systems engineering written examination - specifications ... · pdf file• place the...

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SAMPLE SYSTEMS ENGINEERING Written examination Day Date Reading time: **.** ** to **.** ** (15 minutes) Writing time: **.** ** to **.** ** (1 hours 30 minutes) QUESTION AND ANSWER BOOK Structure of book Section Number of questions Number of questions to be answered Number of marks A 20 20 20 B 19 19 80 Total 100 Students are permitted to bring into the examination room: pens, pencils, highlighters, erasers, sharpeners, rulers and one scientific calculator. Students are NOT permitted to bring into the examination room: blank sheets of paper and/or white out liquid/tape. Materials supplied Question and answer book of 24 pages including formulas on page 24. Answer sheet for multiple-choice questions. Instructions Write your student number in the space provided above on this page. Check that your name and student number as printed on your answer sheet for multiple-choice questions are correct, and sign your name in the space provided to verify this. All calculations must show appropriate formulas and working. All written responses must be in English. At the end of the examination Place the answer sheet for multiple-choice questions inside the front cover of this book. Students are NOT permitted to bring mobile phones and/or any other unauthorised electronic devices into the examination room. © VICTORIAN CURRICULUM AND ASSESSMENT AUTHORITY 2013 Version 3 – December 2017 SUPERVISOR TO ATTACH PROCESSING LABEL HERE Victorian Certificate of Education Year STUDENT NUMBER Letter

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Page 1: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

S A M P L ESYSTEMS ENGINEERING

Written examination

Day Date Reading time: **.** ** to **.** ** (15 minutes) Writing time: **.** ** to **.** ** (1 hours 30 minutes)

QUESTION AND ANSWER BOOK

Structure of bookSection Number of

questionsNumber of questions

to be answeredNumber of

marks

A 20 20 20B 19 19 80

Total 100

• Studentsarepermittedtobringintotheexaminationroom:pens,pencils,highlighters,erasers,sharpeners,rulersandonescientificcalculator.

• StudentsareNOTpermittedtobringintotheexaminationroom:blanksheetsofpaperand/orwhiteoutliquid/tape.

Materials supplied• Questionandanswerbookof24pagesincludingformulasonpage24.• Answersheetformultiple-choicequestions.

Instructions• Writeyourstudent numberinthespaceprovidedaboveonthispage.• Checkthatyournameandstudent numberasprintedonyouranswersheetformultiple-choice

questionsarecorrect,andsignyournameinthespaceprovidedtoverifythis.• Allcalculationsmustshowappropriateformulasandworking.

• AllwrittenresponsesmustbeinEnglish.

At the end of the examination• Placetheanswersheetformultiple-choicequestionsinsidethefrontcoverofthisbook.

Students are NOT permitted to bring mobile phones and/or any other unauthorised electronic devices into the examination room.

©VICTORIANCURRICULUMANDASSESSMENTAUTHORITY2013

Version3–December2017

SUPERVISOR TO ATTACH PROCESSING LABEL HEREVictorian Certificate of Education Year

STUDENT NUMBER

Letter

Page 2: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 2 Version3–December2017

SECTION A – continued

Question 1Aboatwinchhasadrivergearof20teethandadrivengearof160teeth.Whatisthegearratio?A. 0.125:1B. 1:8C. 8:1D. 16:1

Question 2Whenanewproduct(forexample,anewcar)isdesignedforthemarket,extensivefield-testingisusuallycarriedoutontheproduct.ThepurposeofthistestingistocheckwhetherA. theproductwillsell.B. peoplewillliketheproduct.C. theproducthastherightrangeofcolours.D. theproductperformstoitsdesignrequirements.

Question 3

gear Z

gear Y

gear X

Inthediagramabove,ifgearXmovesclockwisethengearZwillrotateA. clockwiseandfasterthangearX.B. clockwiseandslowerthangearX.C. anticlockwiseandfasterthangearX.D. anticlockwiseandslowerthangearX.

