{"text_format":"1","workbook":"xlsx","n_sheets":1,"sheets":["Sheet1"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Sheet1","index":0,"n_rows":70,"n_cols":16,"rows_kept":70,"cut":false,"hidden":false,"merged":[[2,0,3,10],[7,22,12,22],[7,23,8,23],[9,23,10,23],[11,23,12,23],[18,23,18,26],[19,9,20,9],[19,23,22,23],[25,8,30,8],[25,9,26,9],[27,9,28,9],[29,9,30,9],[15,8,20,8],[15,9,16,9],[16,22,22,22],[16,23,17,23],[17,9,18,9],[55,8,60,8],[55,9,56,9],[57,9,58,9],[59,9,60,9],[35,8,40,8],[35,9,36,9],[37,9,38,9],[39,9,40,9],[45,8,51,8],[45,9,46,9],[47,9,49,9],[50,9,51,9]]}
["HOME",null,null,null,null,null,null,null,null,null,null,null,null,"Variables","Description","Units"]
["System Model",null,null,null,null,null,null,null,null,null,null,null,null,"Fc","Human Force","N"]
["Use Functional Block Diagram on FA worksheet to build math model of concept(s). Put multiple concept models on this worksheet of create copies of sheet for each concept modeled.",null,null,null,null,null,null,null,null,null,null,null,null,"Vc","Velocity of Human input","m/s"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Ml","Mass of Lid","kg"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Mcup","Mass of Cup","kg"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"PE","Potential Energy","N"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Fr","Flow Rate","kg * m/s^2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"G","Gear Ratio"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"R","Radius of Rollers","m"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"F","Force Rollers","N"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Ti","Torque Initial","Nm"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"g","Gravity","m/s^2"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"To","Torque Final","Nm"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Conversions: (Open Equations)"]
[null,null,null,null,null,null,null,null,"Open Lid","Input","Fc",{"$f":"0.5*L18*(L17 ^ 2)","v":5},"N","Fc = 1/2 * m * v^2"]
[null,null,null,null,null,null,null,null,null,null,"Vc",2,"m/s","Vc = meters traveled per s"]
[null,null,null,null,null,null,null,null,null,"Control","Ml",2.5,"kg"]
[null,null,null,null,null,null,null,null,null,null,"DL",0.2,"m"]
[null,null,null,null,null,null,null,null,null,"Output"]
[null,null,null,null,null,null,null,null,null,null,"PE",{"$f":"L18*9.81*L19","v":4.9050000000000011},"N","PE = m * g * DL"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Conversions: (Loading Equations)"]
[null,null,null,null,null,null,null,null,"Load Maize Kernels","Input","Fc",{"$f":"0.5*L28*(L27^2)","v":1.0294287500000001},"N","Fc = 1/2 * m * v^2"]
[null,null,null,null,null,null,null,null,null,null,"vc",3.43,"m/s"]
[null,null,null,null,null,null,null,null,null,"Control","Mcup",0.17499999999999999,"kg"]
[]
[null,null,null,null,null,null,null,null,null,"Output","Displacement",0.6,"m"]
[null,null,null,null,null,null,null,null,null,null,"PE",{"$f":"L28*L30*9.81","v":1.0300499999999999},"N","PE = m * g * DL"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Conversions: (Flow Equations)"]
[null,null,null,null,null,null,null,null,"Flow Kernels to Rollers","Input","Kernels",0.17499999999999999,"kg"]
[]
[null,null,null,null,null,null,null,null,null,"Control","Area of slot",2.8999999999999998E-3,"m^2","A = l x w"]
[null,null,null,null,null,null,null,null,null,null,"Gravity",9.81,"m/s^2"]
[null,null,null,null,null,null,null,null,null,"Output","Fr",5.7999999999999996E-3,"kg/s","Fr = .175kg / 30s"]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Conversions: (Grind Equations)"]
[null,null,null,null,null,null,null,null,"Grind Kernels","Input","Fr",5.7999999999999996E-3,"kg/s","Fr = .175kg / 30s"]
[null,null,null,null,null,null,null,null,null,null,"Fc",75,"N"]
[null,null,null,null,null,null,null,null,null,"Control","R",2.5399999999999999E-2,"m"]
[null,null,null,null,null,null,null,null,null,null,"Ti",{"$f":"0.25*L47","v":18.75},"Nm","Ti= Rcrank * Fc "]
[null,null,null,null,null,null,null,null,null,null,"G",{"$f":"17/14","v":1.2142857142857142},null,"G = Large gear teeth / small gear teeth"]
[null,null,null,null,null,null,null,null,null,"Output","To",{"$f":"L49*L50","v":22.767857142857142},"Nm","To = Ti * G"]
[null,null,null,null,null,null,null,null,null,null,"F",{"$f":"L51/L48","v":896.37232845894266},"N","F = To / R"]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Conversions: (Flow Bin Equations)"]
[null,null,null,null,null,null,null,null,"Flow Meal to Bin","Input","Ground Kernels",0.17499999999999999,"kg","Flow rate depends on size"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"of ground kernels"]
[null,null,null,null,null,null,null,null,null,"Control","Gravity",9.81,"m/s^2"]
[null,null,null,null,null,null,null,null,null,null,"Sieve opening",1E-3,"m"]
[null,null,null,null,null,null,null,null,null,"Output","Fine Kernels",0.17,"kg"]
[]
[]
[]
[]
[]
[]
[null,null,"Sources:"]
[null,null,"http://www.cookitsimply.com/measurements/cups/sweet-corn-fresh-0070-09m0.html"]
[null,null,"grc.nasa.gov/www/k-12/VirtualAero/BottleRocket/airplane/mchkdrv.html"]
[null,null,"discoverhover.org/infoinstructors/guide10.htm"]