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Determine the smallest metric hydraulic copper tube size that will carry 4 L/min of the following fluids while maintaining laminar flow: (a) Water at 40C, (b) Gasoline (sg = 0.68) 25C, (c) Ethyl... A rechargeable flashlight battery is capable of delivering 90 mA for about 12 h. How much charge can it release at that rate? If its terminal voltage is 1.5 V, how much energy can the battery deliver? For the network in Fig. 2.89 , find the current, voltage, and power associated with the 20-kΩ resistor. 5 mA 10 k2 0.01V. V. 5 k2 20 k2 Find V x in the circuit of Fig. 2.85. 2 Vx +, ww- 15 V Determine the number of branches and nodes in the circuit of Fig. 2.71. 1 4 352 12 V 2 A Determine the node voltages in the circuit in Fig. 3.67 using nodal analysis. 300 V 40 40 1 20 15 A 40 2. Use mesh analysis to obtain i a , i b , and i c in the circuit in Fig. 3.84 . 5 20 la 10 : 15 30 V(+ 45 V For the circuit shown in Figure 5.57 , solve for the Thevenin equivalent circuit looking into terminals A and B. 10 k2 10 k2 +, +, 2.5 2 Determine the Norton equivalent at terminals a-b for the circuit in Fig. 4.115 . 10/, ww- 5 A For the circuit in Fig. 4.90 , use source transformation to find i. 5 10 2 A +) 20 V 5 4 Find the Norton equivalent with respect to terminals a-b in the circuit shown in Fig. 4.104 . 30 V 20 k2 +) : 10 k 6 k2 6 mA ob An existing fixture inserts the velocity probe described in Problem 9.5 exactly 60.0 mm from the outside surface of the pipe. If the probe reads 2.48 m/s, compute the actual average velocity of flow,... An alternative scheme for using the velocity probe described in Problem 9.5 is to place it in the middle of the pipe, where the velocity is expected to be 2.0 times the average velocity. Compute the... Compute points on the velocity profile from the tube wall to the centerline of a plastic pipe, 125 mm OD 7.4 mm wall, if the volume flow rate of gasoline (sg = 0.68) at 25C is 3.0 L/min. Use... In Fig. 9.26, ethylene glycol (sg = 1.10) at 77°F flows around the tubes and inside the rectangular passage. Calculate the volume flow rate of ethylene glycol in gal/min required for the flow to... Determine the energy loss due to a sudden enlargement from a standard 1-in Schedule 80 pipe to a 3 1/2-in Schedule 80 pipe when the rate of flow is 0.10 ft 3 /s. Determine the energy loss due to a sudden enlargement from a standard DN 25 Schedule 80 steel pipe to a DN 90 mm Schedule 80 steel pipe when the rate of flow is 3 10 -3 m 3 /s. A 25 mm OD 2.0 mm wall copper tube supplies hot water (80C) to a washing system in a factory at a flow rate of 250 L/min. At several points in the system, a 90 bend is required. Compute the energy... The inlet and the outlet shown in Fig. 10.36 (a) are to be connected with a 50 mm OD à 2.0 mm wall copper tube to carry 750 L/min of propyl alcohol at 25°C. Evaluate the two schemes shown... Turpentine at 77F is flowing from A to B in a 3-in coated ductile iron pipe. Point B is 20 ft higher than point A and the total length of the pipe is 60 ft. Two 90 long-radius elbows are installed... Figure 12.14 represents the water distribution network in a small industrial park. The supply of 15.5 ft 3 /s of water at 60 F enters the system at A. Manufacturing plants draw off the indicated... Consider a roller coaster as it travels near the bottom of its track as sketched in Figure P5.23. At this point, the normal force on the roller coaster is three times its weight. If the speed of the... Three lead balls of mass m 1 = 15 kg, m 2 = 25 kg, and m 3 = 9.0 kg are arranged as shown in Figure P5.37. Find the total gravitational force exerted by balls 1 and 2 on ball 3. Be sure to give the... The switch in Fig. 8.69 moves from position A to position B at t = 0 (please note that the switch must connect to point B before it breaks the connection at A, a make-before-break switch). Let v(0) =... Determine the current that flows through an 20- resistor connected to a voltage source v s = 120 cos (377t + 37) V. In the circuit of Fig. 9.54 , determine the value of is(t). Is (t) 22 ww 2 mH ell 115 cos 2,000t V 20 2 50 F (+1) Assuming that the switch in Fig. 7.87 has been in position A for a long time and is moved to position B at t = 0, Then at t = 1 second, the switch moves from B to C. Find v C (t) for t ¥ 0. 