Without bracing, a machinist can exert only about 100 lbf on a wrench or tool handle. The lever shown in the figure has t = ½ in and w = 2 in. We wish to specify the fillet-weld size to secure...
What fraction of vertical bars in Figure 4-5a is expected to include the population mean (10 000) if many experiments are carried out? Why are the 90% confidence interval bars longer than the 50%...
A 50-kg iron block and a 20-kg copper block, both initially at 80°C, are dropped into a large lake at 15°C. Thermal equilibrium is established after a while as a result of heat transfer...
The compression ratio of an air-standard Otto cycle is 9.5. Prior to the isentropic compression process, the air is at 100 kPa, 35C, and 600 cm3. The temperature at the end of the isentropic...
Determine the magnitudes of F1 and F2 so that the particle is in equilibrium. Given: F = 500 N θ1 = 45 deg θ2 = 30deg 2
If a force of magnitude P is applied perpendicular to the handle of the mechanism, determine the magnitude of force F for equilibrium. The members are pin-connected at A, B, C, and D. Given: P = 6 lb...
Heat conduction with temperature-dependent thermal conductivity (Fig. 10B.12) the curved surfaces and the end surfaces (both shaded in the figure) of the solid in the shape of a half-cylindrical...
From the standard conditions given in Table 5.2-1, calculate the value of the gas constant R in (a) Atmm3 / (k mol K) and (b) Torrft3 / (lb-mole R).
Ammonia is one of the chemical constituents of industrial waste that must be removed in a treatment plant before the waste can safely be discharged into a river or estuary. Ammonia is normally...
Suppose that the fed-batch bioreactor in figure is converted to a continuous, stirred-tank bioreactor (also called a chemostat) by adding an exit stream. Assume that the inlet and exit streams have...
A cylinder-shaped carbon resistor is 8 cm in length and its circular cross section has a diameter d 1 mm. (a) Determine the resistance R. (b) To reduce its resistance by 40%, the carbon resistor is...
Consider a uniform quantizer characterized by the inputoutput relation illustrated Figure a. Assume that a Gaussian-distributed random variable with zero mean and unit variance is applied to this...
The magnetic circuit of figure and Problem 1.6 has the following dimensions: Ac = 8.2cm2 lc = 23cm lp = 2.8 cm g = 0.8 mm X0 = 2.5 cm N = 430 turns a. Assuming a constant permeability of ? = 2800?0,...
Nitric oxide (NO) emissions from automobile exhaust can be reduced by using a catalytic converter, and the following reaction occurs at the catalytic surface: NO + CO N 2 + CO 2 . The concentration...
Two rigid tanks are connected by a valve. Tank A contains 0.2 m3 of water at 400 kPa and 80 percent quality. Tank B contains 0.5 m3 of water at 200 kPa and 250oC. The valve is now opened, and the two...
The coefficient of static friction between the shoes at A and B of the tongs and the pallet is s1 and between the pallet and the floor s2. If a horizontal towing force P is applied to the tongs,...
A sealed rigid vessel has volume of 1 m3 and contains 2 kg of water at 100C. The vessel is now heated. If a safety pressure valve is installed, at what pressure should the valve be set to...
Determine the components of the reactions at A and E when a 24- lb force directed vertically downward is applied (a) At B, (b) At D 2 in. 6 in. 2 in. R. 3 in. D. E. I in. 2 in.
In Example 4.9, 83.25% of the oil in soybeans is leached by benzene using a single equilibrium stage. Calculate the percent extraction of oil if: (a) Two countercurrent equilibrium stages are used to...
Lewis, Gilliland, Chertow, and Hoffman [J. Am. Chem. Soc., 72, 1153-1 157 (1950)] measured adsorption equilibria for pure propane, pure propylene, and binary mixtures thereof, on activated carbon and...
Steam enters an adiabatic nozzle at 3.5 MPa and 300C with a low velocity and leaves at 1.6 MPa and 250C at a rate of 0.4 kg/s. If the ambient state is 100 kPa and 18C, determine (a) the exit...
A single V belt is to be selected to deliver engine power to the wheel-drive transmission of a riding tractor. A 5-hp single-cylinder engine is used. At most, 60 percent of this power is transmitted...
A heat engine receives heat from a source at 1000C and rejects the waste heat to a sink at 50C. If heat is supplied to this engine at a rate of 100 kJ/s the maximum power this heat engine can produce...
