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Write a computer program to sum the Fourier series for the signals given in Table 2.1. The number of terms in the Fourier sum should be adjustable so that one may study the convergence of each... Sketch the single-sided and double-sided amplitude and phase spectra of the following signals: (a) x 1 (t) = 10 cos(4t + /8) + 6 sin(8t + 3/4) (b) x 2 (t) = 8 cos(2t + /3) + 4 cos(6t + /4) (c) x 3... If five cards are drawn without replacement from an ordinary deck of cards, what is the probability that (a) Three kings and two aces result; (b) Four of a kind result; (c) All are of the same suit;... A certain continuous random variable has the cumulative-distribution function (a) Find the proper values for A and B. (b) Obtain and plot the pdf f X (x). (c) Compute P(X > 5). (d) Compute P(4... An ideal finite-time integrator is characterized by the input-output relationship (a) Justify that its impulse response is h(t) = 1 / T [u (t) - u (t - T)]. (b) Obtain its frequency response... Each conductor of a two-wire transmission line has a radius of 0.5 mm; their center-to-center separation is 0.8 cm. Let f = 150 MHz, and assume and c are zero. Find the dielectric constant of the... Determine the input resistance, voltage gain ν 0 / ν s , and output resistance of the CC amplifier of Fig. 3.23 a if R S = 5k ¦, R L = 500 ¦, and I C = 1mA.... A BiCMOS Class AB output stage is shown in Fig. 5.43. Device parameters are β F (npn) = 80, β F (pnp) = 20, V BE(on) = 0.8 V, μ p C ox = 26 µA/V 2 , and V... A capillary tube of 1.2 mm diameter is immersed vertically in water exposed to the atmosphere. Determine how high water will rise in the tube. Take the contact angle at the inner wall of the tube to... Consider a large cubic ice block floating in seawater. The specific gravities of ice and seawater are 0.92 and 1.025, respectively. If a 25-cm-high portion of the ice block extends above the surface... Repeat Problem 9.6 for the amplifier of Problem 9.4. Data from Prob. 9.6: The amplifier of Problem 9.5 is to be compensated by reducing the magnitude of the most dominant pole. (a) Calculate the... (a) Consider the transmission of digital data at a rate of R = 50 kbps and at an error probability of P E = 10 -6 . Using the bandwidth of the main lobe as a bandwidth measure, give an estimate of... Two radio antennas are separated by 2.0 m. Both broadcast identical 750 MHz waves. If you walk around the antennas in a circle of radius 10 m, how many maxima will you detect? Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x = 0.50 m. If speaker 1... In a certain region of space the electric potential is given by V = +Ax 2 y - Bxy 2 , where A = 5.00 V/m 3 and B = 8.00 V/m 3 . Calculate the magnitude and direction of the electric field at the... A differential manometer is used to measure the pressure change caused by a flow constriction in a piping system as shown. Determine the pressure difference between points A and B in psi. Which... A client has asked you to find the pressure change in a pumping station. The outlet from the pump is 20 ft above the inlet. A Newtonian fluid is being pumped at steady state. At the inlet to the pump... A flat steel plate of 2.0 m length and 2.0 m width initially contains a very thin coating of light hydrocarbon lubricating oil (species A) used in a manufacturing process. An engineer is considering... A large amount of energy E is suddenly released in the air as in a point of explosion. Experimental evidence suggests that the radius r of the high-pressure blast wave depends on time t as well as... The drag coefficient for a smooth sphere is shown below. Determine the speed at the critical Reynolds number for a 42-mm-diameter sphere in air. 0.5 0.4 0.3 CD 0.2 0.1 103 104 105 107 106 Re = Dv/v A centrifugal pump with an impeller diameter of 0.18 m is to be used to pump water (Ï = 1000 kg/m 3 ) with the pump inlet located 3.8 m above the surface of the supply reservoir. At a flow rate... Solve Problem 17.33 if the convective heat-transfer coefficient is increased to 60 Btu/h ft 2 F by forcing air past the tube surface. Data From Problem 17.33 A 1-in.