{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Exam1SP10Soln_mod

Exam1SP10Soln_mod - Name fiection 9:3_Ariyur 11:30_Savran...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Name: fiection: 9:3(}_Ariyur 11:30_Savran ME 365 EXAM 1 Thursday February 2 5, 2 010 6:30—7:30 p.111. FORNEY G140 PROBLEM POINT DISTRIBUTION SCORE 1 35 points 2 40 points 3 35 points 4 40 points TOTAL 150 points Percentage: 2/3 Total = 0 Don’t forget your name and please circle your section instructor. 0 Exam is 6 pages including this cover page: make sure you're not missing any pages. - If you use extra pages, indicate on the problem page that you’re continuing onto an extra page. 0 Pay attention to units. 0 Explain your reasoning. Correct answer with wrong explanation : no credit. Prokiem 1. MG 120 106 :3: an E 53 g so {3 4B 4:— 0 U 2 4 6 8 1G 12 14 Force (N) According to the force transducer calibration data provided above, a) What is the input range and span? @0193: G p 3c? 12 [Q 39%“, 31%.») b) What is the output range and span? xlcmy: “2,3 to my; mm gem: \Zc—Zo : 100 W“ c) What are the sensitivity and the bias? ‘4: w ivy} : 30/5593 btagsz/m KO ‘6 p d) What is max nonlinearity as a percentage of full scale deflection? WWW {\9A\) a 2 (L9 MM at X; 12.. Ma 32/ 7&\GO :— 2,3 We no ~23 e) If the smallest change in deflection that can be measured with the system is 1 mm, then what is the smallest change in force that can be measured? pee" CM t i’mhiem 2‘ Part 1. You have an 8—bit ADC with a nominai range of £19 V and pesitiv- codes oniyi a} What is the quantization intervai {Q}? ‘51: M— égdaoig‘v/ g '29 2 b) What is the incoming voitage range that couid produce a code of 100? /\ A . _ v1“ : Codex ®q \ipamm : buoys—— ia‘v‘: _2ii2W A . \f5\k‘aaxfi‘ CC“ ha mqw‘mafi wfikifl Viq'ESL/Z 3: "ZJSSéjE ng \/ or ~Lit‘g’:o.o%?v Gr 42‘2““? to ~2in 2 c) If you used a higher bit system, What wouici happen to the range in part b? kk Woo\ C} Skrfr‘ig bf? C “v.35 (ii Lgocg ski‘ZALq d) If this ADC is used in conjunction with a thermocouple whose static sensitivity is 10 V/°C, what is the input resolution of this system? ”51:59 Q “9qu — aoo’ttm J»: M " i4 " EL, ‘3 Viz PartZ. If your ADC has a sampling frequency of 1000 Hz. 3) Which frequencies can you measure with this system without aliasing? \css {WA €03 H1 (35/2? b) ifthe incoming frequency is 1010 Hz, what will be the apparent frequency? \L‘} Problem 3, Voltage measurements taken to characterize noise in a radar antenna follow a Gaussian distribution with a mean of 0V and a standard deviation of Zn’v’. a] In a data set of100,000 voltage measurements, how many values do you expect will fall between -3.92 nV and +3.92 0V? 26L: jg‘q‘; :~__ dlhqé :1 qul' b) What is the probability that we will get a voltage measurement greater than SnV? PCX? 5F”) :: PCEQ7 9J5) _ l ... PC»2~5<2Q<2*5> : l~o»Cl&:lé .. _____________,___.,_,..____ Z Z :LO'OOQZ, c) If the mean of the sampled data is 0.01 0V, what is the 95% confidence interval of the mean voltage for the above sample? Q3; cool : “bu-011; O‘olfo‘MZLLHV = V: -———-——-r* Wmlaxvalh [10.009.4’1V90‘0214HVJ d) How many measurements are neededkto ensure a 99% confidence interval in the same region? * ”W?” ”l l: W”: 0‘ ga qq‘l’ (16thch 5 24% “42‘58 Plow/Q (g, 030(14 —.: 27‘ 2‘58” 9 w—fi W M) N : \aalea (”W/“d “l“ Problem 4. Newton’s law of cooling for a body at temperature Tin fluid {air or water) environment with temperature To is given by: mo, “I" = nag—37,) ‘ dz Where to is the mass, Cp is the specific heat capacity, h is the convection coefficient, and A is the surface area ofthe body. . a) What are the time constant, static sensitivity and bias of the system? What are the natural frequency and damping ratio? b) lfm=1l<g, Cp=4501kg'1K'1, h=36Wrn‘2K‘1, A2122.186cm2 [when the iron is a sphere), T[O)=1200K, To=300K, find i. The particular solution 3:$\m\3\.8 KTO 1'2. (560K. P (at gm swag we) ii. The homogeneous solution ,._. O c} Usinc t1“ e solutmn from partb find the t we tak en by the item sph ere to c c 0 down to 310K d) If the Iron were instead a sheet with $31M .4 .l A: 254cm2, how much time does the Iron sheet take to cool down to 310K? e) How long does it theoretically take for the iron piece to cool down to exactly 300K111 parts 13 and c? ...
View Full Document

{[ snackBarMessage ]}