A steel spur pinion has a pitch of 6 teeth/in, 17 full-depth milled teeth, and a pressure angle of 20. The pinion has an ultimate tensile strength at the involute surface of 116 kpsi, a Brinell...
Determine the horizontal and vertical components of force at each pin. The suspended cylinder has a weight W. Given: W = 80 lb d = 6 ft a = 3 ft e = 2 ft b = 4 ft r = 1 ft c = 4 ft B
Three identical small spheres, each of weight 2 lb, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when...
A closed-form expression for the mass flow through a choked nozzle is Derive this expression. m PoA* To Y 2 R\y+1, (y+1)/(y-1)
Argon diffuses through a high density polyethylene (HDPE) sheet 40 mm thick at a rate of 4.0 107 (cm3 STP)/cm2-s at 325 K. The pressures of argon at the two faces are 5000 kPa and 1500 kPa, which...
A spherical shell with outer radius b surrounds a charge-free cavity of radius a Where v0 is a positive constant, determine D in all regions. Pro Pr = R- a
A 90-N force is applied to the control rod AB as shown. Knowing that the length of the rod is 225 mm, determine the moment of the force about point B by resolving the force into components along AB...
Knowing that at the instant shown bar AB has a constant angular velocity of 19 rad/s clockwise, determine (a) The angular acceleration of bar BGD, (b) The angular acceleration of bar DE. G -15.2 in....
Suppose three processer, p1, p2, and p3, are attempting to use a machine with interrupt-driven I/O concurrently. Suppose p1 has tcompute = 20 and tdevice = 50, p2 has tcompute = 30 and tdevice =10,...
Use the Underwood equations to estimate the minimum external-reflux ratio for the separation by distillation of 30 mol% propane in propylene to obtain 99 mol% propylene and 98 mol% propane, if the...
A room is cooled by circulating chilled water through a heat exchanger located in a room. The air is circulated through the heat exchanger by a 0.25-hp (shaft output) fan. Typical efficiency of small...
The sulfur dioxide content of a stack gas is monitored by passing a sample stream of the gas through an SO 2 analyzer. The analyzer reading is 1000 ppm 5O 2 (parts per million on a molar basis). The...
A radiator on a proposed satellite solar power station must dissipate heat being generated within the satellite by radiating it into space. The radiator surface has a solar absorptivity of 0.5 and an...
(a) The true absorbance of a sample is 1.500, but 0.50% stray light reaches the detector. Find the apparent transmittance and apparent absorbance of the sample. (b) How much stray light can be...
Determine the normal force, shear force, and moment at a section passing through point D of the two-member frame. Units Used: kN = 103 N Given: w = 400N/m a = 2.5 m b = 3 m c = 6 m -
Determine the maximum uniform loading w, measured in lb/ft, that the cable can support if it is capable of sustaining a maximum tension Tmax before it will break. Given: Tmax = 3000 lb a = 50 ft b =...
A plane wall of thickness 0.1 m and thermal conductivity 25 W/m K having uniform volumetric heat generation of 0.3 MW/m3 is insulated on one side, while the other side is exposed to a fluid at 92C....
The system shown is in equilibrium when en = 0. Knowing that initially =90? and that block C is given a slight nudge when the system is in that position, determine the velocity of the block as it...
An open tubular column is 30.1 m long and has an inner diameter of 0.530 mm. It is coated on the inside wall with a layer of stationary phase that is 3.1 m thick. Unretained solute passes through in...
Consider the titration of 25.00 mL of 0.08230 M KI with 0.051 10 M AgNO3. Calculate pAg+ at the following volumes of added AgNO3: (a) 39.00 mL; (b) Ve; (c) 44.30 mL.
The rectangular platform is hinged at A and B and is supported by a cable that passes over a frictionless hook at E. Knowing that the tension in the cable is 1349 N, determine the moment about each...
A double-scissor lift table is used to raise a 450-kg machine component. The table consists of a platform and two identical linkages on which hydraulic cylinders exert equal forces. (Only one linkage...
Which solutions of the following equations will exhibit convergent behavior? Which are oscillatory? All of the above differential equations have one common factor in their characteristic equations....
A solution was prepared from 10.0 mL of 0.100 M cacodylic acid and 10.0 mL of 0.0800 M NaOH. To this mixture was added 1.00 mL of 1.27 10-6 M morphine. Calling morphine B, calculate the fraction of...
At the instant shown, the velocity of collar A is 0.4 m/s to the right and the velocity of collar B is 1 m/s to the left. Determine (a) The angular velocity of bar AD, (b) The angular velocity of bar...
A hemisphere of weight W and radius r is released from rest in the position shown. Determine (a) The minimum value of s for which the hemisphere starts to roll without sliding, (b) The corresponding...