SECTION A – Multiple-choice questions

Instructions for Section AAnswerall questionsinpencilontheanswersheetprovidedformultiple-choicequestions.Choosetheresponsethatiscorrect forthequestion.Acorrectanswerscores1,anincorrectanswerscores0.Markswillnotbedeductedforincorrectanswers.Nomarkswillbegivenifmorethanoneansweriscompletedforanyquestion.Unlessindicateddiagramsarenottoscale.

Page 3: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

Version3–December2017 3 SYSENGEXAM(SAMPLE)

SECTION A – continuedTURN OVER

Question 4ThecorrectworksequencetoreducetheriskofinjurytoapersonisA. riskassessment,hazardidentification,riskcontrol.B. hazardidentification,riskassessment,riskcontrol.C. riskassessment,riskcontrol,hazardidentification.D. riskcontrol,hazardidentification,riskassessment.

Question 5A20-cm-longspannerisusedtoproduceatorqueof60Nm.TheforceappliedtothespannerisA. 3NB. 12NC. 120ND. 300N

Use the following information to answer Questions 6 and 7.

A

B

CD

Question 6 Thehydraulicpumpmovesfluidfromatanktotheoutlet.TherotorsAandBhaverotarymotionthatisA. clockwiseforboth.B. anticlockwiseforboth.C. clockwiseforAandanticlockwiseforB.D. anticlockwiseforAandclockwiseforB.

Question 7ThefluidpressuresareA. zeroatpointCandpointD.B. thesameatpointCandpointD.C. highatpointCandlowatpointD.D. lowatpointCandhighatpointD.

Page 4: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 4 Version3–December2017

SECTION A – continued

Question 8

car handbrake

X

Y

Z

Onthediagramofthecarhandbrakeleverabove,whatarethecorrectpositionsoftheeffort,loadandfulcrum?

Effort Load Fulcrum

A. X Y ZB. Z Y XC. Y X ZD. X Z Y

Question 9

500 mm

200 mm

cable

car handbrakeforce

Onthediagramabove,theforceappliedtothehandbrakeleverbytheoperator’shandis40N.Whatistheforceappliedtothecable?A. 100NB. 200NC. 300ND. 700N

Page 5: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

Version3–December2017 5 SYSENGEXAM(SAMPLE)

SECTION A – continuedTURN OVER

Question 10AsemiconductorisusedintheconstructionofA. arelay.B. atransformer.C. alight-emittingdiode(LED).D. anelectrolyticcapacitor.

Question 11

4 nf 6 nf

Whatisthetotalcapacitanceofthecircuitshownabove?A. 2nfB. 2.4nfC. 10nfD. 24nf

Question 12Batteriescanbeconnectedinseriesorinparallel.ThemainreasonforconnectingbatteriesinparallelistoincreasetheA. availablecurrent.B. voltageavailable.C. internalresistance.D. externalresistance.

Page 6: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 6 Version3–December2017

SECTION A – continued

Question 13

let D1 = 0

start

stop

let D1 = 1 + D1

let D0 = 0

let D0 = 1 + D0

wait 1

wait 1

D0 = 5N

N

Y

Y

low 0

D1 = 5

high 0

Aflowchartforamicrocontrollerprogramisshownabove.‘High0’turnsanLEDon.‘Low0’turnsitoff.‘Wait1’isaone-seconddelay.HowmanytimeswilltheLEDturnonandoffinthisprogram?A. onceB. 10timesC. 20timesD. 25times

Question 14

voltage

time

Thedisplayonacathoderayoscilloscopeisshownabove.Giventhatthehorizontalscaleis0.01secondsperdivisionandtheverticalscaleis2Vperdivision,thevoltageandfrequencyoftheabovesignalareA. 3Vand1HzB. 3Vand2HzC. 6Vand50HzD. 6Vand100Hz

Page 7: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

Version3–December2017 7 SYSENGEXAM(SAMPLE)

SECTION A – continuedTURN OVER

Question 15

driven gear

driver gear

Thedriverinthegearabovehas8teethandturnsclockwise.Thedrivengearhas22teeth.Whatisthegearratioofthedrivengeartothedrivegearandthedirectionofrotationofthedrivengear?A. 4:11clockwiseB. 4:11anticlockwiseC. 11:4clockwiseD. 11:4anticlockwise

Question 16Solderwire,usedintheconstructionofelectroniccircuitsinthepast,containedametalthatislinkedtoahealthhazard.ThishazardousmetalwasA. tin.B. iron.C. lead.D. copper.

