use of sensors and microcontroller in time dependent physics experiment

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    On the use of Different Digital and Analog S

    and Gizduino Microcontroller Atmega328 onClassical Time Dependent Phsics !"perim

    Researchers:

    Mark Danielle Cardio, Alyssa Valerio, Bryan Llenariza

    Patrick Joshua Montales, Marjoe Permejo and ReynoldLuna

    Polytechnic University of the PhilippinesCollee o! "cienceDe#artment o! Physical "ciences"ta$ Mesa, Manila %%&%, Phili##ines

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    O#T$%&! 'ld Vs Modern (ay o! Classroom Physics )*#eriments

    '+jecties "ini-cance o! the study

    "co#e and Limitation

    Di.erence o! Analo and Diital sensor

    /he 0izduino A/mea123

    )*#erimental Process and Data Ac4uisition Results and Discussion

    Conclusion

    (ork in Proress

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    Old 's Modern (a of performing Classical T

    Dependent Phsics !"periments in the Classr

    /he traditional 5ay o! measurements in classroom #hysics e*#emade use o! ruler, timer or sto#5atch$

    /he #recision o! the measurements 5ere a.ected +y the judmreaction time o! the #erson 5ho is doin the measurement$

    "ome e*#eriments are +ounded and limited to #er!orm due to !athat can6t +e accurately measured +y the naked eye as it needs cother ideo editin so!t5are to take measurements !or a ery sminteral$

    Data )ncodin, Calculation and Modelin are manually done a!tActual )*#eriment$

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    Old 's Modern (a of performing Classical T

    Dependent Phsics !"periments in the Classr

    /he modern 5ay o! measurements in classroom #hysics e*#erimuse o! the aaila+le technoloy like diital e4ui#ment that could the numerical and modeled +ehaior usin com#uters$

    /he #recision relies on the sinals send +y the sensors throuh t#rocessin units like com#uter, and microcontrollers$ ; and Modelincan +e done simultaneous to the e*#erimentation$

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    $et)s recall some of the Classical Time Depend

    Phsics !"periments

    Fig. 1.: )*am#les o! the De#endent Physics )*#er

    [3] Young and Freedman University Physics with Mode rn Physics, 13thed.

    8n sim#le harmonic motion,the motion is sinusoidal intime and demonstrates asinle resonant !re4uency$

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    O*+ecti'es

    /o test an accessi+le diital e*#erimental method tused in #er!ormin time de#endent classicae*#eriments$

    /o re#er!orm certain classical time de#endene*#eriments usin diital and analo sensors$

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    Significance of the Stud

    (ith the use o! sensors and microcontrollers, #hysics e*#

    are can +e re#er!ormed easily and eciently 5here the +ethe e*#eriment is can +e simultaneously o+sered on the 5hile takin the measurements$

    /o address the need o! #u+lic schools students in terminterestin and challenin e*#erimental methods th

    deelo# learnin #rocess$

    /o enhance technical skills o! the #u+lic students !oc#rorammin, electronics and instrumentation in accordan"/)M curriculum$

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    Scope and $imitations of the St /he study 5ill !ocus on Classical /ime De#endent )*#erimen

    "im#le 7armonic Motion in !orm o! "im#le Pendulum an"#rin 'scillations, also a non time de#endent e*#eriment liLa5 5ere #er!ormed !or the determination o! the s#rin

    /he microcontroller used is 0izduino ;Mini> A/mea123 $:co#y or cloned ersion o! the Arduino E

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    Scope and $imitation

    /he e*#eriments 5ere done on a Fat +alanced s

    #reent miscalculations and errors on the data ac4

    /he e*#erimentation #rocess 5ere done tem#erature to make sta+le condition and mine.ect o! the tem#erature on the sensors$

    /he e*#eriments 5ere #er!ormed on small amoscillations$

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    Analog Sensors

    [2] Wester, !ohn and "a#it $ren. Measurement, Instrumentation, and Sensors Handbook, 2nd

    ed. %&% Press, %o'ryright 2(1)

    Fig. 2.: Plot o! the Possi+le Values thatcould +e o+tain !rom an Analo8nstrument$

    Analo sensors #roduccontinuous and #ro#orsinal$ )*am#le o! it isEltrasonic Distance "e

    Bar

    Distance

    Fig. 3.: (orkin #rian Eltrasonic Distan

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    Digital Sensors

    [2] Wester, !ohn and "a#it $ren. Measurement, Instrumentation, and Sensors Handbook, 2nd

    ed. %&% Press, %o'ryright 2(1)

    Fig. 4.: )*am#le o! a setu# that #roducout#uts ;le!t> and #lot !rom a diital senso;riht>$

    Diital sensors#roduce only +inaryout#uts & or %$

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    Gizduino ATmega328

    [1] *echnica# Manua# &ev. 1r1.Gizduino V4.0.

