In the \"old days\" (circa 1935) pilots use to race small, relativelyhigh powere

Question

In the "old days" (circa 1935) pilots use to race small, relativelyhigh powered airplanes around courses marked by a pylon on theground at each end of the course. Suppose two such evenly matchedracers fly at airspeeds of 130mph. (Remember, this was a long timeago!) Each flies one complete round trip of 25miles, but their courses are perpendicular to eachother and there is a 20mph wind blowing steadily parallel to onecourse. (a) Which pilot wins the race and by how much? (b) Relativeto the axes of their respective courses, what headings must the twopilots use?

Explanation / Answer

Suppose two such evenly matched racers fly at airspeeds of130mph. Each flies one complete round trip of 25 miles, buttheir courses are perpendicular to each other and there is a 20mphwind blowing steadily parallel to one course. (a) Which pilot wins the race and by how much? lets say pilot one is the one traveling parallel to the wind during one side of the trip is going with the wind and the otherhalf is going against so the total time is 12.5/(130+20) + 12.5/(130-20)=.197h pilot 2 travels perpendicular to the wind so it doesnt affect itsspeed so time=25/130=.192h so pilot one wins by .005h or 18s

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