A geothermal pump is used to pump brine whose density is 1050 kg/m3 at a rate of 0.3 m3/s from a depth of 200 m, For a pump efficiency of 74 percent, determine the required power input to the pump....
A building window pane that is 1.2 m high and 0.8 m wide is separated from the ambient air by a storm window of the same height and width. The air space between the two windows is 0.06 m thick. If...
A 180-lb man and a 120-lb woman stand at opposite ends of a 300-lb boat, ready to dive, each with a 16-ft/s velocity relative to the boat. Determine the velocity of the boat after they have both...
A heat pump with a COP of 2.4 is used to heat a house. When running, the heat pump consumes 8 kW of electric power. If the house is losing heat to the outside at an average rate of 40,000 kJ/h and...
The area shown is revolved about the x axis to form a homogeneous solid of revolution of mass m. Determine by direct integration the mass moment of inertia of the solid with respect to (a) The x...
Ammonia is oxidized with air to form nitric oxide in the first step of the production of nitric acid. Two principal reactions occur: 4 NH 3 + 5O 2 ? 4NO + 6H 2 O 2 NH 3? + 3/2 O 2? ? N 2? + 3H 2 O A...
The spectral absorptivity of a large diffuse surface is ? ? = 0.9 for A ? = 0.3 for ? > 1?m. The bottom of the surface is well insulated while the top may be exposed to one of two different...
The pressure gauge on a 20.0 m3 tank of nitrogen at 25C reads 10bar. Estimate the mass of nitrogen in the tank by (a) Direct solution of the ideal gas equation of state and (b) Conversion from...
Benzene and hexane are being considered as solvents to extract acetic acid from aqueous mixtures. At 30C, distribution coefficients for the two solvents are K B = 0.098 mass fraction acetic acid in...
An 8-oz package is projected upward with a velocity v0 by a spring at A; it moves around a frictionless loop and is deposited at C. For each of the two loops shown, determine (a) The smallest...
A 60-hp four-cylinder internal combustion engine is used to drive a brick-making machine under a schedule of two shifts per day. The drive consists of two 26-in sheaves spaced about 12 ft apart, with...
A wet cooling tower is to cool 60 kg/s of water from 40 to 26°C. Atmospheric air enters the tower at 1 atm with dry- and wet-bulb temperatures of 22 and 16°C, respectively, and leaves at...
Draw the free-body diagram of the uniform bar, which has mass M and center of mass at G. The supports A, B, and C are smooth. Given: M = 100 kg a = 1.75 m b = 1.25 m c = 0.5 m d = 0.2 m g = 9.81m/s2...
A liquid-phase chemical reaction with stoichiometry A B takes place in a semi batch reactor. The rate of consumption of A per unit volume of the reactor contents is given by the first-order rate...
(a) If a rod of 1025 steel 0.5 m (19.7 in.) long is heated from 20 to 80C (68 to 176F) while its ends are maintained rigid, determine the type and magnitude of stress that develops. Assume that at...
Phosgene (CC1 2 O) is a colorless gas that was used as an agent of chemical warfare in World War I. It has the odor of newly mown hay (which is a good warning if you know the smell of newly mown...
Using superposition, find the deflection of the steel shaft at A in the figure. Find the deflection at midspan. By what percentage do these two valuesdiffer? 24 in 340 lbf 150 lbf/ft 1.5 in-dia. shaft
Consider the isentropic flow through a supersonic nozzle. If the test-section conditions are given by p = 1atm, T = 230 K, and M = 2, calculate the reservoir pressure and temperature.
Consider a flat plate at an angle of attack a to a Mach 2.4 airflow at 1atm pressure. What is the maximum pressure that can occur on the plate surface and still have an attached shock wave at the...
Approximations to Planck's law for the spectral emissive power are the Wien and Rayleigh-Jeans spectral distributions, which are useful for the extreme low and high limits of the product ?T,...
A load Q is applied to the pulley C, which can roll on the cable ACB. The pulley is held in the position shown by a second cable CAD, which passes over the pulley A and supports a load P. Knowing...
Gold forms a substitutional solid solution with silver. Compute the number of gold atoms per cubic centimeter for a silver-gold alloy that contains 10 wt% Au and 90 wt% Ag. The densities of pure gold...
Repeat Prob. 54 by first plotting the failure loci in the A , B plane to scale; then, for each stress state, plot the load line and by graphical measurement estimate the factors of safety.
Determine the force in members CD and GF of the truss and state if the members are in tension or compression. Also indicate all zero-force members. Units Used: kN = 103 N Given: F1 = 1.5kN F2 = 2kN a...