The sheet metal form shown moves in the xy plane. Knowing that (vA)x = 100mm/s, (vB)y = ??75mm/s, and (vC)x = 400mm/s, determine (a) The angular velocity of the plate, (b) The velocity of point A....
Effect of mass transfer rate on the concentration profiles (a) Combine the result in Eq. 18.2-11 with that in Eq. 18.2-14 to get (b) Obtain the same result by integrating Eq. 18.2-1 directly using...
Find V1 in the network shown. + V, 20 kQ 40 kQ V1
The unstretched length of spring AB is δ. If the block is held in the equilibrium position shown, determine the mass of the block at D. Given: δ = 2 m a = 3 m b = 3 m c = 4 m kAB = 30 N/m...
Knowing that at the instant shown bar DE has a constant angular velocity of 18 rad/s clockwise, determine (a) The acceleration of point B, (b) The acceleration of point G. -15.2 in.- A B 4 in. 8 in....
Following is tabulated data that were gathered from a series of Charpy impact tests on a ductile cast iron. (a) Plot the data as impact energy versus temperature. (b) Determine a ductile-to-brittle...
A simply supported beam loaded by two forces is shown in the figure. Select a pair of structural steel channels mounted back to back to support the loads in such a way that the deflection at midspan...
A block of mass 10 kg moves along a surface inclined 30 relative to the horizontal. The center of gravity of the block is elevated by 3.0 m and the kinetic energy of the block decreases by 50 J. The...
A 2-mm-thick piece of sheet steel is cut and bent into the machine component shown. Knowing that the density of steel is 7850 kg/m3, determine the mass moment of inertia of the component with respect...
Hot coffee is contained in a cylindrical thermos bottle that is of length L = 0.3 m and is lying on its side (horizontally). The coffee container consists of a glass flask of diameter D 1 = 0.07 m,...
Silver ion in methanol was exchanged with sodium ion using Dowex 50 cross-linked with 8% divinyl benzene by Gable and Stroebel [J. Phys. Chem., 60, 513-517 (1956)]. The molar selectivity coefficient...
The power transmission cable has a weight per unit length of 15lb/ft. If the lowest point of the cable must be at least 90 ft above the ground, determine the maximum tension developed in the cable...
Using superposition for the bar shown, determine the minimum diameter of a steel shaft for which the maximum deflection is 2mm. 20 375 N I 550 N 375 N 0
Acetylene gas (C2H2) at 25C is burned during a steady-flow combustion process with 30 percent excess air at 27C. It is observed that 75,000 kJ of heat is being lost from the combustion chamber to the...
You are to design a packed column to absorb C02 from air into fresh, dilute-caustic solution. The entering air contains 3 mol% C02, and a 97% recovery of C02 is desired. The gas flow rate is 5,000...
If the force in each cable tied to the bin is 70 lb, determine the magnitude and coordinate direction angles of the resultant force.
Block A has a weight of 100 lb and rests on a surface for which ? s = 0.25. If the coefficient of static friction between the cord and the fixed peg at C is ? s = 0.3, determine the greatest weight...
You have just accepted the position as CIO for Holiday Inn (Figure 3.7). As your first official act, the CEO has asked you to assess the corporation's computer operations and report back to her with...
Carbon-dioxide gas at 3 MPa and 500 K flows steadily in a pipe at a rate of 0.4 kmol/s, Determine (a) the volume and mass flow rates and the density of carbon dioxide at this state. If CO2 is cooled...
A heat pump is to be used for heating a house in winter. The house is to be maintained at 78F at all times. When the temperature outdoors drops to 25F, the heat losses from the house are estimated to...
As everyone who has used a fireplace knows when a fire burns in a furnace, a draft, or slight vacuum is induced that causes the hot combustion gases and entrained particulate matter to flow up and...
The three forces acting on the block each have a magnitude F1 = F2 = F3. Replace this system by a wrench and specify the point where the wrench intersects the z axis, measured from point O. Given: F1...
A spherical droplet of alcohol, 0.5 mm in diameter, is falling freely through quiescent air at a velocity of 1.8 m/s. The concentration of alcohol vapor at the surface of the droplet is 0.0573 kg/m 3...
A procedure for determining the thermal conductivity of a solid material involves embedding a thermocouple in a thick slab of the solid and measuring the response to a prescribed change in...
Rod ABD is guided by wheels at A and B that roll in horizontal and vertical tracks. Knowing that at the instant shown n =60? and the velocity of wheel B is 800 mm/s downward, determine (a) The...