Question 17

Forward voltage Current drawn

Green 2.1V 20mA

Blue 3.5V 20mA

Thetableaboveshowsthespecificationsfor5mmgreenand5mmblueLEDs.ThegreenLEDcomparedtotheblueoneA. haslowerresistance.B. hashigherresistance.C. consumesmorepower.D. consumesthesameamountofpower.

Page 8: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 8 Version3–December2017

END OF SECTION A

Question 18

1 14 VDD + 3 –15 V

VSS 0 V

2 13

3 12

4 11

5 10

6 9

7 8

The4011integratedcircuitshownabovehasfourlogicgates.Totestthelogicgateconnectedtopins1,2and3,voltagevaluesaremeasuredandrecordedashighorlow.Whichtablebelowrepresentsthecorrectoperationofthatlogicgate?

A. B. C. D.

Pin Voltage

1 low

2 low

3 low

Pin Voltage

1 high

2 low

3 low

Pin Voltage

1 high

2 high

3 low

Pin Voltage

1 low

2 high

3 low

Question 19Anundersizedelectricalcableisselectedtoconnectapowersupplytoanoperatingcircuit.ThemajorhazardthatislikelytooccuristhattheelectricalcablewillA. break.B. overheat.C. shortcircuit.D. nothaveenoughresistance.

Question 20

VIN = 240 VAC200 windings

VOUTNs = 20

ThevalueofthevoltageacrosstheoutputwindingsisA. 12 VB. 24VC. 240VD. 2400V

Page 9: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

Version3–December2017 9 SYSENGEXAM(SAMPLE)

SECTION B – continuedTURN OVER

The following information relates to Questions 1–18.Avehicleistobeconstructedsothatitispoweredbyanelectricengine.Therearetwomainsubsystemsinthevehicle:themechanicalsubsystemandtheelectrical/electronicsubsystem.TwopossibleoutlinesoftheconceptaregiveninFigure1.

Figure 1

Question 1 (1mark)Whyisthisvehicleconsideredtobeanintegratedsystem?

Question 2 (4marks)Oneperformancespecificationofthevehicleisthatitshouldbeabletotravelataconstantspeedfor140km.a. Givetwootherappropriateperformancespecificationsthatcouldbeincludedinthedesign

brief. 2marks

1.

2.

b. Describeatestforoneoftheperformancespecificationsthatyounamedinpart a. 2marks

SECTION B

Instructions for Section BAnswerall questionsinthespacesprovided.Unlessindicatedthediagramsarenottoscale.

Page 10: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 10 Version3–December2017

SECTION B – continued

Question 3 (6marks)AsshowninFigure1,thevehiclecouldbeeitherathree-orfour-wheeledvehicle.a. Discusstwoissuesthatwouldarisewhendecidingwhichwheellayouttouse. 4marks

b. Theclienthasdecidedtoconstructathree-wheeledvehicle(tricycle). Givetwosafetyconsiderationsthatneedtobeaddressedwhendesigningthelayoutofthe

tricycle. 2marks

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Version3–December2017 11 SYSENGEXAM(SAMPLE)

SECTION B – continuedTURN OVER

Question 4 (6marks)Thebuilderofthevehiclewantstoexplorethepossibilityofpoweringthevehiclewithnewtechnology.Hedoesnotwanttousefossilfuels.Atthisstage,thebuilderdoesnotwanttousesolarenergy.a. Nametworenewablesourcesofenergy(otherthansolarenergy). 2marks

1.