10 )... For the 2 à 3 - 10 centrifugal pump performance curve shown in Fig. 13.28, at what head will the pump having an 8-in impeller operate at its highest efficiency? List the pumps capacity, power... The image of a red rose is formed by a concave spherical mirror on a screen 100 cm away. If the rose is 25 cm from the mirror, determine its radius of curvature. We wish to project an image of a frog on a screen. The image is to be twice life-size. If a thin convex-planar lens has a radius of curvature of 100 cm and is made of glass (n g = 1.50), and if it is... Figure P.6.34 shows the distribution of light corresponding to the image arising when a monochromatic point source illuminates two different optical systems each having only one type of aberration.... A Moore sequential circuit has one input and one output. The output goes to 1 when the input sequence 111 has occurred, and the output goes to 0 if the input sequence 000 occurs. At all other times,... For laser action to occur, the medium used must have at least three energy levels. What must the nature of each of these levels be? A synchronous (4-bit) up/down decade counter with output Q works as follows: All state changes occur on the rising edge of the CLK input, except the synchronous clear (CLR). When CLR = 0, the counter... Consider the following 8-bit bidirectional synchronous shift register with parallel load capability. The notation used to represent the input/output pins is explained as follows: CLR Asynchronous... A synchronous 4-bit UP/DOWN binary counter has a synchronous clear signal CLR and a synchronous load signal LD. CLR has higher priority than LD. Both CLR and LD are active high. D is a 4-bit input to... The objective of this problem is to use Verilog to describe and simulate a multiplier for signed binary numbers using Booths algorithm. Negative numbers should be represented by their 2s complement.... In the circuit of Fig. 13.86 , Z L is a 15-mH inductor having an impedance of j40 Ω. Determine Z in when k = 0.6. k 22 Q 60 Q 30 mH 12 mH Zin ell For the channel designed in Problem 14.33, compute the normal discharge that is expected for a slope of 0.12 percent if the channel is made from painted steel. Compare the result with that from... For the channel designed in Problem 14.32, compute the normal discharge that is expected for a slope of 0.12 percent if the channel is made from painted steel. In Problem Compute the flow area and... Figure 14.21 represents the approximate shape of a natural stream channel with levees built on either side. The channel is earth with grass cover. Use n = 0.04. If the average slope is 0.000 15,... Determine the normal discharge for an aluminum rain spout with the shape shown in Fig. 14.19 that runs at the depth of 3.50 in. Use n = 0.013. The spout falls 4 in over a length of 60 ft. 6 in 3.50... Water is flowing in a formed, unfinished concrete rectangular channel 3.5 m wide. For a depth of 2.0 m, calculate the normal discharge and the Froude number of the flow. The channel slope is 0.1... The switch in Fig. 16.77 has been in position 1 for t < 0. At t = 0, it is moved from position 1 to the top of the capacitor at t = 0. Please note that the switch is a make before break switch; it... Determine i o (t) in the network shown in Fig. 16.70 . 20 + 40u(t) V (t 2 H -/4 Solve for the mesh currents in the circuit of Fig. 16.57 . You may leave your results in the s-domain. 1H 20u(t) V (+ H ( 12 Mount McKinley (also called Denali) is the tallest mountain in North America, with a height of 6200 m above sea level. If a person of mass 120 kg walks from sea level to the top of Mount McKinley,... As weve seen, Eq. (7.33) describes the beat pattern. Lets now derive a different version of that expression assuming that the two overlapping equal-amplitude cosine waves have angular spatial... A vehicle is to be propelled by a jet of water impinging on a vane as shown in Fig. 16.18. The jet has a velocity of 30 m/s and issues from a nozzle with a diameter of 200 mm. Calculate the force on... Consider two cars, one a compact model (m = 800 kg) and the other an SUV (m = 2500 kg). The SUV is traveling at 10 m/s, while the compact car is traveling at an unknown speed v. If the two cars have... What is the magnitude of the momentum