Find the solution of Plot the solution for values of h = 1, 10, 100, and the limiting solution (h ? ?) from t = 0 to t = 2. Put all plots on the same graph. dx + 4x = f(t) di t <0 where f() -h 0 <1...

A data acquisition system for environmental monitoring is used to record the temperature of an air stream as measured by a thermocouple. It shows an essentially sinusoidal variation after about 15 s....

Hot exhaust gases leaving an internal combustion engine at 400°C and 150 kPa at a rate of 0.8 kg/s is to be used to produce saturated steam at 200°C in an insulated heat exchanger. Water...

Sketch the variation of the velocity and thermal boundary layer thicknesses with distance from the leading edge of a flat plate for the laminar flow of air, water engine oil and mercury. For each...

Residence time distribution in tube flow, define the residence time function F(t) to be that fraction of the fluid flowing in a conduit which flows completely through the conduit in a time interval...

Assume there exists some hypothetical metal that exhibits ferromagnetic behavior and that has (1) a simple cubic crystal structure (Figure), (2) an atomic radius of 0.153 nm, and (3) a saturation...

Consider the experimental step response data for the heat exchanger of Exercise 12.5. Determine the PI controller settings using the step response method and two controller tuning relations: (a)...

Two steady flow of air enters a control volume, shown in Fig. P6.37. One is 0.025 kg/s flow at 350 kPa, 150C, state 1, and the other enters at 350 kPa, 15C, both flows with low...

It is known that a force with a moment of 1152 N m ⋅ about D is required to straighten the fence post CD. If the capacity of the winch puller AB is 2880 N, determine the minimum value of...

A thin brass rod of uniform cross section is bent into the shape shown. Locate its center of gravity. 0 300m s00

Consider a thermal storage system in which the phase change material (paraffin) is housed in a large container whose bottom, horizontal surface is maintained at T s = 50C by warm water delivered from...

At the instant shown the angular velocity of the wheel is 2 rad/s clockwise and its angular acceleration is 3 rad/s2 counterclockwise, knowing that the wheel rolls without slipping, determine the...

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...

Determine the force in members CF, EF, and DF of the space truss and state if the members are in tension or compression. The truss is supported by short links at A, B, D, and F. Given: F = (0 250...

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

A force acts at the origin of a coordinate system in a direction defined by the angles x = 43.2 and z = 83.8. Knowing that the y component of the force is 50 lb, determine (a) The angle y, (b) The...

Determine by direct integration the moment of inertia of the shaded area with respect to the y axis. y=kx* +e

Consider a liquid metal (Pr < < 1) with free stream conditions u and T, in parallel flow over an isothermal flat plate at Ts- Assuming that u = U throughout the thermal boundary layer, write the...

A train of four 55-gallon cannisters of activated carbon is to be used to reduce the nitroglycerine (NG) content of 400 gph of wastewater from 2,000 ppm by weight to less than 1 ppm. Each cannister...

Determine the components of reaction acting at the smooth journal bearings A, B, andC. 450 N 0,6 im 45 300 N m 0.4 m 0.8 m 0.4 m.

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...

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 20-lb force F 1 and a 40- lb ft couple M 1 are applied to corner E of the bent plate shown. If F 1 and M 1 are to be replaced with an equivalent force-couple system (F 2 , M 2 ) at corner B and if...

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...

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...

Consider the gas turbine cooling scheme of Example 4.4. In Problem 3.23, advantages associated with applying a thermal barrier coating (TBC) to the exterior surface of a turbine blade are described....

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...

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)? +...

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

Consider two bodies of identical mass m and specific heat c used as thermal reservoirs (source and sink) for a heat engine. The first body is initially at an absolute temperature T1 while the second...

A counter flowing heat exchanger is used to cool air at 540 K, 400 kPa to 360 K by using a 0.05 kg/s supply of water at 20C, 200 kPa. The air flow is 0.5 kg/s in a 10-cm diameter pipe. Find...

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...

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 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...

For the Wood-Berry distillation column model in Example 18.1; (a) Which pairing of controlled and manipulated variables would you recommend based on steady-state considerations? (b) Which pairing...

When one knows the true values x1 and x2 and has approximations X1 and X2 at hand, one can see where errors may arise. By viewing error as something to be added to an approximation to attain a true...

The idea of using gas turbines to power automobiles was conceived in the 1930s, and considerable research was done in the 1940s and 1950s to develop automotive gas turbines by major automobile...

You have been asked to determine the feasibility of using an impinging jet in a soldering operation for electronic assemblies. The schematic illustrates the use of a single, round nozzle to direct...

Rain is falling on a poorly designed 150-m2 flat roof of a contemporary home. The design flaw requires the water level on the roof to reach approximately 5 cm above the plane of the roof before the...

Figure P10.113 shows a channel contraction section often called a venturi flume [from Ref. 23 of Chap. 10], because measurements of y1 and y2 can be used to meter the flow rate. Show that if losses...

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...

A rigid tank initially contains 100 L of saturated-liquid R-12 and 100 L of saturated-vapor R-12 at 0C. A valve on the bottom of the tank is connected to a line flowing R-12 at 10C,...

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...

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...

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...

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?

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...

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

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

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...

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...

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.

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 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...

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...

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...

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...

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...

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...

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...

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 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...

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

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...

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.

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...

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,...

A boiler delivers steam at 10 MPa, 550C 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 30C, 90% quality. The tank is heated to 300C. Calculate the heat transfer during the process.

The beam is to be hoisted using two chains. If the resultant force is to be 600 N, directed along the positive y axis, determine the magnitudes of forces F A and F B acting on each chain and the...

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...

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 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...

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...

The early steam engines were driven by the atmospheric pressure acting on the piston fitted into a cylinder filled with saturated steam. A vacuum was created in the cylinder by cooling the cylinder...

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...

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...

Repeat Prob. 7.9, considering a point on the airfoil surface where the pressure is 0.3 atm.

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...

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...

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.

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...

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 ...

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...

A steam turbine receives water at 15 MPa, 600C at a rate of 100 kg/s, shown in Fig. P6.29. In the middle section 20 kg/s is withdrawn at 2 MPa, 350C, and the rest exits the turbine at...

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...

A black sphere (2.5 cm diam) is placed in a large infrared heating oven whose walls are maintained at 370?C. The temperature of the air in the oven is 90?C and the heattransfer coefficient for...

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 jet aircraft is flying at an altitude of 4900 m, where the ambient pressure is approximately 55 kPa and the ambient temperature is 18C. The velocity of the aircraft is 280 m/s, the...

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 =...

An 8-kg plunger is released from rest in the position shown and is stopped by two nested springs; the constant of the outer spring is k1 = 3 kN/m and the constant of the inner spring is k2 = 10 kN/m....

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...

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 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 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 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...

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...

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)

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...