2.

b. Explainhowoneoftherenewablesourcesofenergythatyounamedinpart a.couldbeusedtopowerthetricycle. 2marks

c. Discussoneenvironmentaladvantageoftherenewablesourceofenergythatyoudescribedinpart b. 2marks

Page 12: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 12 Version3–December2017

SECTION B – continued

Question 5 (5marks)

solar panel

Thebuilderofthevehicleeventuallydecidestochargethebatteryusingsolarpanels.Thebuilderdecidestousea2m2panelthatgeneratesapeakoutputof100W.a. Calculatehowmanywattsofsolarpowerwillfallonthesolarpanelifthesolarcellsare

20percentefficient. 2marks

Theprocessofchargingthebatteryis90percentefficient.Themotorthatisusedis85percentefficient.b. Calculatethecombinedefficiencyofthebatterysystemandoperatingthemotor. 1mark

c. Whatmightbeonedisadvantageofpoweringthetricyclewithsolartechnology? 2marks

Page 13: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

Version3–December2017 13 SYSENGEXAM(SAMPLE)

SECTION B – continuedTURN OVER

Question 6 (3marks)Onedesignoptionforthevehicleistoincorporateaself-centringsteeringmechanism.Anotherdesignoptionistohavetheshaftsatanangle.

a a

shaft

height

Figure 2

a. Whathappenstotheheightofthevehiclewhenthewheelschangedirection? 1mark

b. Intermsofpotentialenergy,explainhowtheself-centringmechanismwouldwork. 2marks

Page 14: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 14 Version3–December2017

SECTION B – continued

Question 7 (7marks)a. Designasafesteeringmechanismforthetricycle.Drawandlabelthepartsonthediagram

below. 3marks

b. Listtwoprocessesthatwillbeneededtoconstructthesteeringmechanism. 2marks

1.

2.

c. Giveadifferentsafetyprecautionforeachoftheprocessesthatyoudescribedinpart b. 2marks

1.

2.

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Version3–December2017 15 SYSENGEXAM(SAMPLE)

SECTION B – continuedTURN OVER

Question 8 (5marks)Achainaroundthetwo-cogdrivesystemisadesignoptionforthetricycle.Dataisshowninthetablebelow.

speedoftricycle 40.0km/hor11.1m/s

rpmofaxle 600rpm

cogsavailable teethfrom10to60

motorspeed 6000rpm

a. Calculatethecircumferenceofthewheel. 2marks

b. Drawadrivesystemonthediagrambelowthatwouldsatisfytheconditionsstatedinpart a. andthetableabove.Givethenumberofteethoneachcog.Justifyyouranswerbyshowingrelevantcalculations. 3marks

motoraxle

Page 16: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 16 Version3–December2017

SECTION B – continued

Question 9 (4marks)Ahydraulicdiscbrakingsystemistobeusedonthevehicle.Thediameterofthediscbrakecylinderis60.0mmandthediameterofthemastercylinderis20.0mm.ThebrakingsystemisshowninFigure3.

master cylinder

brake pedaldisc brakecylinder

axle

disc

brake pads

Figure 3

a. Calculatethepressureinthesystemifaforceof120.0Nisappliedtothebrakepedal.Includeanyworkingandthefinalunits.Giveyouranswertothreesignificantfigures. 2marks

b. Calculatetheforceappliedtoeachofthebrakepads.Giveyouranswerinnewtons(N)andtothreesignificantfigures. 2marks

Question 10 (2marks)Thetricycleistobepoweredbya200Wmotorwithasupplyvoltageof40Vatmaximumoutput.Calculatethecurrentthroughthemotor.

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Version3–December2017 17 SYSENGEXAM(SAMPLE)

SECTION B – continuedTURN OVER

Question 11 (3marks)Themotoristobewiredupwithaswitch,battery,ammeterandapotentiometerthatisusedtovarythespeed.Completethewiringdiagrambelow.

A M

Question 12 (5marks)AgraphofpowerconsumptionversusspeedisgiveninFigure4below.

