The beam is subjected to the parabolic loading. Determine an equivalent force and couple system at pointA. 400 Ib/ft
Viscous heating in a ball-point pen, you are asked to decide whether the apparent decrease in viscosity in ball-point pen inks during writing results from "shear thinning" (decrease in viscosity...
A six-pole, 60-Hz synchronous machine has a rotor winding with a total of 138 series turns and a winding factor kr = 0.935. The rotor length is 1.97 m, the rotor radius is 58 cm, and the air-gap...
You are asked to design a packed column to recover acetone from air continuously, by absorption with water at 60F. The air contains 3 mol% acetone, and a 97% recovery is desired. The gas flow rate is...
The maximum band interface pressure on the brake shown in the figure is 90 psi. Use a 14-indiameter drum, a band width of 4 in, a coefficient of friction of 0.25, and an angle-of-wrap of 270. Find...
In Fig P3.154 the exit nozzle is horizontal. If losses are negligible, what should the water level h cm be for the free jet to just clear the wall? R0 c 80 cm Thin wall o em
Determine by direct integration the centroid of the area shown. Express your answer in terms of a and h.
A spherical satellite of diameter D is in orbit about the earth and is coated with a diffuse material for which the spectral absorptivity is ?? = 0.6 for A 3?m. When it is on the "dark" side of the...
A conventional multiloop control scheme consisting of two PI controllers is to be used to control the product compositions xD and xB of the distillation column shown in Fig. The manipulated variables...
Determine the moment of each force about the bolt located at A. Given: FB = 40 lb a = 2.5 ft α = 20 deg γ = 30 deg FC = 50 lb b = 0.75 ft β = 25 deg Fc FB
Forced air at 25C and 10 m/s is used to cool electronic elements mounted on a circuit board. Consider a chip of length 4 mm and width 4 mm located 120 mm from the leading edge. Because the board...
A sheet of cellulose acetate film containing 5.00wt% liquid acetone enters an adiabatic dryer where 90% of the acetone evaporates into a stream of dry air flowing over the film. The film enters the...
To lift a heavy crate, a man uses a block and tackle attached to the bottom of an I-beam at hook B. Knowing that the man applies a 200-lb force to end A of the rope and that the moment of that force...
Consider a subsonic compressible flow in Cartesian coordinates where the velocity potential is given by If the free stream properties are given by V? = 700 ft/s, p? = 1atm, and T? = 519R, calculate...
The adiabatic flame temperature of a fuel is the temperature achieved if the fuel is burned completely in a perfectly insulated container. You are performing an experiment to measure the adiabatic...
Two systems contain water, acetone, and methyl isobutyl ketone in equilibrium at 25C. The first system contains equal masses of the three species, and the second one contains 9.0% acetone, 21.0%...
Find the power required to drive a 40-mm power screw having double square threads with a pitch of 6 mm. The nut is to move at a velocity of 48 mm/s and move a load of F = 10 kN. The frictional...
The angle between the spring AB and the post DA is 30°. Knowing that the tension in the spring is 220 N, determine (a) The x, y, and z components of the force exerted by this spring on the plate,...
Some consequences of the Maxwell-Boltzmann distribution, in the simplified kinetic theory in S1.4, several statements concerning the equilibrium behavior of a gas were made without proof. In this...
A plant has a batch of 100 kmol of a liquid mixture containing 20 mol% benzene and 80 mol% chlorobenzene. It is desired to rectify this mixture at 1 atm to obtain bottoms containing only 0.1 mol%...
A dry gas containing 10.0% NH 3 by volume is contacted with water at 10C and 1 atm in a single-stage bubble contactor. The effluent liquid and gas streams may be considered to be in equilibrium with...
Determine the mass moment of inertia Iy of the solid formed by revolving the shaded area around the axis. The total mass of the solid is 1500kg. 4 m 2 m
Derive the equations given for beam 2 in Table A9 using statics and the double-integration method.
Two identical cars A and B are at rest on a loading dock with brakes released. Car C, of a slightly different style but of the same weight, has been pushed by dockworkers and hits car B with a...
Sodium bicarbonate is synthesized by reacting sodium carbonate with carbon dioxide and water at 70C and 2.0 atm gauge: Na 2 CO 3 + CO 2 + H 2 0 2 NaHCO 3 an aqueous solution containing 7.00 wt%...