An air conditioner cools 226m3/min of humid air at 36C and 98% relative humidity to 10C. (a) Do a degree-of-freedom analysis to prove that enough information is available to determine the required...
Rhenium has an HCP crystal structure, an atomic radius of 0.137 nm, and a c/a ratio of 1.615. Compute the volume of the unit cell for Re.
Determine the specific volume of superheated water vapor at 3.5 MPa and 450C based on (a) The ideal-gas equation, (b) The generalized compressibility chart, and (c) The steam tables. Deter mine the...
Assume that the composite described in Problem 16.8 has a cross-sectional area of 320 mm2 (0.50 in.2) and is subjected to a longitudinal load of 44,500 N (10,000lbf). (a) Calculate the fibermatrix...
A 20-kip load is carried by the crane hook shown in the figure. The cross section of the hook uses two concave flanks. The width of the cross section is given by b = 2/r, where r is the radius from...
The strength and stability of tires may be enhanced by heating both sides of the rubber (k = 0.14 W/m K. a = 6.35 x 10-8 m2/s) in a steam chamber for which T = 200C. In the heating process, a...
The tension in the cable attached to the end C of an adjustable boom ABC is 1000 N. Replace the force exerted by the cable at C with an equivalent force-couple system (a) At A, (b) At B.
Using the Prandtl-Glauert rule, calculate the lift coefficient for an NACA 2412 airfoil at 5 angle of attack in a Mach 0.6 free stream. (Refer to Fig. 4.5 for the original airfoil data.)
Eight fluid ounces (1 qt = 32 oz) of a beverage in a glass at 18.0C is to be cooled by adding ice and stirring. The properties of the beverage may be taken to be those of Liquid water. The enthalpy...
A 3-lb force P is applied to the lever which controls the auger of a snow blower. Determine the moment of P about A when α is equal to 30°. -34 in- 45 in.
A liquid mixture containing 70.0 mol of n -pentane and 30.0 mol of n -hexane initially at 46?C is partially vaporized at P = 1 atm in a single-stage distillation apparatus (Rayleigh still). The heat...
How many moles of HCl can be produced from 0.226 g of SOCl2? SOCl2() + H2O() ( SO2(g) + 2HCl(g)
Three couple moments act on the pipe assembly. Determine the magnitude of M3 and the bend angle θ so that the resultant couple moment is zero. Given: θ1 = 45 deg M1 = 900 N m M2 = 500 N m...
A steel rod is bent into a semicircular ring of radius 36 in. and is supported in part by cables BD and BE which are attached to the ring at B. Knowing that the tension in cable BE is 60 lb,...
Consider flow over a flat plate for which it is desired to determine the average heat transfer coefficient over the short span x1 to x2, h1 2 where (x2 x1) Provide three different expressions that...
A worker tries to move a rock by applying a 360-N force to a steel bar as shown. (a) Replace that force with an equivalent force-couple system at D. (b) Two workers attempt to move the same rock by...
A sulfuric acid solution is labeled 8N (where IN = 1 g-equivalent /L, and I mol of H2SO4 contains two g-equivalents). The specific gravity of the solution is 1.230, and its heat capacity is 3.00 J/...
If L = 9m, the beam will fail when the maximum shear force is V max = 5kN or the maximum bending moment is M max = 3kN m. Determine the magnitude M0 of the largest couple moments it will support.
An offset tensile link is shaped to clear an obstruction with a geometry as shown in the figure. The cross section at the critical location is elliptical, with a major axis of 3 in and a minor axis...
A section of track for a roller coaster consists of two circular arcs AB and CD joined by a straight portion BC. The radius of AB is 27 m and the radius of CD is 72 m. The car and its occupants, of...
A 20 half-angle wedge is mounted at 0 angle of attack in the test section of a supersonic wind tunnel. When the tunnel is operating, the wave angle from the wedge leading edge is measured to be 41.8....
Water flows through the duct in Fig P3.57, which is 50 cm wide and 1 m deep into the paper. Gate BC completely closes the duct when β = 90°. Assuming one-dimensional flow, for what angle...
An insulated pistoncylinder device contains 2 L of saturated liquid water at a constant pressure of 150 kPa. An electric resistance heater inside the cylinder is turned on, and electrical work is...
A marker for a garden path consists of a truncated regular pyramid carved from stone of density 2570 kg/m3. The pyramid is mounted on a steel base of thickness h. Knowing that the density of steel is...
Ninety kilograms of sodium nitrate is dissolved in 110 kg of water. When the dissolution is complete (at time r = 0), pure water is fed to the tank at a constant rate m (kg/min), and solution is...
