Team Macha Posted March 9, 2007 Posted March 9, 2007 I would like to give away one of my new personals (top 40) and will be doing so to the person who can win this contest. The person who wins will need to solve the problem to my satisfaction. Also they will need to email/pm me ASAP because I will be leaving soon for a long trip. If no one answers the question correctly by 9:00 pm CST then I will pick the person with the closest answer. You may need to use the diagram provided to solve the problem. Good luck! You'll need it : The original Ferris wheel was much different from the ones of today. They had 36 cars which carried approx 40 people each and were 250 ft. in diameter. They made 1 revolution every 10 minutes. Assume in the diagram that at the point (125,0) there is a car. You need to show the equation of the line (on a graph) that the car makes. In other words a sinusoidal graph. Be sure to include “sine” in your equation. If you want “extra points” (nothing really) you can draw the graph of the line. It may help convince me you know what you’re talking about. Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 Remember if you try you could have the closest answer and you'll get the coin. And also you can answer as many times as you wish (within reason). Quote
+coreynjoey Posted March 9, 2007 Posted March 9, 2007 Uhh.....I know the answer....but I just don't feel like sharing right now! Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 Uhh.....I know the answer....but I just don't feel like sharing right now! ok.... why not? Quote
+sillygirl & jrr Posted March 9, 2007 Posted March 9, 2007 (edited) The last time I wrote an equation with sin/cos/tangent in it. It was the 1970's.... edit spelling Edited March 9, 2007 by sillygirl & jrr Quote
+coreynjoey Posted March 9, 2007 Posted March 9, 2007 Uhh.....I know the answer....but I just don't feel like sharing right now! ok.... why not? OK OK, I don't know the answer....geesh....get off my back already! Quote
+OshnDoc Posted March 9, 2007 Posted March 9, 2007 (edited) sin(x/ax * pi/2) * ay I know this is not it exactly. am still working on it. Has been a while. Edited March 9, 2007 by OshnDoc Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 sin(x/ax * pi/2) * ay I know this is not it exactly. am still working on it. Has been a while. You're the closest so far but its not pi/2... Quote
+TheCollector Posted March 9, 2007 Posted March 9, 2007 This is a bad image from my camera phone no scanner I think this is right? Quote
+OshnDoc Posted March 9, 2007 Posted March 9, 2007 (edited) This actually looks a bit better. sin(x/ax) * ay I sure am rusty! am still working on it. Edited March 9, 2007 by OshnDoc Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 y = a sin 2pie/b (x - c) + d this is the correct model equation but your graph was wrong. Your period is incorect. Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 sin(x/ax * pi) * by I am not sure what you are saying here. It's closer to what the Collector is giving. Quote
general_tupperware Posted March 9, 2007 Posted March 9, 2007 Whoa, way out of my math knowledge range. Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 Whoa, way out of my math knowledge range. lol I knew this would happen. I almost put a disclaimer about this in my original post. Quote
+TheCollector Posted March 9, 2007 Posted March 9, 2007 Macha could you PM me on what im doing wrong and help me with my graph. Quote
+DresselDragons Posted March 9, 2007 Posted March 9, 2007 It goes around in a circle...that's my answer, and I'm sticking to it! Sorry...been too many years since I've used those brain cells. Quote
+6 Feet More Posted March 9, 2007 Posted March 9, 2007 Macha could you PM me on what im doing wrong and help me with my graph. No . . . PM me what he is doing wrong and help me with the correct graph. . . . I want to win a coin!!!! Quote
general_tupperware Posted March 9, 2007 Posted March 9, 2007 And it had to be a question with circles, too. If it was a rectangle maybe I could've figured it out. Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 (edited) pms sent to both of you! only 45 mins left! can it be done????? Yes I do know the answer. lol Edited March 9, 2007 by Team Macha Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 And it had to be a question with circles, too. If it was a rectangle maybe I could've figured it out. I might give away another one when I get back from my trip and I'll try to make it a little less demanding on ones brain. I guess I have though of one now and could post it.... Quote