    e+gimo Mechatronics %entra#

    Com#onent "#eci-cation

    E% H A/M)0A 123 Micro#rocessoChi#

    E2 H 'n Board ?V VoltaeReulator

    E1 H PL21&1 E"B to R"212Bride Controller

    K% H %M7z crystal oscillator

    Table 1 "#eci-cations o! th

    Fig. 5.:Parts o! the 0izduino A/mea123

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    Data Ac,uisition on the !"periments

    Fig. 6.: Block diaram o! ho5 the data 5as o+tained !rom thee*#eriment$

    Manet

    L)D

    Reed "5itch

    "#rin

    Mass 5ith disk

    EltrasonicDistance"ensor

    0izduino A/mea

    "erial Conne

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    Data $ogging and Displa

    Fig. .: "o!t5are used !or data loin and modelin$ /heideo cli# on the riht side 5as recorded usin Cam"tudio$

    Lo ile

    Plot

    Arduino 8D) "erial Monitor and "erialPlotter

    Python

    BE/LLL

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    Simple Pendulum - Determining .g/

    Fig. !.: Arranement o"5itch and Manet ;Boerrors

    Fig. ".: 8t sho5s that the ac4uired alue o! Ncon!orms on its actual alue o! G$3 mOs2$

    &$% &$%? &$2 &$2? &$1 &$1? &$:

    &$%1

    &$%3

    &$21

    &$23

    &$11

    &$13

    !;*> P &$3:* Q &$&:

    R P &$G3

    Relation of the #trings $ength an% the #&'are of the (alf Perio% of )scillation

    /heoretical

    )*#erimental

    Linear

    ;)*#erimental>

    #&'are of the Perio%

    $ength

    Correlation 0.99147257

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    !rror Analsis on the Simple Pendulum

    !"periment

    Table 2. 8t sho5s the calculated error o! the ac4uired N !romthe e*#eriment$

    *+peri,ental TheoreticalPercentage *rro

    -al'es of Lenth

    )la#sed/ime

    Value o!SS

    Lenth)la#sed/ime

    Value o! SS

    &$1:3&$?G%G&:

    3G$%33T&$

    &2&$1:3 &$?G2&%

    G$3

    %$3 U

    &$21&$?:213&G

    ?G$2?1T&$

    %1&$21 &$?2:1 ?$? U

    &$2:1&$:332%:23

    %&$&G%T&

    $&?&$2:1 &$:G: 2$3 U

    &$%G1&$::&%%G&:

    3G$3??%T&$

    &&$%G1 &$::&G &$ U

    &$%:3&$1?%?:%

    G%%$G:GGT&

    $%&$%:3 &$13% 2%$G U

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    0oo1e)s $a( Determining the Spring

    Constant

    Fig. 1/.: Plot o! the "#rin constant

    ;k2&$3T&$1G>

    &$&2 &$&1 &$&: &$&? &$& &$& &$&3 &$&G &$% &$%%

    2$?

    2

    %$?

    %

    &$?

    &

    !;*> 2:$2G* Q &$%?

    R %

    !;*> 2:$3%* Q &$21

    R &$GG

    #pring 0onstant

    "ensor Based

    Linear ;"ensor

    Based>

    Manually Meas

    0hange in $ength ,

    Force

    Correlation &$GG?3:

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    Simple 0armonic Motion of a 45 grams (eigths in a

    &m $a*orator Spring

    Fig. 11.: Plot o! the /heoretical and )*#erimental Positiothe 'scillator

    & &$? % %$? 2 2$?&$&2

    &$&1

    &$&:

    &$&?

    &$&

    &$&

    &$&3

    #i,ple (ar,onic otion

    Readin !rom the "ensor /heoretical Position

    Ti,e s

    Position ,

    "mallest D

    2$%&)&7ihest Di.

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    Phase Space of the Mass during the Oscillatio

    Fig. 12.: Plot o! the )*#erimental and /heoretical

    Phase "#ace

    &$&1 &$&: &$&: &$&? &$&? &$& &$& &$& &$&&$&1

    &$&1

    &$&:

    &$&:

    &$&?

    &$&?

    &$&

    &$&

    &$&

    &$&

    Phase #pace

    Readin !rom the "ensor /heoretical Position

    -elocity ,s

    Position ,

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    9eal Time Plot of Simple 0armonic Motion

    Fig. 13.: 0enerated -ure !rom the actual realtime #lottin$

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    Smoothed Data * means of Mo'ing A'erage

    Fig. 14.: "moothed data 5ith-ltered

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    Conclusion

    /he used o! 0izduino Microcontroller Atmea123 and "e+rouht a sim#le and #recise methods o! data ac4uisitionClassical /ime De#endent Physics )*#eriments$

    /he adantae on the use electronics and #roramminthe students on technical kno5lede and skills$

    8nitially the data ac4uired are #recise 5ith a lesser uncethe theoretical alues o! the #hysical 4uantity$

    /he use o! the microcontroller and sensors are Fe*i+le thit to +e a##lied and use at di.erent -elds o! a##lication$

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    :or1 in Progress

    8m#roisation o! Rotational Dis#lacement "ensor8m#roisation o! Photoate and Photo8nterru#ter

    Fig. 15."etu#

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    /hank Kou