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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 : “bu011; 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? ...
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