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"s"" 0(     p@c0e0e?Title 1j  1ZF>___PPT9  )Acceleration, Power Input, Kinetic Energy *))  s >@%iTextBox 8@ NF>___PPT9  )Write the formula for acceleration (sum of forces / mass) (2.2) Write the formula for power (Net force times velocity) (2.6) Write the formula for kinetic energy (Recall from physics) (2.9) $$  3380___PPT10./@b " "   @ (     pf0e0e?Title 1Pj  1ZF>___PPT9  ;Fig. 2.3 (a) Pivoted lever (b) Holding torque for the lever<;;x I  C *Group 53"r v   FA!??Picture 54I   \A a??Object 55p @  a  \A" b??Object 56p  b  \A# c??Object 57 7 (  c  \A$ d??Object 58   dx 4 t  C *Group 62"c_` P v  FA??Picture 604 t   \A [??Object 281  c [  \A \??Object 30@_ \   \A ]??Object 31@` ]   \A ^??Object 32O ^   \A _??Object 33y  _   \A `??Object 61P `E  s @)iTextBox 16 NF>___PPT9  Torque = force x radius  3380___PPT10.0"M" (  m   p@0e0e?Title 1Pj  1ZF>___PPT9  [Ex. 2.1   0e0e?,Content Placeholder 2j 1ZF>___PPT9  XM = 0.5 kg r = 0.3 m Calculate holding torque as a function of beta How do we work this?YXX 3380___PPT10.50"" w _(   m   p0e0e?Title 1`pj  1ZF>___PPT9  [Ex. 2.1   0e0e?,Content Placeholder 2pP Pj 1ZF>___PPT9  ~*torque = force x radius force perp. to radius force = Mg perp. component = Mg cos (beta) torque = 0.5 kg 9.8 m/s^2 * 0.3 m cos(beta) = 1.47 Nm In a motor, the force is produced electromagnetically and is tangent to the cylindrical rotor. The rotor radius converts this force to torque on the shaft.+** 3380___PPT10.6`P<""  P $(  $ $  p0e0e?Title 1Pj  1ZF>___PPT9  /Fig. 2.4 Motor torque acting on an inertia load0//b| 1 $C .Group 2067"`  z $ JA%??Picture 20531 $ `A& e??Object 2053   e $ `A' f??Object 2054P /  f $ `A( g??Object 2055pg g  $ `A) h??Object 2056  h  $ `A* i??Object 2057[@ i $ s @`TextBox 17 ]NF>___PPT9  the inertia of a cylinder = * M * r1^2 (2.20) M = cylinder mass r1 = cylinder radius TL = load torque, other than due to inertia  3380___PPT10.6"" ((  (u (  p0e0e?Title 1Pj  1ZF>___PPT9  cAn inertia Load0 (   0e0e?,Content Placeholder 2j 1ZF>___PPT9  Mostly inertia Mostly friction (a grinder) Mostly mechanical torque in steady state (a belt lifting gravel) All systems have some of both (an inertia plus other torque) 3380___PPT10.סn7"" E=,%(  ,} ,  p0e0e?Title 1Pj  1ZF>___PPT9  kInertia of a 14 in diskh ,  `0e0e?,Content Placeholder 2 1Z^V___PPT980 14.5 oz /(16 oz/lb) / (2.2 lb / kg) = .412 kg d1 = 14 in * (.0254 m / in) = .356 m r1 = .356 / 2 = .178 m J = * M * r1^2 = *.412 * (.178)^2 = 0.0065 kg m^20/p (/p 3380___PPT10.BT "" `0(  0 0  p0e0e?Title 1Pj  1ZF>___PPT9  8Angular acceleration = torque / moment of inertia (2.23)988~ 0 BA+ j?Object 3P p j~ 0 BA, k?Object 4  k 33___PPT10i.;`T+D=' = @B +"" p4(  4 4  p 0e0e?Title 1`0j  1ZF>___PPT9  +Fig. 2.6 Motor and load with rigid coupling,++x @  4C *Group 44"pv 4 FA6??Picture 15@  4 \A7 y??Object 16] y 4 \A8 z??Object 17^s z 4 \A. {??Object 18k ; = { 4 \A' |??Object 19W  |x  @ 4C *Group 43" /  v 4 FA-??Picture 37 @ 4 \A' m??Object 25 _W m  4 \A( n??Object 26T n  4 \A. o??Object 27S o  4 \A/ p??Object 28/ p  4 \A# q??Object 29H q  4 \A0 r??Object 30tW r 4 \A1 s??Object 31 s 4 \A2 t??Object 32@? t 4 \A3 u??Object 33E u 4 \A4 v??Object 34A v 4 \A5 w??Object 36 w 4 \A4 x??Object 39 x 4 \A( l??Object 208 q l 4 s @`TextBox 67 NF>___PPT9  fBlock diagram of acceleration equation. Two integrators to go to angular velocity and angular positiongff  33___PPT10i.<{;+D=' = @B +"#" *"8 (  8m 8  p0e0e?Title 1j  1ZF>___PPT9  [Ex. 2.3] 8  0e0e?,Content Placeholder 2j 1ZF>___PPT9  )TL negligible, each cylinder has same inertia J of one cylinder = .029 kg m^2 speed goes from 0 to 1800 rpm in 5 s Calculate the required electromagnetic torque. How do we work this? 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"A'R$yQH1`t48 %dؤP܈PqEfg-=;ur&tr\,s~r`pLbNOHQR4TU WX \_cGgjn1s4vdyg|ͅЈ PVejo}ͭ'KϺ_.gjkly-U+9 )p AF* `@/492CaH#WWOh+'0 X`  EE130 Electromechanics 2013Mary Jean Wagner wagneretal48Microsoft Office PowerPoint@po@V@7ء՜.+,0t     On-screen Show (4:3) 뿿��@ TimesArialCalibriBlank PresentationMathType Equation EquationEE130 Electromechanics 2013GFig. 2.1 Electric Drive System (ASD) Example of load-speed requirementFig. 2.2 (Linear) motion of M*Acceleration, Power Input, Kinetic Energy<Fig. 2.3 (a) Pivoted lever (b) Holding torque for the leverEx. 2.1Ex. 2.10Fig. 2.4 Motor torque acting on an inertia loadAn inertia LoadInertia of a 14 in disk9Angular acceleration = torque / moment of inertia (2.23),Fig. 2.6 Motor and load with rigid couplingEx. 2.3Ex. 2.33Fig. 2.13 Combination of rotary and linear motion Rotary and Linear Motion%Homework Chapter 2, Due next Tuesday  Fonts UsedThemeEmbedded OLE Servers Slide Titles"_ wagneretalwagneretal  !"#$%&'()*+,-./0123456789:;<=>@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKMNOPQRSUVWXYZ[]^_`abchRoot EntrydO)Pictures}Current User\SummaryInformation(LPowerPoint Document(?DocumentSummaryInformation8T