elevation change (Fig. 6A.2). Water at 68?F is to be pumped through 95 ft of standard 3-in. pipe (internal diameter 3.068 in.) into an overhead...
The following two reactions take place in a gas-phase reactor: If the system comes to equilibrium at 3000 K and 1 atm, the product gas mole fractions satisfy the relations (a) Let n A0 . . . n E0 be...
Estimate values of the mass diffusivity DAB for binary mixtures of the following gases at 350K and 1 atm: ammonia-air and hydrogen-air.
A wind turbine is rotating at 15 rpm under steady winds flowing through the turbine at a rate of 42,000 kg/s. The tip velocity of the turbine blade is measured to be 250 km/h. If 180 kW power is...
Consider a rectangular fin that is used to cool a motorcycle engine. The fin is 0.15 m long and at a temperature of 250C, while the motorcycle is moving at 80 km/h in air at 27C. The air is in...
Calculate H for each of the following processes. In each case, restate your result as a specific enthalpy relative to a reference state. [The solutionwhich you should verifyand the restatement for...
An adiabatic pump is to be used to compress saturated liquid water at 10 kPa to a pressure to 15 MPa in a reversible manner. Determine the work input using (a) Entropy data from the compressed liquid...
Determine the reactions at the beam supports for the given loading. 200 lh/ft B. 3 ft
A force P is applied to the lever of an arbor press. Knowing that P lies in a plane parallel to the y z plane and that 230 lb M x = in., M y = 200 lb in., and M z = 35 lb in., determine the...
I. M. Appelpolscher, supervisor of the process control group of the Ideal Gas Company, has installed a 25 x 40 x 5-ft swimming poe1 in his backyard. The poo1 contains level and temperature sensors...
Fill out the following table for substance water
Determine the reactions at the beam supports for the given loading when 0 1.5 w = 5 kN/m. 3.5 kN/m to
A 2.5-lb collar is attached to a spring and slides without friction along a circular rod in a vertical plane. The spring has an undeformed length of 4 in. and a constant k. The collar is at rest at C...
Suppose you pour a gallon of water on a yowling cat 10 ft below your bedroom window. (a) How much potential energy (ft 1bf) does the water lose? (b) How fast is the water traveling (ft/s) just...
A bituminous coal is burned with air in a boiler furnace, The coal is fed at a rate of 40,000 kg/h and has an ultimate analysis of 76 wt% C, 5% H, 8% 0, negligible amounts of N and S. and 11%...
A container filled with 45 kg of liquid water at 95°C is placed in a 90-m3 room that is initially at 12°C. Thermal equilibrium is established after a while as a result of heat transfer...
One hundred electrical components each dissipating 25 W, are attached to one surface of a square (0.2 m x 0.2 m) copper plate, and all the dissipated energy is transferred to water in parallel flow...
The curved rod lies in the x-y plane and has a radius r. If a force F acts at its end as shown, determine the moment of this force about point B. Given: F = 80 N c = 3 m a = 1 m r = 3 m b = 2 m...
Gas-mixture viscosities at low density. The following data 2 are available for the viscosities of mixtures of hydrogen and Freon-12 (dichlorodifluoromethane) at 25 o C and 1 atm: Mole fraction of H 2...
Air at 90C and 1.00 atm (absolute) contains 10.0mole% water. A continuous stream of this air enters a compressorcondenser, in which the temperature is lowered to 15.6C and the pressure, is raised to...
You have purchased a gas cylinder that is supposed to contain 5.0 mole% Cl2 ( 0.1%) and 95% air. The experiments you have been running are not giving reasonable results, and you suspect that the...
Consider a random process X (t) defined by X (t) = sin (2fct), in which the frequency f c is a random variable uniformly distributed over the interval [0, W]. Show that X (t) is non-stationary
A single-pass, cross-flow heat exchanger uses hot exhaust gases (mixed) to heat water (unmixed) from 30 to 80C at a rate of 3 kg/s. The exhaust gases, having thermo physical properties similar to...
Suppose that an HPLC column produces Gaussian peaks. The detector measures absorbance at 254 nm. A sample containing equal moles of compounds A and B was injected into the column. Compound A (254] =...
A desktop computer is to be cooled by a fan whose flow rate is 0.34 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...
Acetaldehyde is synthesized by the catalytic dehydrogenization of ethanol: C 2 H 5 OH ? CH 3 CHO + H 2? Fresh feed (pure ethanol) is blended with a recycle stream (95 mole% ethanol and 5%...
A streamlined strut supporting a bearing housing is exposed to a hot airflow from an engine exhaust. It is necessary to run experiments to determine the average convection heat transfer coefficient h...
The air in a building is to be maintained at 25C and 55% relative humidity by passing outside air through a water spray. The air enters the spray chamber at 32C and 70% relative humidity, leaves the...
Draw the free-body diagram of the beam which supports the 80-kg load and is supported by the pin at A and a cable which wraps around the pulley at D. Explain the significance of each force on the...
The angular acceleration of an oscillating disk is defined by the relation = k. Determine (a) The value of k for which = 12 rad/s when = 0 and = 6 rad when = 0, (b) The angular velocity of the...
A 12-in.-radius cylinder of weight 16 lb rests on a 6-lb carriage. The system is at rest when a force P of magnitude 2.5 lb is applied as shown for 1.2 s. Knowing that the cylinder rolls without...
One thousand kg of natural gas at 100 bar and 255 K is stored in tank. If the pressure, , specific volume, , and temperature, T, of the gas are related by following expression = [(5.18 10-3) T/ ( ...
The figure shows a double-reduction helical gearset. Pinion 2 is the driver, and it receives a torque of 1200 lbf ã»in from its shaft in the direction shown. Pinion 2 has a normal...
Estimate the force required to upset a 0.125-in.-diameter C74500 brass rivet in order to form a 0.25-in.-diameter head. Assume that the coefficient of friction between the brass and the tool-steel...
Repeat Prob. 51 for a bar of AISI 1018 hot-rolled steel and: (a) A = 100 MPa, B = 80 MPa (b) A = 100 MPa, B = 10 MPa (c) A = 100 MPa, B = 80 MPa (d) A = 80 MPa, B = 100 MPa
A container equipped with a resistance heater and a mixer is initially filled with 3.6 kg of saturated water vapor at 120C. Now the heater and the mixer are turned on; the steam is compressed, and...
Briefly explain why, for a small anode-to-cathode area ratio, the corrosion rate will be higher than for a large ratio.
Assume that we are in another universe with different physical laws. Electrons in this universe are described by four quantum numbers with meanings similar to those we use. We will call these quantum...
At 45oC, 5,000 kg/h of a mixture of 65 wt% docosane, 7 wt% furfural, and 28 wt% diphenylhexane is to be extracted with pure furfural to obtain a raffinate with 12 wt% diphenylhexane in a continuous,...
Limiting local Nusselt number for plug flow with constant heat flux (a) Equation 10B.9-1 gives the asymptotic temperature distribution for cooling a fluid of constant physical properties in plug flow...
Cold air at 20F, 760 mm Hg pressure and 70% relative humidity is conditioned by being passed through a bank of heatin2 coils, then through a water spray and finally through a second set of heating...
The "crossed-strings" method of Hottel [13] provides a simple means to calculate view factors between surfaces that are of infinite extent in one direction. For two such surfaces (a) with...
The figure shows a steel countershaft that supports two pulleys. Pulley C receives power from a motor producing the belt tensions shown. Pulley A transmits this power to another machine through the...