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{"sheet":"Radian version","index":0,"n_rows":490,"n_cols":52,"rows_kept":490,"cut":false,"hidden":false,"merged":[[19,0,19,1],[20,0,20,1],[10,11,10,17],[1,11,1,17],[15,11,15,16],[11,11,11,16],[2,11,2,13],[6,11,6,13],[4,15,4,17],[27,2,27,7],[28,2,28,3],[28,4,28,5],[28,6,28,7],[27,8,27,13],[28,8,28,9],[28,10,28,11],[28,12,28,13]]}
[]
["Input Data",null,null,null,null,null,null,null,null,null,null,"Static scroll"]
["Pitch of scroll",15,"mm",null,null,null,null,null,null,null,null,"Inner involute profile"]
["Scroll Vane thickness",4,"mm",null,null,null,null,null,null,null,null,"x = r * Cos( t ) + ( t * r - T/2) * Sin( t )"]
["Number of Wraps",3.5,null,null,null,null,null,null,null,null,null,"y = r * Sin( t ) - ( t * r  - T/2) * Cos( t )",null,null,null,"Centre line of static wrap"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"x = r * Cos( t ) + ( r * t ) * Sin( t )"]
["Basic definition - do not change",null,null,null,null,null,null,null,null,null,null,"Outer involute profile",null,null,null,"y = r * Sin( t ) - ( r * t ) * Cos( t )",null,null,null,null,null,null,null,null,null,null,{"$f":"Y18-Y17","v":2700}]
["Rate of radius increase = P/2*pi",{"$f":"B3/(2*PI())","v":2.3873241463784303},"mm","r",null,null,null,null,null,null,null,"x = r * Cos( t ) + ( t * r  + T/2) * Sin( t )",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"360+180","v":540}]
["Scroll profile pitch",{"$f":"B3","v":15},"mm","P",null,null,null,null,null,null,null,"y = r * Sin( t ) - ( t * r  + T/2) * Cos( t )"]
["Scroll vane thickness",{"$f":"B4","v":4},"mm","T",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"1260-720","v":540}]
["Rotational radius = (P-2*T)/2",{"$f":"(B9-2*B10)/2","v":3.5},"mm","R",null,null,null,null,null,null,null,"Dynamic Scroll - rotated by 180 degrees (pi())"]
["t min",1,"Radians",null,null,null,null,null,null,null,null,"Inner involute profile"]
["t max = waraps * 2 * PI()",{"$f":"B5*2*PI()","v":21.991148575128552},"Radians",null,null,null,null,null,null,null,null,"x = r * Cos( pi() + t ) + ( t * r - T/2 ) * Sin( pi() + t ) + R * Sin( Rotation )"]
["Clearance between wraps",0.1,"mm",null,null,null,null,null,null,null,null,"y = r * Sin( pi() + t ) - ( t * r - T/2 ) * Cos( pi() + t ) + R * Cos( Rotation )"]
[]
["Number of rotations",2,null,null,null,null,null,null,null,null,null,"Outer involute pofile"]
["Degrees per step",5,null,null,null,null,null,null,null,null,null,"x = r * Cos( pi() + t ) + ( t * r  + T/2) * Sin( pi() + t ) + R * Sin( Rotation )",null,null,null,null,null,null,null,null,null,null,null,"Scroll angle",{"$f":"Q29","v":-1080},"deg",{"$f":"IF((Y17+360)>0, Y17+360-1080, Y17+360)","v":-720},{"$f":"IF((Y17+720)>0, Y17+720-1080, Y17+720)","v":-360}]
["Direction (-1 expand, 1 comp)",-1,null,null,null,null,null,null,null,null,null,"y = r * Sin( pi() + t ) - ( t * r  + T/2) * Cos( pi() + t ) + R * Cos( Rotation )",null,null,null,null,null,null,null,null,null,null,null,"Static t",{"$f":"540-Y17","v":1620},"deg",{"$f":"540-AA17","v":1260},{"$f":"540-AB17","v":900},null,{"$f":"Y22","v":21.991148575128552},{"$f":"$B$8*COS(AD18)+(($B$8*AD18)-($B$10/2)+($B$14/2))*SIN(AD18)","v":-2.3873241463783867},{"$f":"$B$8*SIN(AD18) - (($B$8*AD18)-($B$10/2)+($B$14/2))*COS(AD18)","v":50.55},null,{"$f":"Y25","v":18.849555921538759},{"$f":"$B$8*COS(PI()+AH18)+(($B$8*AH18)+($B$10/2)-($B$14/2))*SIN(PI()+AH18)+$B$11*SIN($R$29)","v":-2.3873241463783872},{"$f":"$B$8*SIN(PI()+AH18) - (($B$8*AH18)+($B$10/2)-($B$14/2))*COS(PI()+AH18)+$B$11*COS($R$29)","v":50.45},null,{"$f":"AA22","v":15.707963267948966},{"$f":"$B$8*COS(AL18)+(($B$8*AL18)-($B$10/2)+($B$14/2))*SIN(AL18)","v":-2.3873241463784085},{"$f":"$B$8*SIN(AL18) - (($B$8*AL18)-($B$10/2)+($B$14/2))*COS(AL18)","v":35.549999999999997},null,{"$f":"AA25","v":12.566370614359172},{"$f":"$B$8*COS(PI()+AP18)+(($B$8*AP18)+($B$10/2)-($B$14/2))*SIN(PI()+AP18)+$B$11*SIN($R$29)","v":-2.3873241463784081},{"$f":"$B$8*SIN(PI()+AP18) - (($B$8*AP18)+($B$10/2)-($B$14/2))*COS(PI()+AP18)+$B$11*COS($R$29)","v":35.450000000000003},null,{"$f":"AB22","v":9.4247779607693793},{"$f":"$B$8*COS(AT18)+(($B$8*AT18)-($B$10/2)+($B$14/2))*SIN(AT18)","v":-2.3873241463784227},{"$f":"$B$8*SIN(AT18) - (($B$8*AT18)-($B$10/2)+($B$14/2))*COS(AT18)","v":20.55},null,{"$f":"AB25","v":6.2831853071795862},{"$f":"$B$8*COS(PI()+AX18)+(($B$8*AX18)+($B$10/2)-($B$14/2))*SIN(PI()+AX18)+$B$11*SIN($R$29)","v":-2.3873241463784214},{"$f":"$B$8*SIN(PI()+AX18) - (($B$8*AX18)+($B$10/2)-($B$14/2))*COS(PI()+AX18)+$B$11*COS($R$29)","v":20.45}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Dynamic