20018016014012010080604020

5 10 15 20 25 30 35 40

Power consumption versus speed

power output (W)

speed (km/h)

Figure 4

a. UsetheinformationfromFigure4abovetocalculatetherangeofthetricycleifitistocruiseat25kmh–1.Assumethata40Vsupplytothemotoranda10Ahbatteryareused. 2marks

b. Howfarwillthetricycletravelatfullpower? 2marks

c. Explainwhythereisadifferenceintherangeofthetricycleatdifferentspeeds. 1mark

Page 18: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 18 Version3–December2017

SECTION B – continued

Question 13 (4marks)Thetricycledoesnotmeettheperformancespecificationofhavingarangeof140km.Givetworecommendationsforchangestothetricycleinordertomeettheperformancespecificationabove.Justifyeachrecommendation.

1.

2.

Question 14 (4marks)Someoftheprocessesintheconstructionofthetricycleareshownbelow.Constructaproductionsequenceforthetricyclebynumberingtheprocessesbelow.

Process Number

constructionofframe

computer-simulationofelectronics

constructionofsteeringsystem

installationofbrakes

mountingmotorandgearbox

simulationofmotorandgearbox

mountingwheels

wiringtheelectricalcomponents

Page 19: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

Version3–December2017 19 SYSENGEXAM(SAMPLE)

SECTION B – Question 15 –continuedTURN OVER

Question 15 (7marks)Inordertomaintainthetricycleataconstantspeed,aspeedometerisrequired.Asystemsdiagramforaspeedometerisgivenbelow.

input device

AninputdeviceistobeattachedtothetricycletoproducethesignalshowninFigure5below.

9 volts

voltage

0 voltstime

Figure 5

a. ExplainwhythesignalshowninFigure5isconsideredadigitalsignal. 1mark

b. Nameaninputdevicethatcanbeusedonthetricycletoproducethesignalshownin Figure5. 1mark

c. Onthetricyclebelow,placetheinputdevicethatwasnamedinpart b.sothatitwillgeneratethesignal. 1mark

d. Howmanypulsesperrevolutionofthewheelarethereforthisinputdevice? 1mark

Page 20: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 20 Version3–December2017

SECTION B – continued

e. Drawthisinputdeviceinacircuitdiagramsothatitwillproducethegivensignal.Labelallcomponents. 3marks

Question 16 (2marks)Amicrocontrolleristobeusedtoconvertthesignaltogiveadecimaloutputthatwilllaterbereadouton7-segmentdisplays.Thepinconfigurationofan18-pinmicrocontrollerisshowninFigure6.

123456789

181716151413121110

ADC 2/input 2serial out

serial inreset

0 Voutput 0

output 1/12c sdaoutput 2

output 3/pwn 3

input 1/ADC 1input 0/ADC 0/infraininput 7/keyboard datainput 8/keyboard clock+Voutput 7output 6output 5output 4/12c scl

microcontroller

Figure 6

a. Whichpinisconnectedtothevoltagesupply? 1mark

b. Thesignalfromthesensorwillbeconnectedtoapin. Nameapintowhichthesignalcanbeconnected. 1mark

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Version3–December2017 21 SYSENGEXAM(SAMPLE)

SECTION B – continuedTURN OVER

Question 17 (4marks)Themicrocontrollerwillneedtobeprogrammedtoconverttheinputsignalfromthesensorintoadecimaloutputthatgivesthevelocity.Theinputsignalisfromyourinputsensorandthecircumferenceofthewheel is1.2m.Drawaflowchartorwriteashortprogramtoperformtheprocessofconvertingtheinputsignalfromthesensorintoadecimaloutput.Anyformulausedmustbestated.

Page 22: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 22 Version3–December2017

SECTION B – continued

Question 18 (3marks)Themicrocontrollerhasacommandtoconvertadecimaloutputintoa4bitBinaryCounttoDecimal(BCD)signal.Thatis,abinarysignalthatcountsfrom0to9.Usingthe4bitoutputpinsofthemicrocontroller,thedecimaloutputcanbeconvertedtoaBCDsignal.(Eachdecimaldigitisrepresentedbya4bitbyte.)Thepinconfigurationofthe45117-segmentdriveranda7-segmentdisplayaregivenbelow.