Consider the following program: Const int n = 50; Int tally; Void total () { Int count; For (count = 1; count
Steam enters a turbine at 12 MPa, 550°C, and 60 m/s and leaves at 20 kPa and 130 m/s with a moisture content of 5 percent. The turbine is not adequately insulated and it estimated that heat is...
A certain natural gas has the following volumetric analysis: 65 percent CH4, 8 percent H2, 18 percent N2, 3 percent O2, and 6 percent CO2. This gas is now burned completely with the stoichiometric...
A helicopter is flying with a constant horizontal velocity of 90 mi/h and is directly above point A when a loose part begins to fall. The part lands 6.5 s later at point B on an inclined surface....
A 13.6-kg block is supported by the spring arrangement shown. If the block is moved from its equilibrium 44 mm vertically downward and released, determine (a) The period and frequency of the...
Force on a surface of arbitrary orientation? (Figure 1D.2) Consider the material within an element of volume OABC that is in a state of equilibrium, so that the sum of the forces acting on the...
Pumping a hydrochloric acid solution (Fig. 7A.2), a dilute HC1 solution of constant density and viscosity ( p = 62.4lb m /ft 3 , = 1 cp) is to be pumped from tank I to tank 2 with no overall change...
You are performing an experiment in which the concentration, CA, of a reactive species is measured as a function of time, t, at several temperatures, T. At a fixed temperature, CA varies with t...
An electric furnace consisting of two heater sections, top and bottom, is used to heat treat a coating that is applied to both surfaces of a thin metal plate inserted midway between the heaters. The...
One thousand cubic feet per hour of a 10 mol% NH3 in air mixture is required to produce nitrogen oxides. This mixture is to be obtained by desorbing an aqueous 20 wt% NH3 solution with air at 20C....
Calculate the percentage error obtained if Prob. 7.9 is solved using (incorrectly) the incompressible Bernoulli equation.
Formaldehyde is produced by decomposing methanol over a silver catalyst: CH3OH HCHO + H2 To provide heat for this endothermic reaction, some oxygen is included in the feed to the reactor leading to...
Find Vaf and Vec in the circuit shown. +1 V 12 V 3 V 2 W -2V + -1V e
Given vectors A = x + y2 _ z3, B = x2 _ y4, and C = y2 _z4, find (a) A and a, (b) The component of B along C, (c) AC, (d) A x C, (e) A. (B ^ C), (f) A x (B x C), (g) x x B, and (h) (A x y) z.
A man attempts to lift the uniform ladder of weight W to an upright position by applying a force P perpendicular to the ladder at rung R. Determine the coefficient of static friction between the...
Radiant heating requirement, a shed is rectangular in shape, with the floor 15 ft by 30 ft and the roof 7.5 ft above the floor. The floor is heated by hot water running through coils. On cold winter...
A 2000-liter tank initially contains 400 liters of pure water. Beginning at t = 0, an aqueous solution containing 1.00 g/L of potassium chloride flows into the tank at a rate of 8.00 L/s and an...
A mixture containing 60 mol% benzene and 40 mol% toluene is subjected to batch, differential distillation at 1 atm, under three different conditions: 1. Until the distillate contains 70 mol% benzene...
A sphere of 25-mm diameter contains an embedded electrical heater. Calculate the power required to maintain the surface temperature at 94C when the sphere is exposed to a quiescent medium at 20C for:...
Heat loss by free convection from a horizontal pipe immersed in a liquid, estimate the rate of heat loss by free convection from a unit length of a long horizontal pipe, 6 in. in outside diameter, if...
Below is a list of fields from a classic process descriptors. In a modern process model with threads and processes, say whether each field should be implemented in the process or thread descriptor....
Steady-state creep data taken for a stainless steel at a stress level of 70MPa (10,000psi) are given If it is known that the value of the stress exponent n for this alloy is 7.0, compute the...
Groundwater at a flow rate of 1,500 gpm, containing three volatile organic compounds (VOCs), is to be stripped in a trayed tower with air to produce drinking water that will meet EPA standards....
A torque of T = 1000 lbf ?in is applied to the shaft EFG, which is running at constant speed and contains gear F. Gear F transmits torque to shaft ABCD through gear C, which drives the chain sprocket...
A 2-kW electric resistance heater in a room is turned on and kept on for 30 min. The amount of energy transferred to the room by the heater is (a) 1 kJ (b) 60 kJ (c) 1800 kJ (d) 3600 kJ (e) 7200 kJ
A triangular plate made of homogeneous material has a constant thickness which is very small. If it is folded over as shown, determine the location zc of the plate's center of gravity G. Given a = 6...