of a baseball (m = 0.14 kg) traveling at a speed of 100 mi/h? Express your answer in SI units. Considering the double-slit experiment, derive an equation for the distance y m' from the central axis to the m'th irradiance minimum, such that the first dark bands on either side of the central... Figure P.9.5 shows an output pattern that was measured by a tiny microphone when two small piezo-loudspeakers separated by 15 cm were pointed toward the microphone at a distance of 1.5 m away. Given... Left-circular light of wavelength 590 nm traveling in the z-direction is to be converted into right-circular light by passing perpendicularly through a plate of quartz. The quartz has been cut and... Take two ideal Polaroids (the first with its axis vertical and the second, horizontal) and insert between them a stack of 10 half-wave plates, the first with its fast axis rotated /40 rad from the... A force of magnitude F is applied to a rod at various spots and at various angles (Fig. Q8.16). In which case, (1), (2), or (3), is the magnitude of the torque largest? Smallest? Figure Q8.16 Hinge 3) A cylinder rolls without slipping down an incline that makes a 30 angle with the horizontal. What is the acceleration of the cylinder? The energy per unit area per unit time per unit wavelength interval emitted by a blackbody at a temperature T is given by At a specific temperature, the total power radiated per unit area of the... A block of mass 20 g sits at rest on a plate that is at the top of the fluid on one side of a U-tube as shown in Figure P10.38. The U-tube contains two different fluids with densities 1 = 1000 kg/m... We want to make a Fresnel zone plate with a principal focal length of 2.00 m for krypton ion laser light of wavelength 647 nm. How big should the central transparent disk be? If it has 30 transparent... Figure P11.3 shows the displacement of a simple harmonic oscillator as a function of time. (a) Find the period, frequency, and amplitude of the oscillator.? (b) At what time(s) does the acceleration... A friend of yours is asked to design a swing using two ropes attached to the branch of a tree, and he shows you the design as sketched in Figure Q11.1. Explain why this design will not work very... The children in Figure Q17.8 are rubbing balloons on their hair and then placing the balloons on the wall and ceiling. If the rubbing process puts excess electrons on the balloon, how does the... Explain why the childs hair in Figure Q17.8 is standing on end. Figure Q17.8 Two particles with electric charges Q and -3Q are separated by a distance of 1.2 m. (a) If Q = 4.5 C, what is the electric force between the two particles? (b) If Q = -4.5 C, how does the answer... A particle of positive charge is released from rest and is found to move as a result of an electric force. Does the particle move to a region of higher or lower potential energy? Does the particle... Repeat Question 6 for an electron. Data From Problem 6 A particle of positive charge is released from rest and is found to move as a result of an electric force. Does the particle move to a region of... An electron is moved from an initial location where the potential is V i = 30 V to a final location where V f = 150 V. What is the change in the electrons potential energy? Express your answer in... A proton moves from a location where V = 75 V to a spot where V = -20 V. (a) What is the change in the protons kinetic energy? (b) If we replace the proton with an electron, what is the change in... An incandescent lightbulb contains a fi lament that has a certain electrical resistance R. The brightness of the bulb depends on the current and increases as the current through the fi lament is... If the diameter of a piece of wire is reduced by a factor of 2.5, by what factor does the resistance change? If the current through a resistor is increased by a factor of 3, by what factor does the voltage change? The photo in Figure Q20.1 shows a beam of electrons moving from right to left in a glass tube in which a vacuum has been established. This beam is deflected downward by a magnetic field. What is the... A conducting loop is pulled at constant velocity through a region in which the magnetic field is constant, both inside and outside the loop (Fig. Q21.8). Explain why the induced emf is zero. *B ... A