{"id":3477,"date":"2009-11-18T08:04:24","date_gmt":"2009-11-18T00:04:24","guid":{"rendered":"http:\/\/www.intmath.com\/blog\/?p=3477"},"modified":"2017-04-15T17:12:00","modified_gmt":"2017-04-15T09:12:00","slug":"calculating-takeoff-speeds","status":"publish","type":"post","link":"https:\/\/www.intmath.com\/blog\/mathematics\/calculating-takeoff-speeds-3477","title":{"rendered":"Calculating takeoff speeds"},"content":{"rendered":"<div class=\"imgRt\" style=\"width:200px;\"><img loading=\"lazy\" src=\"\/blog\/wp-content\/images\/2009\/11\/takeoff.jpg\" alt=\"takeoff\" title=\"takeoff\" width=\"200\" height=\"192\"  \/><\/div>\n<p>You are the pilot of a jet roaring down the runway approaching takeoff speed. Suddenly an emergency buzzer goes off, indicating a critical loss of oil pressure in one of the engines.<\/p>\n<p>Do you keep accelerating, or do you try to stop the aircraft and stay on the ground?<\/p>\n<p>Before a pilot begins the takeoff run, (s)he needs to know some important decision speeds. These include:<\/p>\n<ul>\n<li>V<sub>R<\/sub> - <b>rotation speed<\/b>, or the speed where the pilot pulls back on the control yoke and the front wheel leaves the ground<\/li>\n<li>V<sub>1<\/sub> - <b>takeoff decision speed<\/b>, or the speed where the pilot is committed to go. It is safer to take off, rather than try to stop<\/li>\n<li>V<sub>Ref<\/sub> - <b>threshhold reference speed decision speed<\/b>, or the speed crossing the runway threshhold, just before landing<\/li>\n<\/ul>\n<p>Some of these are fixed for the aircraft type, while others depend on many variables, altitude, temperature, airplane configuration, weight, braking energy, and engine type. [See more on <a href=\"https:\/\/en.wikipedia.org\/wiki\/V_speeds\">V Speeds<\/a>.]<\/p>\n<p>The following article is a \"real-world math tutorial\" from Kidwaresoftware.com: <\/p>\n<p>Computing Airplane Takeoff Speeds (See the link towards the bottom - it's a zipped MS Word file. <b>Update:<\/b> The  doc file is no longer available from that site.)<\/p>\n<p class=\"alt\">See the <a href=\"https:\/\/www.intmath.com\/blog\/mathematics\/calculating-takeoff-speeds-3477#comments\" id=\"comms\">4 Comments<\/a> below.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here's an application of polynomials to a real-life situation - what speed can an aircraft safely take off?<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mo_disable_npp":""},"categories":[4],"tags":[125],"_links":{"self":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/3477"}],"collection":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/comments?post=3477"}],"version-history":[{"count":0,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/posts\/3477\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/media?parent=3477"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/categories?post=3477"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.intmath.com\/blog\/wp-json\/wp\/v2\/tags?post=3477"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}