A furnace is constructed in three sections, which include insulated circular (2) and cylindrical (3) sections, as well as an intermediate cylindrical section (1) with imbedded electrical resistance...
The sleepy Barber Problem. A barbershop is designed so that there is a private room that contains the barber chair and an adjoining waiting room with a sliding door that contains N chairs (see Figure...
Determine the reactions at the fixed support E and the smooth support A. The pin, attached to member BD, passes through a smooth slot atD. 600 N 0.4 m 0,4 m -0.3 m- -0.3 m- -0.3 m- 0.3 m-
Draw the free-body diagram of the sphere of weight W resting between the smooth inclined planes. Explain the significance of each force on the diagram. Given: W = 10 lb 1 = 105 deg 2 = 45 deg B
A uniform rod AB of weight W and length 2R rests inside a hemispherical bowl of radius R as shown. Neglecting friction determine the angle corresponding to equilibrium. B 2R
A stream of oxygen at 65C and 8.3 atm flows at a rate of 250 kg/h. Use the SRK equation of state to estimate the volumetric flow rate of this stream.
Estimate the specific enthalpy of steam (kJ/kg) at 350C and 100 bar relative to steam at 100C and 1 atm using: (a) The steam tables. (b) Table B.2 and assuming ideal gas behavior. What is the...
Air at 25C with a dew-point temperature of 0C flows past the open end of a vertical tube filled with liquid water maintained at 25C. The tube has an inside diameter of 0.83 in., and the liquid level...
A 2-mm-diameter electrical wire is insulated by a 2-mm-thick rubberized sheath (k = 0.13 W/m K), and the wire/sheath interface is characterized by a thermal contact resistance of R c = 3 X 10 -4 m 2...
A natural convection air heater consists of an array of parallel, equally spaced vertical plates, which may be maintained at a fixed temperature Ts by embedded electrical heaters. The plates are of...
The spectral, directional emissivity of a diffuse material at 2000 K has the following distribution: Determine the total, hemispherical emissivity at 2000 K. Determine the emissive power over the...
A gear and shaft with nominal diameter of 1.5 in are to be assembled with a medium drive fit, as specified in Table 79. The gear has a hub, with an outside diameter of 2.5 in, and an overall length...
The jet pump in Fig P3.36 injects water at U1 = 40 m/s through a 3-in pipe and entrains a secondary flow of water U2 = 3 m/s in the annular region around the small pipe. The two flows become fully...
In a circus act, an aerialist performs a handstand on a wheel while being pulled across a high wire ABC of length 8 m by another performer as shown. Knowing that the aerialist weighs 720 N and is...
Species A is evaporating from a flat surface into species B. Assume that the concentration profile for species A in the concentration boundary layer is of the form CA(y) = Dy2 + Ey + F, where D, E,...
A common arrangement for heating a large surface area is to move warm air through rectangular ducts below the surface. The ducts are square and located midway between the top and bottom surfaces that...
Consider a thin, symmetric airfoil at 1.5 angle of attack. From the results of thin airfoil theory, calculate the lift coefficient and the moment coefficient about the leading edge.
A simplified version of the life cycle of grocery sacks is shown below. 4 In the late 1970s, supermarkets began to replace paper sacks with polyethylene (plastic) sacks. In the 1980s, a movement to...
Air at a flow rate of 12,000 scfm (60?F, 1 atm) and containing 0.5 mol% ethyl acetate (EA) and no water vapor is to be treated with activated carbon (C) (?b = 30 lb/ft3) with an equivalent particle...
Determine the magnitudes of F1, F2, and F3 for equilibrium of theparticle. 135 800 Ib 60 200 lb
A 285-lb uniform rectangular plate is supported in the position shown by hinges A and B and by cable DCE which passes over a frictionless hook at C. Assuming that the tension is the same in both...
A typical electric water heater has an efficiency of 90 percent and costs $390 a year to operate at a unit cost of electricity of $0.08/kWh. A typical heat pump-powered water heater has a COP of 2.2...
An electric immersion heater, 10 mm in diameter and 300 mm long, is rated at 550 W. If the heater is horizontally positioned in a large tank of water at 20C, estimate its surface temperature....
Packages are thrown down an incline at A with a velocity of 4 ft/s. The packages slide along the surface ABC to a conveyor belt which moves with a velocity of 8 ft/s. Knowing that k = 0.25 between...
An aqueous solution containing 85.0 wt% H2SO4 at 60F (specific gravity = 1.78) is diluted with pure liquid water at the same temperature. The feed solution volume is 350 mL. The mixing may be...