-OD steel tube has its outside... In the curing of rubber tires, the vulcanization process requires that a tire carcass, originally at 295 K, be heated so that its central layer reaches a minimum temperature of 410 K. This heating is... One step in the manufacture of silicon wafers used in the microelectronics industry is the melt crystallization of silicon into a crystalline silicon ingot. This process is carried out within a... The fuel plates in a nuclear reactor are 4 ft long and stacked with a 1/2-in. gap between them. The heat flux along the plate surfaces varies sinusoidally according to the equation where... A fluorescent light bulb, rated at 100 W, is illuminated in air at 25C and atmospheric pressure. Under these conditions the surface temperature of the glass is 140C. Determine the rate of heat... Repeat Problem 19.22 for velocity and temperature profiles of the form v = sin by, T - T s = sin y Data From Problem 19.22 Using the appropriate integral formulas for flow parallel to a flat... Copper wire with a diameter of 0.5 cm is covered with 0.65-cm layer of insulating material having a thermal conductivity of 0.242 W/m K. The air adjacent to the insulation is at 290 K. If the wire... Hot polymer beads are being cooled by allowing them to settle slowly in a long cylindrical tank of water maintained at 30°C as shown in the figure. In this process, 1-cm-diameter spherical beads... A system for heating water with an inlet temperature of 25C to an exiting temperature of 70C involves passing the water through a thick-walled tube with inner and outer diameters of 25 and 45 mm,... If eight tubes of the size designated in Problem 21.13 are arranged in a vertical bank and the flow is assumed laminar, determine a. The average heat-transfer coefficient for the bank b. The... A dewar flask, used to contain liquid nitrogen, is made of two concentric spheres separated by an evacuated space. The inner sphere has an outside diameter of 1 m and the outer sphere has an inside... It is desired to concentrate species A from a dilute mixture of solutes A and B dissolved in liquid water using a porous membrane. The membrane contains cylindrical pores in uniform parallel array.... The moisture in hot, humid, stagnant air surrounding a cold-water pipeline continually diffuses to the cold surface where it condenses. The condensed water forms a liquid film around the pipe, and... A single-pass, shell-and-tube heat exchanger will be used to generate saturated steam by cooling a hot CO 2 gas stream. In the present process, boiler feed water at 100C (373 K) and 1 atm (saturation... A cell mono layer used in a tissue engineering scaffold adheres onto the top surface of a silicone rubber (polymer) sheet of 0.10 cm thickness, as shown in the figure below. The rectangular sheet is... In a gasliquid interface mass-transfer process, the bulk mole fraction composition of solute A in the inert carrier gas is 0.010, and the bulk mole fraction composition of solute A in the inert... Wastewater containing solute A at concentration of 1.0 · 10 gmole/m 3 enters an open tank at a volumetric flow rate of 0.20 m 3 /min, and exits at the same rate, as shown in the figure below.... If the atmospheric microwave absorption coefficient γ varies with height z as γ = Ï Î²exp (-βz), Ï being the optical thickness of the entire... A mass hanging from a spring oscillates with a period of 0.35 s. Suppose the mass and spring are swung in a horizontal circle, with the free end of the spring at the pivot. What rotation frequency,... An avant-garde composer wants to use the Doppler effect in his new opera. As the soprano sings, he wants a large bat to fly toward her from the back of the stage. The bat will be outfitted with a... The first and second laws of thermodynamics are sometimes stated as You cant win and You cant even break even. Do these sayings accurately characterize the laws of thermodynamics as applied to heat... Two positive point charges q and 4q are at x = 0 and x = L, respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium. What are the... What are the strength and direction of the electric field at the position indicated by the dot in FIGURE EX23.3? Specify the direction as an angle above or below horizontal. 3.0 nC (+ 5.0 cm 5.0 cm... a. An infinitely long sheet of charge of width L lies in the xy plane between x = -L/2 and x = L/2. The surface charge density is . Derive an expression for the electric field E at height z above the... The cube in FIGURE EX24.7 contains negative charge. The electric field is constant over each face of the cube. Does the missing electric field vector on the front face point in or out? What strength... The switch in FIGURE EX28.36 has been in position a for a long time. It is changed to position b at t = 0 s. What are the charge Q on the capacitor and the current I through the resistor (a)... A packed tower is used to remove component A from a gas stream mixture containing 12.0 mole% A and 88.0 mole% inerts. The gas mixture is fed to the bottom of the tower, and the desired superficial... A pilot-scale tower packed to a height of 6.0 ft with 5/8- inch ceramic Raschig rings is used to study the absorption of carbon disulfide (CS 2 , solute A) from nitrogen gas (N 2 ) into a liquid... A natural gas stream with a total volumetric flow rate of 880 standard cubic meters (SCM) per hour (std m 3 /h), temperature of 40°C, and total system pressure of 405 kPa is contaminated with 1.0... FIGURE P29.64 shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio q/m. The sample is ionized, the positive... Your camping buddy has an idea for a light to go inside your tent. He happens to have a powerful (and heavy!) horseshoe magnet that he bought at a surplus store. This magnet creates a 0.20 T field... FIGURE P33.56 shows the light intensity on a screen behind a circular aperture. The wavelength of the light is 500 nm and the screen is 1.0 m behind the slit. What is the diameter (in mm) of the... A 0.50-mm-diameter hole is illuminated by light of wavelength 550 nm. What is the width (in mm) of the central maximum on a screen 2.0 m behind the slit? Find the focal length of the glass lens in FIGURE EX34.25. 24 cm 40 cm FIGURE EX34.25 Suppose a cameras exposure is correct when the lens has a focal length of 8.0 mm. Will the picture be overexposed, underexposed, or still correct if the focal length is zoomed to 16.0 mm without... A capillary tube is immersed vertically in a water container. Knowing that water starts to evaporate when the pressure drops below 2 kPa, determine the maximum capillary rise and tube diameter for... A large plate is pulled at a constant speed of U = 4 m/s over a fixed plate on 5-mm-thick engine oil film at 20°C. Assuming a half-parabolic velocity profile in the oil film, as sketched,... Reconsider the helicopter in Prob. 13??38, except that it is hovering on top of a 2800-m-high mountain where the air density is 0.928 kg/m 3 . Noting that the unloaded helicopter blades must rotate... Consider a heavy car submerged in water in a lake with a flat bottom. The drivers side door of the car is 1.1 m high and 0.9 m wide, and the top edge of the door is 10 m below the water surface.... A long, solid cylinder of radius 2 ft hinged at point A is used as an automatic gate, as shown in Fig. P11??9E. When the water level reaches 15 ft, the cylindrical gate opens by turning about the... Determine the resultant force acting on the 0.7-m-high and 0.7-m-wide triangular gate shown in Fig. P11??15 and its line of action. 0.3 m. 0.7 m 0.9 m Water 0.7 m A crane is used to lower weights into a lake for an underwater construction project. Determine the tension in the rope of the crane due to a 3-ft-diameter spherical steel block (density = 494 lbm/ft... The average density of icebergs is about 917 kg/m 3 . (a) Determine the percentage of the total volume of an iceberg submerged in seawater of density 1042 kg/m 3 . (b) Although icebergs are mostly... A 15-hp (shaft) pump is used to raise water to a 45-m higher elevation. If the mechanical efficiency of the pump is 82 percent, determine the maximum volume flow rate of water. The velocity profile in fully developed laminar flow in a circular pipe of inner radius R = 2 cm, in m/s, is given by u(r) = 4(1 - r 2 /R 2 ). Determine the average and maximum velocities in the pipe... Consider an air solar collector that is 1 m wide and 5 m long and has a constant spacing of 3 cm between the glass cover and the collector plate. Air flows at an average temperature of 45?C at a rate... A stent is used to prop up a clogged artery to allow blood to pass through it. But stents can also be loaded with drugs to facilitate the timed release of the drug into the body, especially if the... An aeration basin is used to oxygenate wastewater at 283 K. The basin is filled to a depth of 4.55 m with 283 m 3 wastewater of 0.050 mmole/L initial dissolved oxygen (O 2 ) concentration. The filled... One of the important ways in which the Higgs boson was detected at the Large Hadron Collider was by observing a type of decay in which the Higgswhich decays too quickly to be observed directlyis... A spherical drug capsule dispenses Dicyclomine (an irritable bowel syndrome drug) to the bodys gastrointestinal tract over time. Initially, 2.00 mg of Dicyclomine (mAo) is loaded into the... A highly viscous liquid discharges from a large container through a small-diameter tube in laminar flow. Disregarding entrance effects and velocity heads, obtain a relation for the variation of fluid... Hot water is to be cooled as it flows through the tubes exposed to atmospheric air. Fins are to be attached in order to enhance heat transfer. Would you recommend attaching the fins inside or outside... A short brass cylinder (Ï = 8530 kg/m 3 , c p = 0.389 kJ/kg·K, k = 110 W/m·K, and α = 3.39 à 10 -5 m 2 /s) of diameter 8 cm and height 15 cm is initially at a... Steam at 250C flows in a stainless steel pipe (k = 15 W/m.K) whose inner and outer diameters are 4 cm and 4.6 cm, respectively. The pipe is covered with 3.5-cm-thick glass wool insulation (k = 0.038... The upper