Über855R Posted October 3, 2012 Report Share Posted October 3, 2012 What is the width of the narrowest alley in which a car with turning radius r can make a "three-point-turn"? [Note: The car should be thought of as a point with no width or length.] Anybody want to take a shot at it? http://www.state.nj....chap_03_13.html Link to comment Share on other sites More sharing options...
JVC Posted October 3, 2012 Report Share Posted October 3, 2012 Whatever the distance from the front corner to the opposing back corner assuming the vehicle has a 90 degree capable steering rack... Link to comment Share on other sites More sharing options...
Über855R Posted October 5, 2012 Author Report Share Posted October 5, 2012 Whatever the distance from the front corner to the opposing back corner assuming the vehicle has a 90 degree capable steering rack... That is a nice idea if we weren't "regarding the car as a point with no width or length." Also using that idea it would be the distance from front to rear tire contact patch edges assuming room to clear the shoulders. So I take it nobody here knows trig and likes a little mental workout... I will post a solution in a couple of days, anyone is welcome to post one before me? Link to comment Share on other sites More sharing options...
flyfishing3 Posted October 5, 2012 Report Share Posted October 5, 2012 https://www.google.com/search?tbm=isch&source=mog&hl=en&gl=us&client=safari&tab=wi&q=austin%20powers%20stuck%20in%20hallway&sa=N&biw=568&bih=234#i=0 Best I could sitting in a bar Link to comment Share on other sites More sharing options...
Über855R Posted October 6, 2012 Author Report Share Posted October 6, 2012 https://www.google.com/search?tbm=isch&source=mog&hl=en&gl=us&client=safari&tab=wi&q=austin%20powers%20stuck%20in%20hallway&sa=N&biw=568&bih=234#i=0 Best I could sitting in a bar Lol. I love that scene. Also displays exactly how important this problem is when you are a comedic secret agent. If anybody is trying and wants a hint, just ask... Link to comment Share on other sites More sharing options...
gdizzle Posted October 6, 2012 Report Share Posted October 6, 2012 :mellow: Link to comment Share on other sites More sharing options...
JVC Posted October 7, 2012 Report Share Posted October 7, 2012 I looked it up on the Internet. Got an answer. Link to comment Share on other sites More sharing options...
Über855R Posted October 7, 2012 Author Report Share Posted October 7, 2012 I looked it up on the Internet. Got an answer. I guess google searching is a "skill." Let's see your explanation... Link to comment Share on other sites More sharing options...
JVC Posted October 7, 2012 Report Share Posted October 7, 2012 http://wordplay.blogs.nytimes.com/2012/06/18/numberplay-wires/ Link to comment Share on other sites More sharing options...
DVolvoguy850T5 Posted October 7, 2012 Report Share Posted October 7, 2012 Ok. Now I have a headache. I checked the link to the "answer" and I still don't know. I know the Volvo 240 series has a very tight turning radius but I am sure the 83 Nissan Sentra could easily turn inside of the Volvo. Even better than my 62 Austin Healy. That being said, what is the highest radius in a three point turn about? Link to comment Share on other sites More sharing options...
Über855R Posted October 8, 2012 Author Report Share Posted October 8, 2012 The answer is r-r/3=(2/3)r. Solving the triangle depicted in the "answer" using law of cosines, the sum of interior angles and an obvious relationship involving the cosine function, relating the three equations we can solve for the interior angles of the isosceles triangle and thereby find the minimum width possible. If anybody cares. Link to comment Share on other sites More sharing options...
vmzoller Posted October 11, 2012 Report Share Posted October 11, 2012 Dang I saw this too late...I love math. Link to comment Share on other sites More sharing options...
Über855R Posted October 17, 2012 Author Report Share Posted October 17, 2012 Dang I saw this too late...I love math. You could still try it and see if you can come up with that answer. That is the fun part. Or I will post another one soon so keep looking. Link to comment Share on other sites More sharing options...
vmzoller Posted October 17, 2012 Report Share Posted October 17, 2012 Post another soon, I'll keep my eyes out (: Link to comment Share on other sites More sharing options...
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