A 2.5-cm-OD, 2-cm-ID copper pipe carriers liquid oxygen to the storage site of a space shuttle at ??183?C and 0.04 m3/min. The ambient air is at 21?C and has a dew point of 10?C. How much insulation...
A small sphere of weight W is held as shown by two wires AB and CD. Ifwire AB is cut, determine the tension in the other wire(a) Before AB is cut,(b) Immediately after AB has beencut. A 50 B 70 D
An aqueous solution of potassium hydroxide is fed at a rate of 875 kg/h to an evaporative crystallizer operating at 10C, producing crystals of KOH 2 H 2 O. A 5 g aliquot of the feed solution is...
Steam enters an adiabatic turbine at 10 MPa and 500C and leaves at 10 kPa with a quality of 90 percent. Neglecting the changes in kinetic and potential energies, determine the mass flow rate required...
A vertical column of A36 structural steel (Sy = 36 kpsi, Sut = 5880 kpsi) is 10 in wide. An attachment has been designed to the point shown in the figure. The static load of 20 kip is applied, and...
In Fig P6.109 there are 125 ft of 2-in pipe, 75 ft of 6-in pipe, and 150 ft of 3-in pipe, all cast iron. There are three 90° elbows and an open globe valve, all flanged. If the exit elevation is...
Bar BDE is attached to two links AB and CD. Knowing that at the instant shown link AB rotates with a constant angular velocity of 3 rad/s clockwise, determine the acceleration (a) Of point D, (b) Of...
One thousand kilomoles per hour of rich gas at 70F with 25% C1, 15% C2,25% C3, 20% nC4, and 15% nC5 by moles is to be absorbed by 500 kmol/h of nC10 at 90F in an absorber operating at 4 atm....
Air enters the compressor of a regenerative gas-turbine engine at 300 K and 100 kPa, where it is compressed to 800 kPa and 580 K. The regenerator has an effectiveness of 72 percent, and the air...
A uniform slender rod of length h L = 900 mm and mass m = 1 kg hangs freely from a hinge at A. If a force P of magnitude 3.5 N is applied at B horizontally to the left (h = L), determine (a) The...
Falling sphere in Newton's drag-law region, a sphere initially at rest at z = 0 falls under the influence of gravity. Conditions are such that, after a negligible interval, the sphere falls with a...
Saturated water vapor leaves a steam turbine at a flow rate of 1.5 kg/s and a pressure of 0.51 bar. The vapor is to be completely condensed to saturated liquid in a shell-and-tube heat exchanger that...
An insulated vertical piston - cylinder device initially contains 0.11 m3 of air at 150 kPa and 22C. At this state, a linear spring touches the piston but exerts no force on it. The cylinder is...
The maximum blood pressure in the upper arm of a healthy person is about 120 mm Hg. If a vertical tube open to the atmosphere is connected to the vein in the arm of the person, determine how high the...
In large steam power plants, the feedwater is frequently heated in closed feedwater heaters, which are basically heat exchangers, by steam extracted from the turbine at some stage. Steam enters the...
Benzaldehyde is produced from toluene in the catalytic reaction C6H5CH3 + O2 C6HCH0 + H2O Dry air and toluene vapor are mixed and fed to the reactor at 350F and I atm. Air is supplied in 100%...
A shell-and-tube heat exchanger is to heat an acidic liquid that flows in un-finned tubes of inside and outside diameters D i = 10 mm and D o = 11 mm, respectively. A hot gas flows on the shell side....
A pistoncylinder device initially contains 0.6 kg of steam with a volume of 0.1 m3. The mass of the piston is such that it maintains a constant pressure of 800 kPa. The cylinder is connected through...
A counter flow, concentric tube heat exchanger used for engine cooling has been in service for an extended period of time. The heat transfer surface area of the exchanger is 5 m 2 , and the design...
Barium sulfate is reduced with carbon as part of the manufacture of lithopone, a white pigment: 2 BaSO4 (s) + 4 C (s) 2BaS (s) + 4 CO2 (g) A mixture of crushed barite (an ore containing xB kg...
Vapor-liquid equilibrium data in mole fractions for the system acetone-air-water at 1 atm (101.3 Pa) are as follows: (a) Plot the data as (1) a graph of moles acetone per mole air versus moles...
Consider a U-tube whose arms are open to the atmosphere. Now water is poured into the U-tube from one arm, and light oil (r = 790 kg/m3) from the other. One arm contains 70-cm-high water, while the...
Complete the blank cells in the following table of properties of refrigerant-134a. In the last column describe the condition of refrigerant-134a as compressed liquid, saturated mixture, superheated...
A successful California engineer has installed a circular hot tub in his back yard and finds that for the typical operating conditions prescribed below, water must be added at a rate of 0.00 I kg/s...