The cable supports the three loads shown. Determine the magnitude of P1 and find the sag yD for the given data. Given: P2 = 300 lb yB = 8 ft a = 4 ft b = 12 ft c = 20 ft d = 15 ft e = 12 ft f = 14 ft...
Consider the conditions of Example 3.12, except that the person is now exercising (in the air environment), which increases the metabolic heat generation rate by a factor of eight, to 5600 W/m3. At...
A 1.5-kg collar can slide on a horizontal rod which is free to rotate about a vertical shaft. The collar is initially held at A by a cord attached to the shaft. As the rod rotates at a rate = 18...
The tank of water in Fig P2.142 is 12 cm wide into the paper. If the tank is accelerated to the right in rigid-body motion at 6 m/s2, compute (a) The water depth at AB, and (b) The water force on...
Consider the flow due to a vortex of strength K at the origin. Evaluate the circulation from Eq. (8.15) about the clockwise path from (a, 0) to (2a, 0) to (2a, 3π /2) to (a, 3π /2) and back to...
A rigid tank initially contains 100 L of saturated-liquid R-12 and 100 L of saturated-vapor R-12 at 0C. A valve on the bottom of the tank is connected to a line flowing R-12 at 10C,...
It is not uncommon for the night sky temperature in desert regions to drop to 40C. If the ambient air temperature is 20C and the convection coefficient for still air conditions is approximately 5...
Expand each of the following s-domain functions into partial tractions: 6(s + 1) (a) Y(s) 5(s + 1) 12(s + 2) s(3? + 9) (b) Y(s) (s + 2)(s + 3) (s + 4)(s + 5)(s + 6) (c) Y(s) (d) Y(s) %3D I(s + 1)? +...
The force P is applied to the lever which controls the auger of a snow blower. Determine the magnitude and the direction of the smallest force P which has a 19.5- lb ⋅in. counterclockwise moment...
Knowing that WB = 150 lb and WC = 50 lb, determine the magnitude of the force P required to maintain equilibrium. 18 ft- -12 t 12 t- D. 9 ft 15 ft B. We
From the following potentials, calculate the activity of Cl - in 1 M KCl. E(calomel electrode) = 0.268 V E(calomel electrode, 1 M KCl) = 0.280 V
Knowing that α =50° and that boom AC exerts on pin C a force directed along line AC, determine (a) The magnitude of that force, (b) The tension in cable BC. 400 l
Find RAB in the network in figure. ww- 6 kn 6 kN 2 kn RAB 6 B
Both the adsorptive removal of small amounts of toluene from water and small amounts of water from toluene are important in the process industries. Activated carbon is particularly effective for...
Consider the transfer function: (a) Plot its poles and zeros in the complex plane. A computer program that calculates (he roots of the polynomial (such as the command roots in MATLAB) can help you...
Determine the moment produced by force FB about point O. Express the result as a Cartesianvector. 6 m Fe= 420 N Fa= 780 N 25m 3 m 3.
Helium gas expands from 125 kPa, 350 K and 0.25 m3 to 100 kPa in a polytropic process with n = 1.667. How much work does it give out?
Determine the reactions at the beam supports for the given loading when 0 1.5 kN/w = m. 35 AN/m We 50 kN m 1m
Consider mass loss from a smooth wet flat plate due to forced convection at atmospheric pressure. The plate is 0.5 m long and 3 m wide. Dry air at 300 K and a free stream velocity of 35 m/s flows...
Small diameter electrical heating elements dissipating 50 W/m (length normal to the sketch) are used to heat a ceramic plate of thermal conductivity 2 W/m K. The upper surface of the plate is...
Saturated steam at 0.1 bar condenses with a convection coefficient of 6800 W/m 2 K on the outside of a brass tube having inner and outer diameters of 16.5 and 19 mm, respectively. The convection...
A 440-kg sailboat with its occupants is running downwind at 12 km/h when its spinnaker is raised to increase its speed. Determine the net force provided by the spinnaker over the 10-s interval that...
Squeezing flow between parallel disks (Fig. 3C.1). 4 Rework Problem 3C.l (g) for the power law fluid. This device can be useful for determining the power law parameters for materials that are highly...
Consider a Carnot heat-engine cycle executed in a closed system using 0.01 kg of refrigerant-134a as the working fluid. The cycle has a thermal efficiency of 15 percent, and the refrigerant-134a...
