3. Calculate the weight of the dry ingredients<\/strong><\/p>\nLets do some calculation using Scilab:<\/p>\n
\r\nclear all;\r\nclear;\r\nclc;\r\n\r\n\/\/\/\/ Reverse engineered chocolate-coconut Cacke\r\n\r\n\/\/ Igredient Segments from top to bottom\r\n\r\n\/\/ Segment 1: Peanuts\r\n\/\/ Segment 2: Coconut rasps\r\n\/\/ Segment 3: Brown sugar\r\n\/\/ Segment 4: Cacao\r\n\/\/ Segment 5: Flour\r\n\/\/ Segment 6: Sugar\r\n\/\/ Segment 6: Vanilla sugar\r\n\/\/ Segment 6: Soda\r\n\/\/ Segment 6: Cinamon\r\n\/\/ Segment 6: Salt\r\n\r\n\/\/ Predefinitions\r\n\r\n\/\/ Dimensions in [m]\r\nh_tot = 0.1 \/\/ Total fill height\r\nh_1 = h_tot - 0.09 \/\/ Peanut segment height\r\nh_1_off = h_tot - h_1 \/\/ Peanut offset from bottom\r\nh_2 = h_tot - h_1 - 0.078 \/\/ Coconut segment height\r\nh_2_off = h_tot - h_1 - h_2 \/\/ Coconut offset from bottom\r\nh_3 = h_tot - h_1 - h_2 - 0.065 \/\/ Brown sugar segment height\r\nh_3_off = h_tot - h_1 - h_2 - h_3 \/\/ Brown sugar offset from bottom\r\nh_4 = h_tot - h_1 - h_2 - h_3 - 0.055 \/\/ Cacao segment height\r\nh_4_off = h_tot - h_1 - h_2 - h_3 - h_4 \/\/ Cacao offset from bottom\r\nh_5 = h_tot - h_1 - h_2 - h_3 - h_4 - 0.025 \/\/ Flour segment height\r\nh_5_off = h_tot - h_1 - h_2 - h_3 - h_4 - h_5 \/\/ Flour offset from bottom\r\nh_6 = h_tot - h_1 - h_2 - h_3 - h_4 - h_5 - 0.008 \/\/ Rest of the ingredients height\r\nh_6_off = 0.008 \/\/ Offset of the rest from bottom\r\n\r\nr_1 = 0.072; \/\/ Small radius of the container\r\nr_2 = 0.094; \/\/ Big radius of the container\r\n\r\n\/\/ Density in [kg\/m^3]\r\n\/\/ some evaluated, some from here: http:\/\/www.mollet.de\/info\/schuettgutdichte.html\r\n\/\/ [kg]\/([0.001 m^3\/l]*[l]) = [kg]\/[m^3]\r\nroh_1 = 0.500\/(0.001*1.000); \/\/ Density of peanuts\r\nroh_2 = 0.152\/(0.001*0.440); \/\/ Density of coconut\r\nroh_3 = 0.176\/(0.001*0.170); \/\/ Density of brown suger\r\nroh_4 = 0.047\/(0.001*0.100); \/\/ Density of cacao\r\nroh_5 = 0.220\/(0.001*0.325); \/\/ Density of flour\r\nroh_6 = 0.259\/(0.001*0.250); \/\/ Density of the rest...mainly sugar\r\n\r\n\/\/ angle of the jars side walls\r\nalpha = atan((r_2-r_1)\/(2*h_tot));\r\n\r\n\/\/ Calculate mean segment area, using the segment offset and segment height\r\nfunction y=A_segment(h_offset, h_segment)\r\n h_mean = h_segment\/2+h_offset;\r\n dia_mean = r_1+2*tan(alpha)*h_mean;\r\n y = dia_mean^2\/4*%pi;\r\nendfunction\r\n\r\n\/\/ Calculate volume, using mean area and height\r\nfunction y=V_segment(A_seg, h_segment)\r\n y = A_seg * h_segment;\r\nendfunction\r\n\r\n\/\/ Calculate the weight, using density and volume\r\nfunction y=Weight(V_segment, density)\r\n y = V_segment * density;\r\nendfunction\r\n\r\n\/\/ Weight calculation\r\nw_1 = Weight(V_segment(A_segment(h_1_off, h_1), h_1), roh_1)\r\nw_2 = Weight(V_segment(A_segment(h_2_off, h_2), h_2), roh_2)\r\nw_3 = Weight(V_segment(A_segment(h_3_off, h_3), h_3), roh_3)\r\nw_4 = Weight(V_segment(A_segment(h_4_off, h_4), h_4), roh_4)\r\nw_5 = Weight(V_segment(A_segment(h_5_off, h_5), h_5), roh_5)\r\nw_6 = Weight(V_segment(A_segment(h_6_off, h_6), h_6), roh_6)\r\n\r\ndisp(w_1, "Peanuts: ")\r\ndisp(w_2, "Coconut rasps: ")\r\ndisp(w_3, "Brown sugar: ")\r\ndisp(w_4, "Cacao: ")\r\ndisp(w_5, "Flour: ")\r\ndisp(w_6, "Sugar...and the rest: ")\r\ndisp(w_1 + w_2 + w_3 + w_4 + w_5 + w_6, "Total weight: ")\r\n<\/pre>\nAnd the output is (values in kg):<\/p>\n
\r\nPeanuts:\r\n 0.0338915\r\nCoconut rasps:\r\n 0.0266543\r\nBrown sugar:\r\n 0.0813567\r\nCacao:\r\n 0.0267958\r\nFlour:\r\n 0.1041294\r\nSugar...and the rest:\r\n 0.0791201\r\nTotal weight:\r\n 0.3519478\r\n<\/pre>\n<\/pre>\nSurprisingly, the calculated weight of about 0.352 kg is pretty close to the one, indicated on the label.<\/p>\n
Just add 2 eggs and 120 g butter. The <<rest>> would be about 1 tea-spoon of baking soda, a knife tip of cinnamon and a pinch of salt.<\/p>\n","protected":false},"excerpt":{"rendered":"
Some time ago I got a mixture for a chocolate-coconut cake. So, my thought: How to bake it again if the cake is deliciouse? Of course, by reverse engineering the mixture! The ingredients reading as following: 1. Using the lable to identify the different segments: From top to down: Peanuts, coconut rasps, brown sugar, cacao, […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[10,14,15],"class_list":["post-532","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-absurdity","tag-baking","tag-reverse-engineering"],"_links":{"self":[{"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/posts\/532","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/comments?post=532"}],"version-history":[{"count":16,"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/posts\/532\/revisions"}],"predecessor-version":[{"id":553,"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/posts\/532\/revisions\/553"}],"wp:attachment":[{"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/media?parent=532"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/categories?post=532"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.launet.ch\/blog\/wp-json\/wp\/v2\/tags?post=532"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
![\"Ingredient](\"http:\/\/www.launet.ch\/blog\/wp-content\/uploads\/2016\/09\/cake1b.jpg\")
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