The flow of air to a gas-fired boiler furnace is regulated by a minicomputer controller. The fuel gases used in the furnace are mixtures of methane (A), ethane (B), propane (C), n-butane (D), and...
Let X (t) is zero-mean, stationary, Guassian process with autocorrelation function RX (). This process is applied to a square-law device, which is obtained by the input-output relation Y (t) = X2...
A standard 4 in. steel pipe (ID = 4.026 in., OD = 4.500 in.) carries superheated steam at 1200?F in an enclosed space where a fire hazard exists, limiting the outer surface temperature to 100?F. In...
The evaporator section of a heat pump is installed in a large tank of water, which is used as a heat source during the winter. As energy is extracted from the water, it begins to freeze, creating an...
Pressure drop required for a pipe with fittings. What pressure drop is needed for pumping water at 20 o C through a pipe of 25 cm diameter and 1234 m length at a rate of 1.97 m/s? The pipe is at the...
The temperature and pressure at the stagnation point of a high-speed missile are 934R and 7.8atm, respectively. Calculate the density at this point.
Consider a point in a flow where the velocity and temperature are 1300 ft/s and 480R, respectively. Calculate the total enthalpy at this point.
Penicillin is produced by fermentation and recovered from the resulting aqueous broth by extraction with butyl acetate. The penicillin distribution coefficient K (mass fraction of penicillin in the...
The basal rate of consumption of O2 by a 70-kg human is about 16 mol of O2 per day. This O2 oxidizes food and is reduced to H2O, providing energy for the organism: O2 + 4H+ + 4e- 2H2O (a) To what...
On March 16, 1990, an Air Force SR-71 set a new continental speed record, averaging a velocity of 2112 mi/h at an altitude of 80,000 ft. Calculate the temperature (in degrees Fahrenheit) at a...
In low-speed incompressible flow, the peak pressure coefficient (at the minimum pressure point) on an NACA 0012 airfoil is 0.41. Estimate the critical Mach number for this airfoil, using the...
Growers use giant fans to prevent grapes from freezing when the effective sky temperature is low. The grape, which may be viewed as a thin skin of negligible thermal resistance enclosing a volume of...
Here is an immunoassay to measure explosives such as trinitrotoluene (TNT) in organic solvent extracts of soil. The assay employs a flow cytometer, which counts small particles (such as living cells)...
Two coils, one mounted on a stator and the other on a rotor, have self- and mutual inductances of L11 = 3.5mH L22 = 1.8mH L12 = 2.1cos mH where is the angle between the axes of the coils. The coils...
Determine the surface area and volume of the solid formed by revolving the shaded area 360? about the z axis. 75 mm 50 mm 300 mm 400 mm 50 mm 75 mm
A closed combustion chamber is designed so that it maintains a constant pressure of 300 kPa during a combustion process. The combustion chamber has an initial volume of 0.5 m3 and contains a...
A parallel chord Pratt truss is loaded as shown. Determine the force in members CE, DE, and DF. ESEN GAN AN 1SIN
A chairlift has been stopped in the position shown. Knowing that each chair weighs 300 N and that the skier in chair F weighs 800 N, determine the weight of the skier in chair E 285 14
A bayonet cooler is used to reduce the temperature of a pharmaceutical fluid. The pharmaceutical fluid flows through the cooler, which is fabricated of 10-mm-diameter, thin-walled tubing with two...
A 25-kg iron block initially at 350C is quenched in an insulated tank that contains 100 kg of water at 18C. Assuming the water that vaporizes during the process condenses back in the tank determine...
A particle moves along the spiral shown. Determine the magnitude of the velocity of the particle in terms of b,, and . re=b
In a coal gasification process, carbon (the primary constituent of coal) reacts with steam to produce carbon monoxide and hydrogen (synthesis gas). The gas may either be burned or subjected to...
The hydrocarbon feed to a distillation column is a bubblepoint liquid at 300 psia with the mole fraction composition, C 2 = 0.08, C 3 = 0.15, nC 4 = 0.20, nC 5 = 0.27, nC 6 = 0.20, and nC 7 = 0.10....
Consider a large furnace with opaque, diffuse, gray walls at 3000 K having an emissivity of 0.85. A small, diffuse, spectrally selective object in the furnace is maintained at 300 K. For the...
A random process X (t) is defined by X (t) = A cos (2? f c t), where A is a Gaussian-distributed random variable of zero means variance ?2A. This random process is applied to an ideal integrator,...