Combustion gases with a specific heat ratio of 1.3 enter an adiabatic nozzle steadily at 800C and 800 kPa with a low velocity, and exit at a pressure of 85 kPa. The lowest possible temperature of...
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...
The uniform cylinder A, of mass m and radius r, has an angular velocity 0 when it is brought into contact with an identical cylinder B which is at rest. The coefficient of kinetic friction at the...
The human brain is especially sensitive to elevated temperatures. The cool blood in the veins leaving the face and neck and returning to the heart may contribute to thermal regulation of the brain by...
An ocean thermal energy conversion system is being proposed for electric power generation. Such a system is based on the standard power cycle for which the working fluid is evaporated, passed through...
In Fig P6.55 assume that the pipe is cast iron with L = 550 m, d = 7 cm, and Δz = 100 m. If an 80 percent efficient pump is placed at point B, what input power is required to deliver 160 m3/h...
Reconsider Problem 198E Using EES (or other) software, plot the equivalent wind chill temperatures in F as a function of wind velocity in the range of 4 to 100 mph for the ambient temperatures of 20,...
It is common practice to recover waste heat from an oil-or gas-fired furnace by using the exhaust gases to preheat the combustion air. A device commonly used for this purpose consists of a concentric...
A 50-N force directed vertically downward is applied to the toggle vise at C. Knowing that link BD is 150 mm long and that a = 100 mm, determine the horizontal force exerted on block E. 50 N 150 mm 15
Revised design of an air duct (Fig. 7B.5), a straight, horizontal air duct was to be installed in a factory. The duct was supposed to be 4 ft x 4 ft in cross section. Because of an obstruction, the...
The corrosion rate is to be determined for some divalent metal M in a solution containing hydrogen ions. The following corrosion data are known about the metal and solution: (a) Assuming that...
A spherical water drop is suspended from a fine thread in still, dry air. Show: (a) That the Sherwood number for mass transfer from the surface of the drop into the surroundings has a value of 2 if...
To get some indication of the relative demands of voice and data traffic, consider the following: a. Calculate the number of bits used to send a three-minute telephone call using standard PCM. b. How...
A piston held by a pin in an insulated cylinder, shown in Fig. P5.130 contains 2 kg water at 100C, quality 98%. The piston has a mass of 102 kg, with cross-sectional area of 100 cm2, and the ambient...
Block A rests on the surface for which the coefficient of friction is sAB. If the mass of the suspended cylinder is mD, determine the smallest mass mA of block A so that it does not slip or tip. The...
A boiler delivers steam at 10 MPa, 550C to a two-stage turbine as shown in Fig. 11.17. After the first stage, 25% of the steam is extracted at 1.4 MPa for a process application and returned...
250-L tank contains propane at 30C, 90% quality. The tank is heated to 300C. Calculate the heat transfer during the process.
It is observed that a 230-mm-diameter pan of water at 23C has a mass loss rate of 1.5 X 10-5 kg/s when the ambient air is dry and at 23C. (a) Determine the convection mass transfer coefficient for...
Consider a spherical organism of radius ro within which respiration occurs at a uniform volumetric rate of N A = k 0 . That is, oxygen (species A) consumption is governed by a zero-order, homogeneous...
A cylindrical furnace for heat-treating materials in a spacecraft environment has a 90-mm diameter and an overall length of 180 mm. Heating elements in the 135-mm-long section (1) maintain a...
Nitrogen is compressed by an adiabatic compressor from 100 kPa and 25C to 600 kPa and 290C. Calculate the entropy generation for this process, in kJ/kgK.
Find the maximum shear stress in a 10-in circular saw if it runs idle at 7200 rev/min. The saw is 14 gauge (0.0747 in) and is used on a -in arbor. The thickness is uniform. What is the maximum...
Ortho-phosphoric acid (H3PO4) is produced as a dilute aqueous solution that must be concentrated before further use. In one facility, 100 tons/day of a 28 wt% P2O5 solution [see part (a) of this...
The following data were obtained in a BET apparatus for adsorption equilibrium of nitrogen on silica gel (SG) at -195.8C. Estimate the specific surface area in m2/g of silica gel. How does your value...
SAE 10 oil at 20°C flows through the 4-cm-diameter vertical pipe of Fig. P6.30. For the mercury manometer reading h = 42 cm shown, (a) Calculate the volume flow rate in m3/h, and (b) State the...
Complete the blank cells in the following table of properties of steam. In the last column describe the condition of steam as compressed liquid, saturated mixture, superheated vapor, or insufficient...