metal bar of length L 1.5 m slides along two horizontal metal rails as shown in Figure P21.14. A magnetic field of magnitude B 2.3 T is directed vertically. (a) If the bar is moving at speed v 0.54... A metal bar of length L = 0.60 m slides freely on two frictionless, horizontal metal rails as shown in Figure P21.25. The entire circuit has resistance R = 200. A magnetic field B = 1.5 T is directed... An angler observes a fish whose image is 10 m from the shore. Is this fish closer to or farther from the shore than its image? Explain. Draw a ray diagram. What is the average speed of a molecule of H 2 O in the atmosphere? Assume a nice spring day with T = 20C (= 293 K). Two cylindrical resistors are made from the same material and have the same length. When connected across the same battery, one dissipates twice as much power as the other. How do their diameters... A 3-g snail crawls at 0.5 mm/s between two rocks 15 cm apart. Treating this system as an infinite square well, determine the approximate quantum number. Does the correspondence principle permit the... List 10 items that must be specified for pumps. A venturi meter similar to the one in Fig. 15.2 is attached to a 4-in Schedule 40 steel pipe and has a throat diameter of 1.50 in. Determine the pressure difference across the meter that would be... Suppose a star had a cool interior surrounded by a hot atmosphere. What kind of spectrum would it have? The suns energy comes from a. Nuclear fission b. Radioactivity c. The conversion of hydrogen to helium d. The conversion of helium to hydrogen Describe the spin spin splitting patterns that you expect for each signal in the 1H NMR spectra of the five bromocyclopropane derivatives illustrated in Problem 35. Note that in these compounds the... Rework Problem 37 as it pertains to 13 C NMR spectroscopy. Rework Problem 37 For each compound in each of the following groups of isomers, indicate the number of signals in the 1 H NMR spectrum, the... Show how you would synthesize each of the following molecules from an alkene of appropriate structure (your choice). Br H () (b) I (meso-4R,5S-isomer) H Br H Br Br H (d) (Racemate of 4R,5R and 4S,5S... Propose efficient methods for accomplishing each of the following transformations. Most will require more than one step. Br () (b) (meso-2R,3Sisomer) () (Racemate of 2R,3R and 2S,3S isomers)... Name each of the compounds below, using the IUPAC system of nomenclature. CI OH () (b) (d) () (f) (a) Write the expected product of the reaction of 3-octyne with Na in liquid NH 3 . (b) When the same reaction is carried out with cyclooctyne (Problem 33b), the product is cis-cyclooctene, not... Starting with cyclohexene, propose a reasonable synthesis of the cyclohexene derivative shown in the margin. OH Rank the compounds in each of the following groups in order of decreasing reactivity toward electrophilic substitution. Explain your rankings. || OCCH3 CH3 CHCI, CH,CI OCH; O Na+ () (b) CH,CH;... Give the product(s) that would be expected on reaction of 3-pentanone with 1 equivalent of LDA, followed by addition of 1 equivalent of () CH,H,Br (b) (CH),CI () (CH)-CH,OS- CH3 (d) (CH),CI Give the likely products for each of the following aldol addition reactions. NaOH, H,O () 2 -CH,CHO NaOH, H,O (b) - + (H3)CHO NaOH, H,O CH3 NaOH, H,O () H3C (d) CH3 Aldol condensations may be catalyzed by acids. Suggest a role for H1 in the acid-catalyzed version. Give the expected product(s) of each of the following reactions. 1. LDA, THF 2. BICH,COCH, H 1. LDA, THF 2. CH.CH Br, HMPA (a) CH,CCH,CH,CH3 (b) 0: The aqueous hydroxide-promoted reaction of the compound shown in the margin with (CH 3 ) 3 CCHO yields exclusively one compound. Which one is it? (a) (b) (c) (d) H;CC -CH; For each species in Problem 32, indicate the resonance form that is the major contributor to the resonance hybrid. Explain your choices. Data From Problem 32 CH3 () (b) () (d) Rank each of the following groups of organic compounds in order of decreasing acidity. (a) (b) (c) (d) (e) CH;CH,CO,H, CH;CCH,OH, CH;CH,CH,OH Formulate a mechanism for the acid-catalyzed transesterifi cation of ethyl 2-methylpropanoate (ethyl isobutyrate) into the corresponding methyl ester. Your mechanism should clearly illustrate the...
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