A wheel rolls without slipping on a fixed cylinder. Knowing that at the instant shown the angular velocity of the wheel is 10 rad/s clockwise and its angular acceleration is 30 rad/s2...
The 50-mm peephole of a large furnace operating at 450C is covered with a material having = 0.8 and p = 0 for irradiation originating from the furnace. The material has an emissivity of 0.8 and is...
From the Kb values for phosphate in Equations 6-32 through 6-34, calculate the three Ka values of phosphoric acid.
Wind energy has been used since 4000 BC to power sailboats, grind grain, pump water for farms, and, more recently, generate electricity. In the United States alone, more than 6 million small...
Water is boiled at sea level in a coffee maker equipped with an immersion-type electric heating element. The coffee maker contains 1 L of water when full. Once boiling starts, it is observed that...
Radial flow through a porous medium (Fig. 4C.4), a fluid flows through a porous cylindrical shell with inner and outer radii R 1 and R 2 , respectively. At these surfaces, the pressures are known to...
Find the power spectral density of an offset QPSK signal produced by a random binary sequence in which symbols 1 and 0 (represented by + 1) are equally likely, and the symbols in different time slots...
Solve Prob. 630 except let w1 = 2.5 in, w2 = 1.5 in, and the force fluctuates between a tension of 16 kips and a compression of 4 kips. Prob. 630, The figure shows the free-body diagram of a...
The components of a vertical circuit board, 150 mm on a side, dissipate 5 W. The back surface is well insulated and the front surface is exposed to quiescent air at 27C. Assuming a uniform surface...
On a cold winter day the temperature is 2C and the relative humidity is 15%. You inhale air at an average rate of 5500mL/min and exhale a gas saturated with water at body temperature, roughly 37C. If...
A beam is made up by bolting together two cold-drawn bars of AISI 1018 steel as a lap joint, as shown in the figure. The bolts used are ISO 5.8. Ignoring any twisting, determine the factor of safety...
Large wind turbines with blade span diameters of over 100 m are available for electric power generation. Consider a wind turbine with a blade span diameter of 100 m installed at a site subjected to...
A 320-lb load of lumber is lifted using a triple leg sling. Knowing that at the instant shown the lumber is at rest determine the tension in each leg of the sling. 631
Ethylene vapor is cooled at atmospheric pressure from 830 to 35oC by direct heat transfer to the surroundings at a temperature of 25oC. With respect to this surroundings temperature, what is the lost...
An air-conditioning system requires a 20-m-long section of 15-cm diameter duct work to be laid underwater. Determine the upward force the water will exert on the duct. Take the densities of air and...
The L-shaped arm BCD rotates about the z axis with a constant angular velocity 1 of 5rad/s, knowing that the 7.5-in.-radius disk rotates about BC with a constant angular velocity 2 of 4 rad/s,...
The surface of glass quickly develops very small micro cracks when exposed to high humidity. Although micro cracks can be safely ignored in most applications, they can significantly decrease the...
One thousand kilograms of a 30 wt% dioxane in water solution is to be treated with benzene at 25oC to remove 95% of the dioxane. The benzene is dioxane-free, and the equilibrium data of Example 5.2...
Determine by the Kremser method the separation that can be achieved for the absorption operation indicated in Figure for the following combinations of conditions: (a) Six equilibrium stages and 75...
A frictionless pistoncylinder device and a rigid tank initially contain 12 kg of an ideal gas each at the same temperature, pressure, and volume. It is desired to raise the temperatures of both...
An insulated rigid tank is divided into two compartments by a partition. One compartment contains 2.5 kmol of CO2 at 27°C and 200 kPa, and the other compartment contains 7.5 kmol of H2 gas at...
To enhance heat rejection from a spacecraft, an engineer proposes to attach an array of rectangular fins to the outer surface of the spacecraft and to coat all surfaces with a material that...
Consider a tie rod transmitting a tensile force F. The corresponding tensile stress is given by = F/A, where A is the area of the cross section. The deflection of the rod is given by Eq. (43), which...
Ethylene (C2H4) gas enters an adiabatic combustion chamber at 25C and 1 atm and is burned with 20 percent excess air that enters at 25C and 1 atm. The combustion is complete, and the products leave...