A worker is raising a 9.2-m-long ladder of mass 53 kg as shown. Knowing g a = 1.8 m and that the force exerted by the worker is perpendicular to the ladder, determine, (a) The force exerted by the...
The human eye contains aqueous humor, which separates the external cornea and the internal iris-lens structure. It is hypothesized that, in some individuals, small flakes of pigment are...
A 0.6-lb collar A is released from rest, slides down a frictionless rod, and strikes a 1.8-lb collar B which is at rest and supported by a spring of constant 34 lb/ft. Knowing that the coefficient of...
The forces shown are the resultant downward loads on sections of the flat roof of a building because of accumulated snow. Determine the magnitude and the point of application of the resultant of...
Using Table 8.4, select possible liquid liquid extraction solvents for separating the following mixtures: (a) Waterethyl alcohol, (b) Wateraniline, and (c) Wateracetic acid. For each case, indicate...
In the ground state of mercury (Hg), a. How many electrons occupy atomic orbitals with n = 3? b. How many electrons occupy d atomic orbitals? c. How many electrons occupy pz atomic orbitals? d. How...
A process is described by the following transfer function Thus, it exhibits characteristics of both first-order and integrating processes. How could you utilize a step change in the input of...
The rectangular plate shown has a mass of 15 kg and is held in the position shown by hinges A and B and cable EF. Assuming that the hinge at B does not exert any axial thrust, determine (a) The...
For the frame and loading shown, determine the components of the forces acting on member ABC at B and C. SON E 192 N 60 120 mm 150 mm 120 mm 150 mm-
The Graetz problem for flow between parallel plates, work through ProNems 12D.2, 3, and 4 for flow between parallel plates (or flow in a thin rectangular duct)
Air at 25?C and 1 atm with a relative humidity of 25% is to be dehumidified in an adsorption column packed with silica gel. The equilibrium adsorptivity of water on silica gel is given by the...
To determine the thermal conductivity of a long, solid 2.5 cm diameter rod, one half of the rod was inserted into a furnace while the other half was projecting into air at 27?C. After steady state...
The irreversible losses in the penstock and its inlet and those after the exit of the draft tube are estimated to be 7 m. The elevation difference between the reservoir surface upstream of the dam...
A jet aircraft is flying at an altitude of 4900 m, where the ambient pressure is approximately 55 kPa and the ambient temperature is 18C. The velocity of the aircraft is 280 m/s, the...
For the beam and loading shown, (a) Draw the shear and bending moment diagrams, (b) Determine the maximum absolute values of the shear and bending moment. 12 kips 2 kips | B 2 kips/ft -6A-4 4.5 ft-...
A process is perturbed by a sinusoidally varying input, u(t), whose amplitude is A and whose frequency is w. The resulting process output relation is given by (a) What must have been the differential...
A process control system contains the following (a) Show how GOL(s) can be approximated by a FOPTD model; Find K, , and for the open-loop process transfer function (b) Use Routh stability methods...
A feedforward only controller system is to be designed for the stirred-tank heating system shown in Fig E. Exit temperature T will be controlled by adjusting coolant flow rate, q c . The chief...
The cable AO exerts a force on the top of the pole of F = {?120i ? 90j ? 80k} lb. If the cable has a length of 34 ft, determine the height z of the pole and the location (x, y) of its base.
Calculate the molar volume of saturated liquid and the molar volume of saturated vapor by the Redlich/Kwong equation for one of the following and compare results with values found by suitable...
A journal bearing has a journal diameter of 3.000 in, with a unilateral tolerance of 0.001 in. The bushing bore has a diameter of 3.005 in and a unilateral tolerance of 0.004 in. The bushing is 1.5...
A gas initially at a supersonic velocity enters an adiabatic diverging duct. Discuss how this affects (a) the velocity, (b) the temperature, (c) the pressure, and (d) the density of the fluid.
Rod CD is attached to the collar D and passes through a collar welded to end B of lever AB. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when ...
An airplane passes over a radar tracking station at A and continues to fly due east. When the plane is at P, the distance and angle of elevation of the plane are, respectively, r = 12,600 ft and =...
A 4-kg uniform slender rod AB is held in position by two ropes and the link CA which has a negligible weight. After rope BD is cut the assembly rotates in a vertical plane under the combined effect...
Consider the following data collected on a single helical coil extension spring with an initial extension Fi and a spring rate k suspected of being related by the equation F = Fi + kx where x is the...