Determine (a) The distance a so that the vertical reaction at support B is minimum, (b) The corresponding reactions at the supports. 120 l/ft 40 lb/ft -12ft-
(a) Calculate the heat flux through a sheet of steel 10 mm (0.39 in.) thick if the temperatures at the two faces are 300 and 100C (572 and 212F); assume steady-state heat flow. (b) What is the heat...
The following data were obtained when a Ca 2+ ion-selective electrode was immersed in standard solutions whose ionic strength was constant at 2.0 M. (a) Prepare a calibration curve and find the...
A computer tape moves over the two drums shown. Drum A weighs 1.4 lb and has a radius of gyration of 0.75 in., while drum B weighs 3.5 lb and has a radius of gyration of 1.25 in. In the lower portion...
A 360-lb motor is bolted to a light horizontal beam. The unbalance of its rotor is equivalent to a 0.9-oz weight located 7.5 in. from the axis of rotation, and the static deflection of the beam due...
Determine the reactions at the beam supports for the given loading. 2 kN/m B. 2.5 kN/m -1.2 m 1.8 m
Determine the horizontal and vertical components of force that the pins A and B exert on the two-member frame. Given: w = 400 N/m a = 1.5 m b = 1 m c = 1 m F = 0 N = 60 deg B w
A hygrometer is used to measure the moisture content of humid air. Calibration of the instrument leads to a straight line on a semi log plot of y, the mole fraction of water in air (logarithmic...
For the frame and loading shown, determine the components of all forces acting on member ABCD. S0 mm 200 mm S0 mm 100 mn 150 mm 4. 45 IS0 N
The pressure upstream of a normal shock wave is 1 atm. The pressure and temperature downstream of the wave are 10.33atm and 1390R, respectively. Calculate the Mach number and temperature upstream of...
The lives of parts are often expressed as the number of cycles of operation that a specified percentage of a population will exceed before experiencing failure. The symbol L is used to designate this...
The shaft shown in the figure carries a 20-lbf gear on the left and a 35-lbf gear on the right. Estimate the first critical speed due to the loads, the shafts critical speed without the loads, and...
During some actual expansion and compression processes in pistoncylinder devices, the gases have been observed to satisfy the relationship PVn = C, where n and C are constants. Calculate the work...
A stream of refrigerant-134a at 1 MPa and 12C is mixed with another stream at 1 MPa and 60C. If the mass flow rate of the cold stream is twice that of the hot one, determine the temperature and the...
Electricity and process heat requirements of a manufacturing facility are to be met by a cogeneration plant consisting of a gas turbine and a heat exchanger for steam production. The plant operates...
Three forces and a couple act on crank ABC. For P = 25 N and α = 40°, (a) Determine the resultant of the given system of forces, (b) Locate the point where the line of action of the...
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b. y=
Two friction disks A and B are to be brought into contact without slipping when the angular velocity of disk A is 240 rpm counterclockwise. Disk A starts from rest at time t = 0 and is given a...
Bar AB is rotating clockwise and, at the instant shown, the magnitude of the velocity of point G is 3.6 m/s. Determine the angular velocity of each of the three bars at that instant. 120 mm B 145 120...
A porous-glass membrane, with an average pore diameter of 40 a, is to be used to separate light gases at 25 o C under conditions where Knudsen flow may be dominant. The downstream pressure is 15...
(a) Find an expression for the amount of derivative kick that wilt bc applied to the process when using the position form of the PID digital algorithm (Eq. 8-26) if a step set-point change of...
For the wire form shown, determine the deflection of point A in the y direction. Assume R/h > 10 and consider the effects of bending and torsion only. The wire is steel with E = 200 GPa, ν = 0.29,...
A transistor, which may be approximated as a hemispherical heat source of radius r 0 = 0.1 mm. is embedded in a large silicon substrate (k = 125 W/m K) and dissipates heat at a rate q. All...
A 0.35-m3 vessel holds ethane vapor at 25(C and 2,200 kPa. If it is heated to 220(C. what pressure is developed?
Liquid hydrazine (SO = 0.82) undergoes a family of decomposition reactions that can be represented by the stoichiometric expression 3 N 2 H 4 6x H 2 + (1 + 2x) N 2 + (4 4x) NH 3 (a) For what range...
A photovoltaic solar panel consists of a sandwich of (top to bottom) a 3-mm-thick ceria-doped glass (kg = 1.4 W/m K), a 0.1-mm-thick optical grade adhesive (ka = 145 W/m K), a very thin silicon...