t",{"$f":"Y18-180","v":1440},"deg",{"$f":"AA18-180","v":1080},{"$f":"AB18-180","v":720},null,{"$f":"IF( AD18>=21.99115, 21.99115, AD18+0.0872664625997164)","v":22.07841503772827},-6.8021198995485186,50.357113541483152,null,{"$f":"IF( AH18>=18.84956, 18.84956, AH18+0.0872664625997164)","v":18.936822384138477},-6.4883592256569438,50.270812628352871,null,{"$f":"IF( AL18>=21.99115, 21.99115, AL18+0.0872664625997164)","v":15.795229730548682},-5.494783758333579,35.414193070106968,null,{"$f":"IF( AP18>=18.84956, 18.84956, AP18+0.0872664625997164)","v":12.653637076958889},-5.1810230844420095,35.327892156976695,null,{"$f":"IF( AT18>=21.99115, 21.99115, AT18+0.0872664625997164)","v":9.5120444233690957},-4.1874476171187229,20.471272598730792,null,{"$f":"IF( AX18>=18.84956, 18.84956, AX18+0.0872664625997164)","v":6.3704517697793026},-3.8736869432271521,20.384971685600508]
["Graph parameters may need changing if",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF( AD19>=21.99115, 21.99115, AD19+0.0872664625997164)","v":21.991150000000001},-2.3873961736325713,50.549999999948682,null,{"$f":"IF( AH19>=18.84956, 18.84956, AH19+0.0872664625997164)","v":18.84956},-2.3875156301535361,50.449999999609524,null,{"$f":"IF( AL19>=21.99115, 21.99115, AL19+0.0872664625997164)","v":15.882496193148398},-8.5966014517272953,35.005697695820224,null,{"$f":"IF( AP19>=18.84956, 18.84956, AP19+0.0872664625997164)","v":12.740903539558605},-7.9714680121263486,34.960389784976272,null,{"$f":"IF( AT19>=21.99115, 21.99115, AT19+0.0872664625997164)","v":9.5993108859688121},-5.9918787867233583,20.233581400637092,null,{"$f":"IF( AX19>=18.84956, 18.84956, AX19+0.0872664625997164)","v":6.457718232379019},-5.366745347122408,20.18827348979314]
["you change the number of wraps",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y18*2*PI()/360","v":28.274333882308134},null,{"$f":"AA18*2*PI()/360","v":21.991148575128552},{"$f":"AB18*2*PI()/360","v":15.707963267948966},null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,15.969762655748115,-11.668757005294086,34.3244818100912,null,12.828170002158322,-10.737008442925013,34.347148835450554,null,9.6865773485685285,-7.7864713287562939,19.835594415755171,null,6.5449846949787354,-6.8547227663872183,19.858261441114522]
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["www.redford-tech.co.uk",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.144295580947549,-17.627957024905179,32.15438565969535,null,13.002702927357754,-16.106531282638656,32.391677626363425,null,9.8611102737679612,-11.28868309879465,18.559768854145631,null,6.7195176201781681,-9.7672573565281304,18.797060820813687]
["simon@redford-tech.co.uk",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"Y19*2*PI()/360","v":25.132741228718345},null,{"$f":"AA19*2*PI()/360","v":18.849555921538759},{"$f":"AB19*2*PI()/360","v":12.566370614359172},null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.231562043547267,-20.467483357831796,30.676072786078084,null,13.089969389957471,-18.667483357831685,31.058381332454172,null,9.9483767363676776,-12.967483357831703,17.685691729311561,null,6.8067840827778845,-11.167483357831705,18.068000275687581]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"(Y19-360)*2*PI()/360","v":18.849555921538759},null,{"$f":"(AA19-360)*2*PI()/360","v":12.566370614359172},{"$f":"(AB19-360)*2*PI()/360","v":6.2831853071795862},null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.318828506146986,-23.18268940351145,28.946139029433812,null,13.177235852557187,-21.117814232647479,29.49719166999359,null,10.035643198967394,-14.579042858245618,16.658858365099036,null,6.8940505453776009,-12.514167687381851,17.209911005658661]