Glycerin at 20C is to be pumped through a horizontal smooth pipe at 3.1 m3/s. It is desired that (1) the flow be laminar and (2) the pressure drop be no more than 100 Pa/m. What is the minimum pipe...
Knowing that the pulley has a radius of 1.25 in., determine the components of the reactions at B and E. 3 in. 4.5 in. D. 3.75 in. E. 75 lb
A plane wal1 of thickness 0.6 m (L = 0.3 m) is made of steel (k = 30 W/m K. p = 7900 kg/m 3 , c = 640 J/kg K). It is initially at a uniform temperature and is then exposed to air on both surfaces....
A double pulley is attached to a slider block by a pin at A. The 1.5-in.-radius inner pulley is rigidly attached to the 3-in.-radius outer pulley. Knowing that each of the two cords is pulled at a...
A fuel gas is known to contain methane ethane, and carbon monoxide. A sample of the gas is charged into an initially evacuated 2.000-liter vessel at 25C and 2323 mm Hg absolute. The vessel is weighed...
Estimate the heat of vaporization (kJ/mol) of benzene at a pressure of 100 mm Hg, using each of the following correlations and data: (a) The heat of vaporization at the normal boiling point given in...
Consider the directionally selective surface having the directional emissivity ??, as shown. Assuming that the surface is isotropic in the ? direction, calculate the ratio of the normal emissivity...
Determine the couple moment M that must be applied to member DC for equilibrium of the quick-return mechanism. Express the result in terms of the angles ? and ?, dimension L, and the applied vertical...
Repeat Prob. 377 with T = 900 lbf · in, a = 6 in, b = 5 in, c = 10 in, d = 1.375 in, e = 4 in, f = 10 in, and g = 6 in. Repeat Prob. 377, A torque T = 100 N · m is applied to the shaft...
Liquid water at 120 kPa enters a 7-kW pump where its pressure is raised to 5 MPa. If the elevation difference between the exit and the inlet levels is 10 m, determine the highest mass flow rate of...
Is it possible to maintain a pressure of 10 kPa in a condenser that is being cooled by river water entering at 20C?
A refrigerator that operates on the ideal vapor compression cycle with refrigerant-134a is to maintain the refrigerated space at -10C while rejecting heat to the environment at 25C. Select reasonable...
The concrete pipe at A rests on top of B and C. If the coefficient of static friction between the pipes is s and at the ground 's, determine their smallest values so that the pipes will not slip....
A steam turbine receives water at 15 MPa, 600C at a rate of 100 kg/s, shown in Fig. P6.29. In the middle section 20 kg/s is withdrawn at 2 MPa, 350C, and the rest exits the turbine at...
The truss shown consists of six members and is supported by two short links at each of the joints A, B, and C. Determine the force in each of the members f or P= − (940 N)j and Q = 0.
Ethylene glycol flows at 0.0 I kg/s through a 3-mm-diameter, thin-walled tube. The tube is coiled and sub-merged in a well-stirred water bath maintained at 25C. If the fluid enters the tube at 85C,...
The production of most of the steel manufactured in the United States begins with the reduction of hematite ore (mostly ferric oxide) with coke (carbon) in a blast furnace to obtain pig iron. The...
The cooled effluent passes through a carbon filter in which the soot is removed. The clean gas is then compressed and fed to an absorption column, where it is contacted with a recycled liquid solvent...
A 1.5-lb ball A is moving with a velocity of magnitude 18 ft/s when it is hit by a 2.5-lb ball B which has a velocity of magnitude 12 ft/s. Knowing that the coefficient of restitution is 0.8 and...
Disk B has an angular velocity 0 when it is brought into contact with disk A, which is at rest. Show that (a) The final angular velocities of the disks are independent of the coefficient of friction...
Fifty milliliters of 100% H2SO4 at 25C and 84.2 mL of liquid water at 15C are mixed. The heat capacity of the product solution is 2.43 J/ (gC). Estimate the maximum temperature attainable by the...
A linear delta modulator is designed to operate on speech signals limited to 3.4 kHz; the specifications of the modulator are as follows: Sampling rate = l0 Nyquist , where Nyquist is the Nyquist...
Consider a concentric tube heat exchanger with hot and cold water inlet temperatures of 200 and 35C, respectively. The flow rates of the hot and cold fluids are 42 and 84 kg/h, respectively. Assume...
In open heart surgery under hypothermic conditions, the patient's blood is cooled before the surgery and re-warmed afterward. It is proposed that a concentric tube, counter flow heat exchanger of...