A small atomic bomb releases energy equivalent to the detonation of 20,000 tons of TNT; a ton of TNT releases 4 X 109 J of energy when exploded. Using 2 X 1013 J/mol as the energy released by fission...
The Chicago North Shore & Milwaukee Railroad was an electric railway running between the cities in its corporate title. It had passenger cars as shown in the figure, which weighed 104.4 kip, had...
The one-dimensional system of mass M with constant properties and no internal heat generation shown in the figure is initially at a uniform temperature T i . The electrical heater is suddenly...
Velocity distribution in turbulent pipe flow water is flowing through a long, straight, level run of smooth 6.00 in. i.d. pipe, at a temperature of 68 o F. The pressure gradient length of the pipe is...
Estimate the remaining life in revolutions of an 02-30 mm angular-contact ball bearing already subjected to 200 000 revolutions with a radial load of 18 kN, if it is now to be subjected to a change...
A window awning is fabricated from sheet metal of uniform thickness. Locate the center of gravity of the awning.
A shell-and-tube exchanger (two shells, four tube passes) is used to heat 10,000 kg/h of pressurized water from 35 to 120C with 5000 kg/h pressurized water entering the exchanger at 300C. If the...
A rigid, nonconducting tank with a volume of 4 m3 is divided into two unequal parts by a thin membrane. One side of the membrane, representing 1/3 of the tank, contains nitrogen gas at 6 bar and...
A solid round steel bar is machined to a diameter of 1.25 in. A groove 1/8 in deep with a radius of 1/8 in is cut into the bar. The material has a mean tensile strength of 110 kpsi. A completely...
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...
A utility hook was formed from a 1-in-diameter round rod into the geometry shown in the figure. What are the stresses at the inner and outer surfaces at section A-A if the load F is 1000 lbf? in 10...
Spray cooling is a technique for cooling and either humidifying or dehumidifying air by contacting it with a liquid water spray. The liquid water leaving the tower is re-circulated and, in the case...
Radiation leaves a furnace of inside surface temperature 1500 K through an aperture 20 mm in diameter. A portion of the radiation is intercepted by a detector that is 1 m from the aperture, has a...
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 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)
A torsion-bar spring consists of a prismatic bar, usually of round cross section, that is twisted at one end and held fast at the other to form a stiff spring. An engineer needs a stiffer one than...
Consider a sphere of radius R immersed in a uniform stream Uo, as shown in Fig. P4.7. According to the theory of Chap. 8, the fluid velocity along streamline AB is given by v = ui = Uo (1+R3/x3) i...
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....
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 refrigerator uses refrigerant-134a as the working fluid and operates on the ideal vapor-compression refrigeration cycle. The refrigerant enters the evaporator at 120 kPa with a quality of 30...
An object whose mass is 300 lb experience changes in its kinetic and potential energies owing to the action of a resultant force R. the work done on the object by the resultant force is 140 Btu....
An open vessel containing 0.205lbm of liquid water is placed in an empty room 5 ft wide. 4 ft deep and 7 ft high which initially contains dry air at 90F all the water evaporates without changing the...
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,...
If the resultant couple of the three couples acting on the triangular block is to be zero, determine the magnitude of forces F and P. Given: F1 = 150 N a = 300 mm b = 400 mm d = 600 mm -F -P b-
A boat is moving to the right with a constant deceleration of 0.3 m/s2 when a boy standing on the deck D throws a ball with an initial velocity relative to the deck which is vertical. The ball rises...
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...
A scheme for concurrently heating separate water and air streams involves passing them through and over an array of tubes, respectively, while the tube wall is heated electrically. To enhance...
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 gas-turbine plant operates on the regenerative Brayton cycle with two stages of reheating and two-stages of intercooling between the pressure limits of 100 and 1200 kPa. The working fluid is air....
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 =...
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 iron bar 2.00 cm x 3.00 cm x 10.0 cm at a temperature of 95C is dropped into a barrel of water at 25C. The barrel is large enough so that the water temperature rises negligibly as the bar cools....
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 band belt is used to control the speed of a flywheel as shown. Determine the magnitude of the couple being applied to the flywheel knowing that the coefficient of kinetic friction between the belt...
A cubical glass melting furnace has exterior dimensions of width W = 5 m on a side and is constructed from refractory brick of thickness L = 0.35 m and thermal conductivity k = 1.4 W/m. K. The sides...
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) 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...
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....
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
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.
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...
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...
The two-winding magnetic circuit of figure has a winding on a fixed yoke and a second winding on a moveable element. The moveable element is constrained to motion such that the lengths of both air...
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 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...
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...
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 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....
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.)