[null,"Circle radius",25,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.406094968746704,-25.751208603424487,26.975078309813615,null,13.264502315156903,-23.43717320855275,27.717318314585466,null,10.12290966156711,-16.109394458126218,15.4844116630291,null,6.9813170079773172,-13.795359063254676,16.226651667800773]
["Copyright © Redford-Tech Limited, 2018 - 2023",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.493361431346422,-28.151564378701309,24.775378193111777,null,13.35176877775662,-25.605979966429548,25.729793780840392,null,10.210176124166827,-17.544962660902883,14.168776475313777,null,7.0685834705770336,-14.999378248631313,15.123192063042202]
[null,null,"Static scroll",null,null,null,null,null,"Dynamic scroll",null,null,null,null,null,null,null,"Deg","Radians","Radius",null,null,null,null,null,null,null,null,null,null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.58062789394614,-30.36334825764197,22.361443981612879,null,13.439035240356336,-27.605588262413406,23.54740858674165,null,10.297442586766543,-18.872681610857065,12.719629836315079,null,7.15584993317675,-16.114921615628745,13.905594441443533]
[null,"Radians","Outer Involute",null,"Inner Involute",null,"Wrap centre",null,"Outer Involute",null,"Inner Involute",null,"Wrap centre",null,null,"Rotation",-1080,{"$f":"Q29*PI()/180","v":-18.849555921538759},{"$f":"B11","v":3.5},null,null,null,null,null,null,null,null,null,null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.667894356545858,-32.367391485597366,19.749506857364139,null,13.526301702956053,-29.418444126156707,21.184631686500808,null,10.384709049366259,-20.080110821262245,11.145860312098808,null,7.2431163957764664,-17.131163461821874,12.580985141235038]
[null,"t","x","y","x","y","x","y","x","y","x","y","x","y",null,null,null,null,null,null,null,null,null,0,{"$f":"$C$26*SIN(X30*PI()/180)","v":0},{"$f":"$C$26*COS(X30*PI()/180)","v":25},{"$f":"$C$26*SIN(X30*PI()/180)+$B$11*SIN($R$29)","v":2.572811755308102E-15},{"$f":"$C$26*COS(X30*PI()/180)+$B$11*COS($R$29)","v":28.5},null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.755160819145576,-34.145928687187343,16.957516642167874,null,13.613568165555769,-31.028237233563097,18.657516642168336,null,10.471975511965976,-21.155547630420511,9.4575166421683114,null,7.3303828583761828,-18.037856176796527,11.157516642168307]
[null,0,{"$f":"$B$8*COS(B31)+(($B$8*B31)+($B$10/2) - ($B$14/2))*SIN(B31)","v":2.3873241463784303},{"$f":"$B$8*SIN(B31) - (B31*$B$8 + ($B$10/2) - ($B$14/2)) * COS(B31)","v":-1.95},null,null,null,null,{"$f":"$B$8*COS(PI()+B31)+(($B$8*B31)+($B$10/2)-($B$14/2))*SIN(PI()+B31)+$B$11*SIN($R$29)","v":-2.3873241463784272},{"$f":"$B$8*SIN(PI()+B31) - (($B$8*B31)+($B$10/2)-($B$14/2))*COS(PI()+B31)+$B$11*COS($R$29)","v":5.45},null,null,null,null,null,null,null,null,null,-2.3873241463784312,5.74,null,null,5,2.1788935686914543,24.90486745229364,2.178893568691457,28.40486745229364,null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.842427281745294,-35.682752199998113,14.005019866385714,null,13.700834628155485,-32.420044166665946,15.983594124119689,null,10.559241974565692,-22.088135394448123,7.6657459402757446,null,7.4176493209758991,-18.82542736111618,9.6443201980092201]
[null,{"$f":"B33-0.0872664625997164","v":4.0068911403119772E-2},2.4673532939923613,-1.9483836446673533,null,null,null,null,-2.4673532939923586,5.448383644667353,null,null,null,null,null,"Offset 1",270,"deg",null,-2.0387011753877955,5.7247787923669815,null,null,10,4.3412044416732583,24.620193825305201,4.3412044416732609,28.120193825305201,null,21.991150000000001,-2.3873961736325713,50.549999999948682,null,18.84956,-2.3875156301535361,50.449999999609524,null,16.929693744345013,-36.963355759607332,10.913023962817659,null,13.788101090755202,-33.580462324777827,13.18175144684589,null,10.646508437165409,-22.867966447818485,5.7827218129332376,null,7.5049157835756155,-19.485073012989211,8.0514492969608256]
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