1

4511

16

2 15

3 14

4 13

5 12

6 11

7 10

8 9

+2 to +6 V HC+5 V LS/HCToutput f

output g

output a

output b

output c

output d

output e

input B (2)

input C (4)

display test

blank output

blank input

input D (8)

input A (1)

0 V

g f Gnd a b

e d Gnd c dp

a

bf

g

ce

d

common cathode

Figure 7

Completethecircuitboarddiagrambelowthatcanconvertthemicrocontrollersignaltoa7-segmentdisplay.Althoughnotdesirable,asingleresistorhasbeenputinserieswiththedisplay.

input Ainput Binput Cinput D

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Version3–December2017 23 SYSENGEXAM(SAMPLE)

END OF SECTION B

Question 19 (5marks)Emergingtechnologiesincludemotorvehiclesthatareconsideredtobelow-orno-emissionvehicles.Theseincludethefollowing.

Type 1: Hybrid Ahybridispoweredbyasmallerthannormalinternalcombustionengine.Extrapowerisprovidedbyanelectricmotorthatissuppliedbyabatteryforstop-startcitydrivingandacceleration.Thisvehicleisconsideredtobealow-emissionvehicleandhasarangesimilartoconventionalvehicles.

Type 2: Rechargeable batteryAnothertypeisavehiclepoweredentirelybyanelectricmotorthatissuppliedfromabatteryandhasarangeof80–100km.Thebatterycanberechargedfrommainselectricity,thereforeemittingnoemissionsfromthevehicleinoperation.Thevehiclealsocontainsanengine-poweredgeneratorthat,whenactivated,canextendtherangemuchfurtherbyrechargingthebatterywhilebeingdriven.Thevehicleisalsoconsideredtobelow-emissionwheninthe‘enginechargingthebattery’mode.

Type 3: Mains-only rechargeable batteryAthirdvehicleonthemarketisanelectricvehiclethatispoweredentirelybyanelectricmotorthatissuppliedfromalargerbatterythatgivesitarangeofapproximately150km.Thebatterycanberechargedonlyfrommainselectricity,thereforeemittingnoemissionsfromthevehicleinoperation.

Analysetheadvantagesanddisadvantagesofusingeachtypeofmotorinacityenvironment.

Page 24: Systems Engineering Written examination - specifications ... · PDF file• Place the answer sheet for multiple-choice questions inside the front cover of ... The hydraulic pump moves

SYSENGEXAM(SAMPLE) 24 Version3–December2017

END OF QUESTION AND ANSWER BOOK

Gearratiofinal=gearratio1×gearratio2

Efficiency = output energyinput energy

× 100%

Voltage=current×resistance

Resistorsinparallel:Rt=R RR R

1 2

1 2

×

+

ColourcodesColour Valueblack 0brown 1red 2orange 3yellow 4green 5blue 6violet 7grey 8white 9gold 5%silver 10%

Resistorsinseries:Rt=R1 +R2

Power=voltage×current

Areaofcircle=�r2 (�=3.14)

Circumferenceofcircle=2�r

Force=pressure×area

gear A rpmgear B rpm

number of teeth gear Bnumber of teeth

= gear A

pulley A rpmpulley B rpm

radius of pulley Bradius of pulle

=yy A

Speed = distancetime

Gear ratio = number of teeth on driven gearnumber of teeth on driver gear

Mechanical advantage loadeffort

=

Torque=force×distance

Frequency = 1period

EfficiencyTotal=Efficiency1×Efficiency2

Formula sheet

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Version3–December2017 25 SYSENGEXAM(SAMPLE)

Answers to multiple-choice questions

Question Answer

1 C

2 D

3 B

4 B

5 D

6 C

7 C

8 D

9 A

10 C

11 B

12 A

13 D

14 C

15 C

16 C

17 A

18 C

19 B

20 B