6 1 Circular Motion

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    Round and Round

    6-1 Circular Motion

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    If this is true, why does ANYTHING

    o!e in a circle"

    t

    dv

    = CIRCUMFERENCE

    C = 2r = d

    PERIOD (T)

    Time for one revolution

    T

    r

    vc

    2

    =

    #$%ects tra!elin& in circular otionha!e constant s'eed and constantly

    CHN!IN!!elocity ( chan&in& indirection $ut not a&nitude

    )nifor Circular Motion

    How do we de*ne "E#OCIT$"

    +elocity is TN!ENTto thecircle at all 'oints

    hat t. are we tal/in& a$

    hat d. are we tal/in& a$

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    Inertia causes o$%ects to tra!el%TRI!HT

    0aths can $e $ent $y FORCE%

    CENTRIPET# FORCE$ends an

    o$%ect.s 'ath into a circle - 'ullin&toward the CENTER

    Centri'etal orce

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    Misconce'tion

    oors to the 2Gra!itron3 close and it starts to

    re 'ushed a&ainst the outside ed&e of the rid

    ed there, You ust $e e5'eriencin& 2centrif

    ce3 throwin& you outward fro the ride Ri&

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    hat is really ha''enin&"As the Gra!itron starts to s'in, friction $etween

    your $ody and the ride start you o!in&

    #nce you are o!in&,your $ody wantsto &o 7TRAIGHT

    8 $ut you can.t8

    The wall /ee's 'ushin& you $ac/ in towardthe centre of the ride

    !

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    centrifu&al 92centre :eein&3; force A *ctitious. or inertial. force that is

    e5'erienced fro IN%IDEa circularotion syste ( &HT $OU FEE#

    centri'etal 9centre see/in&; force

    A true force that 'ushes or 'ulls ano$%ect toward the centre of a circular

    'ath ( &HT CTU##$ HPPEN%

    hat is the sensation thatyou feel"

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    r

    vac

    2

    =

    Centri'etal Acceleration

    Centri'etal force is aNET FORCE

    CausesCCE#ERTION

    In the %ME DIRECTION % NETFORCE

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    hat is the centri'etal accelerationof a toy $all on the end of a 14

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    r

    vac

    2

    =

    Centri'etal orce

    m

    Fa net

    = maFnet =

    cc maF =

    r

    mv

    Fc

    2

    =

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    hat is the centri'etal force actin&on a =@@@ /ilo&ra air'lane if it turnswith a radius of 1@@@ etres whileo!in& at @@ eters 'er second"

    ac> !=?r

    ac> 9@@?s;=?1@@@

    ac> D@ ?s=

    5a'le B=

    c> ac

    c> 9=@@@ /&;9D@?s=;

    c> 14E 5 1@FN

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    Is it 'ossi$le for a 1@@@ /ilo&ra car toa/e a turn with a radius of F@ etreswhile o!in& at 1F etres 'er secondwith ru$$er tires on dry as'halt"

    c> !=?r

    c> 91@@@ /&;91F ?s;=?

    F@

    c>

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    nd of 641