Quiz1 Solutions

Quiz1 Solutions - Emmoms ‘...

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Unformatted text preview: Emmoms ‘ asihiuaué'g‘n‘éefififi i3 £:;-i‘;L: ;=..1_‘jzflu,_, H V m: \ HT": I F 2(13 #3! CS) RUTGERS. raters? estate Multiple Choice (4 points each) 1. Power source A, follows the market penetration rule from 1985 to 2015 . The coefficients for .a and b are: a = 0048 and 5:94. Determine the fraction of source A, fA, that is taken by the market in 1-993: ' b. 0.1692 0. 0.1556 c1. none of the above 2. Power source B, follows the market penetration rule, wherein the fraction of the market supplied by source B in 1990 was 0.01, and in 2000 was 0.0625. Determine the fraction of source B, f3, that was taken by the market in 19.9.9.3, , _. a. 0.0682 b. 0.0567 (:1. none of the above 3. Base load plants ' a. Usuall reduce 80% of the maximum load during the year. e. I“Canizétislljr‘and-i-nexpensively'vw output. d. Are the most efficient when operated at less-than full output 4. Peak load plants a. Operate 10—15% of the time. b. Are very expensive to operate in comparison to base load plants. 0. Can include fuel cell, wind and solar technologies. d. A and a "V. f A. '.' ("fl-V ficfioelgof énglfi‘eenng ‘ 5. A deviCe has voltage and current requirements that correspond to those presented in Figure 1. _ Thus, the amount of energytgequired by‘zthis device is: I a. 0.50 Wh b. 0.55 d. ndne of the above Voltage-(VI 5.0 fl 3.5 0 It '2 " u , '50 . . @320 : .. ,~ ; t r Tl'mebec) , - - . .tftzrtefii-l'mAF- - 40!] 3'00 200' ‘ 0- 6, 1‘ ‘ 120 _ Time-(sec) Figure]. 6. The dimensions and velocity vectors fete/Rump tasexptoyided.-in--the Table l -;and Figure ‘2' respectively. The pump is driven at 750 RPM and has a flow rate of 0.75 Ins/sec. Table 1 ‘ . ‘. x5 Figure 2 ‘ The radial component of the velocity at the inlet, le is equal to: ‘ a. 15.587 III/s . ‘0. 13.642 m/s‘ 0. 11.856 m/s (1. none of the above 7. The-velocity componentsjfor a turbo machine are provided in Figure 3. The geometry for the turbo machine is as. follows: Outer radius, n):- 300 mm, Inner radius? :2 =_ 150 mm, Flow rate = Q : 3 m3/s, Density of water, p = 1000 kg/m3 and Rotation rate =. to E 25 Radfsec. Vfi 3 3' W3 30a Vyz e: Wfi I E Figure 3 The absolute-inletveiioertywi -oftheitarbo==niachifié135(3anhis; ‘ ‘ ‘ a)9.650m/s ‘- = ' " b).6.5‘87 m/s v C)*~8;078~ml,§;nj ' "d5"91,.0"75'"rfifs'i-'. ' " Schoo! of Enginéefing Problem 2 points) A two bl‘adqdéllgé‘ggh speed, wind turbine has a rotor diameter of The density of air is 1.2 I kgl'lrnifl IUse fidfiinformation proficied imFigu're 3 tosup‘port your oalcuiations, and assume the _ advance ratio is equal to ‘1 1, and the wind speed is 8 mfs. ' ' 0.? (165 - . Eemumit, L H ' ", " ;I“--;«___P__m"_é_w I ' V ‘19" - i - . ,3 Giauertldeal I - V . . A 1 _ 0.5.. _E , . . mmflawgh SPW 0.435 e .7. ' - _ a V _ I ‘- I H --’,-Fv""" --, .. .1 “gm g. ' _f.twafladeflatrtaus..ni___.‘ my; _ .. -. ,. .A _. , 1* American ibiultiihlatle ms; “stat-mam ~ 7 Deer-=2 s- at s .e r, s 91'0'112 13 14 '15 15 F Advance mama,tip-epaedfiama‘spaad ‘ 7 Determine the following: - rm {‘3 m 2” i ~ W \\ {5‘23} ~ haste???) a. The power provied by wind, Pwindv‘ mu *3 2 \ :- L ‘ I. b. The maximum available power that can be provided assuming Betz limit, Pmax. : e, ",3; 1:446aammwmanaemiatie-nay; c. The reasonable power provided by a two blade, high speed, wind turbine, Preasonable. i \Z. ~; ., w fl iii-1. f3: .- - - . - ‘ ,J I. - 3.. {l i 7 Is ix: 1 .. ‘ IA 7. . entugbigig -‘S>:¥I1ied'h;£§ “1.1.1103 Ag}; awmm : VJ (£83598 ’3 . ‘5‘ E: at‘ W11 erv1ce 25,0 omes. aod’ home will require 3 kW of power. How many wind turbines are required to service this _ I. m I \II I ‘é “‘J . g. The Iiyil‘ll'haye spacinjgegf 2.5 [rotor to the " A The total area available for the ‘Wind farmvis 2.0 e7 is the turbinespacjng parafla to 1 the wind-? - _ new = ' 2 we :7 ' @9000? ’ ' barge 3.. Problem 2 (40 pois'éii A hydroelectric facilityextracts power from a reservoir at an elevation of 815 meters, ' discharging into a tailrace at an elevation of 200 meters. The system has a penstock that is 1500 meters long and 0.65 meters in diameter. The minor losses are Km3 and C=1200, and the roughness, 8 = 0.046 mm for a commercial pipe. Assume the dynamic viscosity of water is 1.14e-3 N—s/mz, the flow rate, Q is equal to 2 m3/s, and the density of water is 1000 kg/rns. a) Determine the output power extracted by the turbine if the turbine efficiency is eoual to 0.95. [3*- g‘: t o ’“it 7" D? o) H RUTGERS. -=":-; Ifiéhéélfiffibélfiefiffis . L 2% X 5 . c) If the customary (dimensionallpowerspécific speed, NGust '=_' 100, determine the Speed, 50,111 RPM; RUTGERS School of Engineering MAE 1'4:e50:474 Alternative Energy Systems d) If the whine rotor radius at the inlet is 1.75 meters and the blade height is 0.45 meters, determine the radial component of the absolute velocity. r‘ - :: new tn 2 outs“ \fms: Q fies-k :3 00"} 4 It em 2 ti UPemXoesm ...
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This note was uploaded on 02/08/2011 for the course ME 650:474 taught by Professor Cook during the Spring '11 term at Rutgers.

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Quiz1 Solutions - Emmoms ‘...

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