surface of a 50-cm-thick solid plate (k = 237 W/m·K) is being cooled by water with temperature of 20°C. The upper and lower surfaces of the solid plate maintained at constant... Consider a 10-m-long smooth rectangular tube, with a = 50 mm and b = 25 mm, that is maintained at a constant surface temperature. Liquid water enters the tube at 20°C with a mass flow rate of... A 2-m-long, 0.2-m-diameter cylindrical pine log (density = 513 kg/m 3 ) is suspended by a crane in the horizontal position. The log is subjected to normal winds of 40 km/h at 5°C and 88 kPa.... The wall of a refrigerator is constructed of fiberglass insulation (k = 0.035 W/m·K) sandwiched between two layers of 1-mm-thick sheet metal (k = 15.1 W/m·K). The refrigerated space is... Determine the view factors F 12 and F 21 for the very long ducts shown in Fig. P2173 without using any view factor tables or charts. Neglect end effects. Oso 50 (0) (b) -------- (c) A 15-ft long strip of sheet metal is being transported on a conveyor at a velocity of 16 ft/s. To cure the coating on the upper surface of the sheet metal, infrared lamps providing a constant radiant... Determine the view factors from the very long grooves shown in Fig. P2162 to the surroundings without using any view factor tables or charts. Neglect end effects. (a) Semicylindrical (b) Triangular... Hot air at atmospheric pressure and 85°C enters a 10-m-long uninsulated square duct of cross section 0.15 m à 0.15 m that passes through the attic of a house at a rate of 0.1 m 3 /s. The... Consider a condenser in which steam at a specified temperature is condensed by rejecting heat to the cooling water. If the heat transfer rate in the condenser and the temperature rise of the cooling... How does the log mean temperature difference for a heat exchanger differ from the arithmetic mean temperature difference? For specified inlet and outlet temperatures, which one of these two... The temperature difference between the hot and cold fluids in a heat exchanger is given to be T 1 at one end and T 2 at the other end. Can the logarithmic temperature difference T lm of this heat... A test is conducted to determine the overall heat transfer coefficient in a shell-and-tube oil-to-water heat exchanger that has 24 tubes of internal diameter 1.2 cm and length 2 m in a single shell.... A shell-and-tube heat exchanger is used for heating 10 kg/s of oil (c p = 2.0 kJ/kgK) from 25C to 46C. The heat exchanger has 1-shell pass and 6-tube passes. Water enters the shell side at 80C and... Consider a heat exchanger that has an NTU of 4. Someone proposes to double the size of the heat exchanger and thus double the NTU to 8 in order to increase the effectiveness of the heat exchanger and... A double-pipe parallel-flow heat exchanger is used to heat cold tap water with hot water. Hot water (c p = 4.25 kJ/kg·K) enters the tube at 85°C at a rate of 1.4 kg/s and leaves at... Consider a heat exchanger that has an NTU of 0.1. Someone proposes to triple the size of the heat exchanger and thus triple the NTU to 0.3 in order to increase the effectiveness of the heat exchanger... Water (c p = 4180 J/kgK) enters the 2.5-cminternal-diameter tube of a double-pipe counter-flow heat exchanger at 17C at a rate of 1.8 kg/s. Water is heated by steam condensing at 120C (h fg = 2203... Cold water (c p = 4180 J/kg·K) enters the tubes of a heat exchanger with 2-shell passes and 20-tube passes at 20°C at a rate of 3 kg/s, while hot oil (c p = 2200 J/kg·K) enters the... Derive the allowed combinations of charm C and electric charge Q for mesons and baryons in the simple quark model. What would be the energy of a positron if it were emitted from the decay p 0 + e + of a proton at rest? If such an event were observed in the Super Kamiok and e detector, what would be the emission... Consider a star moving with velocity in a circular orbit of radius R about the centre of a spiral galaxy. Calculate the dependence of on R for the following extreme cases. (a) The total mass of the... Hot water at 60C is cooled to 36C through the tube side of a one-shell pass and two-tube passes heat exchanger. The coolant is also a water stream, for which the inlet and outlet temperatures are 7C... Confirm eq. and the estimate for the rhinoceross kinetic energy below eq. by explicit calculation. Ep+p=2MPC = 3 x 10-10 JE 1877 MeV. kinetic energy = mv It has been proposed that solar collectors could be deployed in space, and that the collected power could be beamed to Earth using microwaves. A potential limiting factor for this technology would be... Given the Suns power output of 384 YW and radius 695500 km, compute its surface temperature assuming it to be a black body with emissivity one.
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