Suppose a UNIX disk block will hold 2048 disk addresses. What is the maximum-sized file using only the direct pointers? Single-indirection capability? Double-indirection capability?...
A polyisoprene membrane of 0.8-pm thickness is to be used to separate a mixture of methane and H2. Using the data in able 14.9 and the following compositions, estimate the mass transfer flux of each...
Two channels and two plates are used to form the column section shown. Determine the moments of inertia and the radii of gyration of the combined section with respect to the centroidal axes shown....
The condenser of a steam power plant consists of a square (in-line) array of 625 tubes, each of 25-mm diameters; consider conditions for which saturated steam at 0.105 bars condenses on the outer...
Three spheres, each of mass m, can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord of length l and are at rest in the position...
A stream of propane at an average temperature T = 566?R and absolute pressure P = 6.8 atm flows from a hydrocarbon processing plant to a nearby customer?s production facility. A technician at the...
The power spectral density of a narrowband noise n (t) is as shown in Figure. The carrier frequency is 5 HZ. (a) Find the power spectral densities of the in-phase and quadrature components of n (t)....
The two-member structure is connected at C by a pin, which is fixed to BDE and passes through the smooth slot in member AC. Determine the horizontal and vertical components of reaction at...
Two uniform disks of the same material are attached to a shaft as shown. Disk A has a weight of 10 lb and a radius r = 6 in. Disk B is twice as thick as disk A. Knowing that a couple M of magnitude...
What is the net force acting on a car cruising at a constant velocity of 70 km/h (a) On a level road and (b) On an uphill road?
Consider a 300 mm x 300 mm window in an aircraft. For a temperature difference of 80C from the inner to the outer surface of the window, calculate the heat loss through L = 10-mm-thick polycarbonate,...
The system in Fig P6.105 consists of 1200 m of 5 cm cast-iron pipe, two 45° and four 90° flanged long-radius elbows, a fully open flanged globe valve, and a sharp exit into a reservoir. If...
An elastic balloon behaves such that pressure is proportional to diameter and the balloon contains 0.5 kg air at 200 kPa, 30C. The balloon is momentarily connected to an air line at 400 kPa,...
Two friction disks A and B are brought into contact when the angular velocity of disk A is 240 rpm counterclockwise and disk B is at rest. A period of slipping follows and disk B makes 2 revolutions...
The 400-lb crate shown is lowered by means of two overhead cranes. Knowing that at the instant shown the deceleration of cable A is 3 ft/s2 and that of cable B is 1 ft/s2, determine the tension in...
Ethyl alcohol (ethanol) can be produced by the fermentation of sugars derived from trains and other agricultural products. Some countries without large petroleum and natural as reservessuch as...
For each section illustrated, find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Suppose a positive bending...
Assuming the upward reaction of the ground on beam AB to be uniformly distributed, (a) Draw the shear and bending-moment diagrams, (b) Determine the maximum absolute values of the shear and bending...
Two configurations are being considered in the design of a condensing system for steam at 1 atm employing a vertical plate maintained at 90C. The first configuration is a single vertical plate L X...
Determine the smallest horizontal force P required to move the wedge to the right. The coefficient of static friction at all contacting surfaces is ? s = 0.3. Set ? = 15 o? and F = 400 N. Neglect the...
A rectangular aluminum bar 12 mm thick and 50 mm wide is welded to fixed supports at the ends, and the bar supports a load W = 3.5 kN, acting through a pin as shown. Find the reactions at the...
The two blocks under the double wedge are brought together using a left and right square-threaded screw. If the mean diameter is d, the lead is rl, and the coefficient of static friction is s ,...
Benzene, a known carcinogen, has been spilled on the laboratory floor and has spread to a length of 2 m. If a film 1 mm deep is formed, how long will it take for the benzene to completely evaporate?...
Fully developed conditions are known to exist for water flowing through a 25-mm-diameter tube at 0.01 kg/s and 27C. What is the maximum velocity of the water in the tube? What is the pressure...
The temperature of flue gases flowing through the large stack of a boiler is measured by means of a thermocouple enclosed within a cylindrical tube as shown. The tube axis is oriented normal to the...
During a winter day, the window of a patio door with a height of 1.8 m and width of 1.0 m shows a frost line near its base. The room wall and air temperatures are 15C. (a) Explain why the window...
Bar AB is rotating counterclockwise and, at the instant shown, the magnitude of the velocity of point G is 2.5 m/s. Determine the angular velocity of each of the three bars at that instant. 150 mm 60...