An electronic circuit board dissipating 50 W is sandwiched between two ducted, forced-air-cooled heat sinks. The sinks are 150 mm in length and have 24 rectangular passages 6 mm by 25 mm. Atmospheric...
It is desired to fabricate a continuous and aligned glass fiber-reinforced polyester having a tensile strength of at least 1400MPa (200,000 psi) in the longitudinal direction. The maximum possible...
Consider a coal-fired steam power plant that produces 300 MW of electric power. The power plant operates on a simple ideal Rankine cycle with turbine inlet conditions of 5 MPa and 450C and a...
Adiabatic flow of natural gas in a pipeline, recalculate the power requirement wW in Example 15.4-2 if the flow in the pipeline were adiabatic rather than isothermal. (a) Use the result of Problem...
Consider the radial diffusion of a gaseous species (A) through the wall of a plastic tube (B), and allow for chemical reactions that provide for the depletion of A at a rate NA (k mol/s m3). Derive...
Block C has a mass of 50 kg and is confined between two walls by smooth rollers. If the block rests on top of the 40-kg spool, determine the required coefficients of static friction at A and B so...
The refrigeration system of Fig. P11-123 is another variation of the basic vapor-compression refrigeration system which attempts to reduce the compression work. In this system, a heat exchanger is...
Air at 3 atm and 100C is discharged from a compressor into a vertical receiver of 2.5-m height and 0.75-m diameter. Assume that the receiver wall has negligible thermal resistance is at a uniform...
Hot air flows from a furnace through a 0.15-m-diameter, thin-walled steel duct with a velocity of 3 m/s. The duct passes through the crawlspace of a house, and its uninsulated exterior surface is...
The spectral transmissivity of plain and tinted glass can be approximated as follows: Plain glass: = 0.9 0.3 < < 2.5m Tinted glass: = 0.9 0.5 < < 1.5m Outside the specified wavelength ranges, the...
Gate ABC in Fig. P2.79 is 1-msquare and hinged at B. It opens automatically when the water level is high enough. Neglecting atmospheric pressure, determine the lowest level h for which the gate will...
Consider a vertical elevator whose cabin has a total mass of 800 kg when fully loaded and 150 kg when empty. The weight of the elevator cabin is partially balanced by a 400-kg counterweight that is...
A bag is gently pushed off the top of a wall at A and swings in a vertical plane at the end of a rope of length l Determine the angle for which the rope will break, knowing that it can withstand a...
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...
The velocity field given in Prob. 2.3 is called source flow. For source flow, calculate: (a) The time rate of change of the volume of a fluid element per unit volume (b) The vorticity
A household oven door of 0.5-m height and 0.7-m width reaches an average surface temperature of 32C during operation. Estimate the heat loss to the room with ambient air at 22C. If the door has an...
A uniform rod of length L and mass m is supported as shown with b = 0.2 L when the cable attached to end B suddenly breaks. Determine at this instant (a) The acceleration of end B, (b) The reaction...
A flat roof can be modeled as a flat plate insulated on the bottom and placed in the sunlight. If the radiant heat that the roof receives from the sun is 600 W/m2, the convection heat transfer...
Determine the optimal-stage location for each feed and the number of theoretical stages required for the distillation separation shown in Figure 7.42 using the following equilibrium data in mole...
A new asymmetric, polyimide, polymer membrane has been developed for the separation of N2 from CH4. At 30C, permeance values are 50,000 and 10,000 barrer/cm for N2 and CH4, respectively. If this new...
Five mol of calcium carbide arc combined with 10 mol of water in a closed, rigid, high pressure vessel of 1800 cm3 internal empty volume. Acetylene gas is produced by the reaction: CaC2(s) + 2H2O(t)...
Determine the resultant of the three forces of Prob. 2.21. Problem 2.21: Determine the x and y components of each of the forces shown. 24 kN 30 1.85 kN 20 35 1.40 kN
Alternate form of the equation of motion show that, for an incompressible Newtonian fluid with constant viscosity, the equation of motion may be put into the form where 4p plw:wy:y) y = Vv + (Vv) and...
In the test section of a supersonic wind tunnel, a Pitot tube in the flow reads a pressure of 1.13 atm. A static pressure measurement (from a pressure tap on the sidewall of the test section) yields...
Consider a diamond-wedge airfoil such as shown in Fig. 9.27, with a half-angle = 10. The airfoil is at an angle of attack = 15 to a Mach 3 free stream. Calculate the lift and wave-drag coefficients...