{"id":1208,"date":"2016-09-28T20:42:40","date_gmt":"2016-09-28T20:42:40","guid":{"rendered":"http:\/\/wordpress.rose-hulman.edu\/rickert\/?page_id=1208"},"modified":"2016-10-20T19:13:30","modified_gmt":"2016-10-20T19:13:30","slug":"ma331-wind-tunnel-notes","status":"publish","type":"page","link":"https:\/\/wordpress.rose-hulman.edu\/rickert\/ma331-wind-tunnel-notes\/","title":{"rendered":"MA331 Wind Tunnel Notes"},"content":{"rendered":"<p>When the wind tunnel reading is E microvolts, the corresponding drag force, in pounds, is <span style=\"font-size: small\">D = 0.089*E + .0052<\/span>.<\/p>\n<p>The Drag force is given by <span style=\"font-size: small\">F = 1\/2*rho*v<sup>2<\/sup>*pi*R<sup>2<\/sup>*CD<\/span>, where rho =.002377 slugs\/ft<sup><span style=\"font-size: small\">3<\/span><\/sup>, v is the velocity in ft\/s, R is trhe radius of a baseball = 3\/(8pi) ft, CD is the drag coefficient.<br \/>\nThe conversion from miles per hour to feet per second is (<i>fps<\/i>)= (22\/15)*(<i>mph<\/i>). Thus, 15 miles per hour is equal to 22 feet per second.<\/p>\n<p>We may also solve this equation for the drag coefficient, <span style=\"font-size: xx-small\">CD = 2F\/(rho*v<sup><span style=\"font-size: medium\">2<\/span><\/sup>*pi*R<sup><span style=\"font-size: medium\">2<\/span><\/sup>)<\/span>.<br \/>\nEach sample took 400 readings.<\/p>\n<hr \/>\n<p>If you have any questions, please <a href=\"mailto:john.rickert@rose-hulman.edu\"><u><span style=\"color: #000080\">e-mail me<\/span><\/u><\/a>.<\/p>\n<hr \/>\n<p>The temperature started at 21 degrees C and ended at 22.3 degrees C. The barometric pressure was 1027 mbar (30.37 inHg).<\/p>\n<p>First, the readings without the baseball<\/p>\n<table>\n<tbody>\n<tr>\n<td>Velocity(mph)<\/td>\n<td>Drag(microvolts)<\/td>\n<td>St.Dev.(microvolts)<\/td>\n<\/tr>\n<tr>\n<td>0<\/td>\n<td>1.337235<\/td>\n<td>0.6140914<\/td>\n<\/tr>\n<tr>\n<td>62<\/td>\n<td>21.61153<\/td>\n<td>19.03719<\/td>\n<\/tr>\n<tr>\n<td>93<\/td>\n<td>50.44101<\/td>\n<td>19.82567<\/td>\n<\/tr>\n<tr>\n<td>103.5<\/td>\n<td>63.06803<\/td>\n<td>21.64098<\/td>\n<\/tr>\n<tr>\n<td>121<\/td>\n<td>87.23601<\/td>\n<td>21.81997<\/td>\n<\/tr>\n<tr>\n<td>139<\/td>\n<td>113.2876<\/td>\n<td>21.09844<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Next, the readings with the baseball attached<\/p>\n<table>\n<tbody>\n<tr>\n<td>Velocity(mph)<\/td>\n<td>Drag(microvolts)<\/td>\n<td>St.Dev.(microvolts)<\/td>\n<\/tr>\n<tr>\n<td>0<\/td>\n<td>1.891542<\/td>\n<td>0.5853375<\/td>\n<\/tr>\n<tr>\n<td>61<\/td>\n<td>44.81271<\/td>\n<td>22.52351<\/td>\n<\/tr>\n<tr>\n<td>84.5<\/td>\n<td>80.44364<\/td>\n<td>25.50062<\/td>\n<\/tr>\n<tr>\n<td>93<\/td>\n<td>100.3694<\/td>\n<td>30.94699<\/td>\n<\/tr>\n<tr>\n<td>100<\/td>\n<td>114.9753<\/td>\n<td>29.59025<\/td>\n<\/tr>\n<tr>\n<td>113.5<\/td>\n<td>147.6635<\/td>\n<td>29.87023<\/td>\n<\/tr>\n<tr>\n<td>121<\/td>\n<td>168.5192<\/td>\n<td>34.53888<\/td>\n<\/tr>\n<tr>\n<td>131<\/td>\n<td>194.4014<\/td>\n<td>38.32475<\/td>\n<\/tr>\n<tr>\n<td>141<\/td>\n<td>219.9257<\/td>\n<td>37.55017<\/td>\n<\/tr>\n<tr>\n<td>159<\/td>\n<td>253.6635<\/td>\n<td>42.16171<\/td>\n<\/tr>\n<tr>\n<td>0<\/td>\n<td>-8.043830<\/td>\n<td>3.447944<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p>Go to<\/p>\n<ul>\n<li>The <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/ma331-mathematical-modeling-the-mathematics-and-physics-of-baseball\/\" target=\"_blank\"><u><span style=\"color: #000080\">MA331 page<\/span><\/u><\/a><\/li>\n<li>the <a href=\"http:\/\/www.rose-hulman.edu\/academics\/academic-departments\/mathematics.aspx\" target=\"_blank\"><u><span style=\"color: #000080\">Mathematics Department Home Page. <\/span><\/u><\/a><\/li>\n<li>my <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/jhrs-class-pages-list\/\" target=\"_blank\"><u><span style=\"color: #000080\">classes page<\/span><\/u><\/a><\/li>\n<li>my <a href=\"http:\/\/wordpress.rose-hulman.edu\/rickert\/\" target=\"_blank\"><u><span style=\"color: #000080\">home page<\/span><\/u><\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p class=\"excerpt\">When the wind tunnel reading is E microvolts, the corresponding drag force, in pounds, is D = 0.089*E + .0052. The Drag force is given by F = 1\/2*rho*v2*pi*R2*CD, where rho =.002377 slugs\/ft3, v is the velocity in ft\/s, R is trhe radius of a baseball = 3\/(8pi) ft, CD is the drag coefficient. The conversion from miles per hour&hellip;<\/p>\n<p class=\"more-link-p\"><a class=\"btn btn-default\" href=\"https:\/\/wordpress.rose-hulman.edu\/rickert\/ma331-wind-tunnel-notes\/\">Read more<\/a><\/p>\n","protected":false},"author":812,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1208","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/1208","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/users\/812"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/comments?post=1208"}],"version-history":[{"count":2,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/1208\/revisions"}],"predecessor-version":[{"id":1224,"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/pages\/1208\/revisions\/1224"}],"wp:attachment":[{"href":"https:\/\/wordpress.rose-hulman.edu\/rickert\/wp-json\/wp\/v2\/media?parent=1208"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}