+57chevy Posted March 9, 2007 Posted March 9, 2007 (edited) Math hurts my brain. Edited March 9, 2007 by 57chevy Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 It takes a monkey precisely 7.33 minutes to kick the seeds out of a pickle. And... Vanilla ice cream aint got no bones! ROFL! close but not quite.... Quote
+Red Otter Posted March 9, 2007 Posted March 9, 2007 how about: y = -125 * cos((pi * x)/300) + 125 where x is in seconds... Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 how about: y = -125 * cos((pi * x)/300) + 125 where x is in seconds... Very close except convert to sine instead of cosine. actually it is easier to write it in sine form than cosine form. Quote
+TheCollector Posted March 9, 2007 Posted March 9, 2007 (edited) y = a sin 2pie/b (x - c) + d y = -125 sin .628 (x) +125 x = min Edited March 9, 2007 by TheCollector Quote
+Red Otter Posted March 9, 2007 Posted March 9, 2007 how about y = 125 * sin ((pi*x)/300) + 125 Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 you guys are sooo close just leave off the end 125 and get your period correct. Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 ahhhh no the 300 is wrong too forget the 300. use the model y= a sin 2pi/b and plug in numbers major hint: the 125 and 10 are very important. Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 (edited) make sure you simplify and leave it in terms of pi, in other words don't give me it it deciaml form like 3.1415926 just say pi Edited March 9, 2007 by Team Macha Quote
+Red Otter Posted March 9, 2007 Posted March 9, 2007 ahhhh no the 300 is wrong too forget the 300. use the model y= a sin 2pi/b and plug in numbers major hint: the 125 and 10 are very important. how about y = 125 sin ((x * pi)/5) Quote
+501_Gang Posted March 9, 2007 Posted March 9, 2007 Oh wait, I already have one of your coins! Never mind...... Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 ahhhh no the 300 is wrong too forget the 300. use the model y= a sin 2pi/b and plug in numbers major hint: the 125 and 10 are very important. how about y = 125 sin ((x * pi)/5) ding ding ding we havea winner! Quote
+TheCollector Posted March 9, 2007 Posted March 9, 2007 Darn i wish i could of gotten this but with no calc here cant really do anything Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 you can write it as 125 sin (pi x)/5=y good job red otter! please pm/email me your mailing address and I will ship you one of my coins. Quote
+Red Otter Posted March 9, 2007 Posted March 9, 2007 Wow, that was fun (though a I have a headache now ). Thanks for a fun contest!! Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 (edited) well you don't really need a calc if you leave it in terms of pi. just plugging in numbers. I guess the main thing was knowing the base equation of a sin 2pi/b to all of you, now that you know the answer does it make a little more sense? hopefully....maybe.... Edited March 9, 2007 by Team Macha Quote
+501_Gang Posted March 9, 2007 Posted March 9, 2007 I take it your a math teacher/ Professor Macha. Quote
Team Macha Posted March 9, 2007 Author Posted March 9, 2007 I take it your a math teacher/ Professor Macha. nope I just was learning from my son who is taking precalc and he just unlocked some things i had learned when I took it way back when. a long time ago in a land far far away. I thought one of his homework questions would go for a great contest. Quote
+501_Gang Posted March 9, 2007 Posted March 9, 2007 (edited) I take it your a math teacher/ Professor Macha. nope I just was learning from my son who is taking precalc and he just unlocked some things i had learned when I took it way back when. a long time ago in a land far far away. I thought one of his homework questions would go for a great contest. Wow..... Now I remember why I hated school!! Edited March 9, 2007 by 501_Gang Quote
general_tupperware Posted March 9, 2007 Posted March 9, 2007 (edited) Hey, pi! I'm good at memorization. This is what I've memorized of pi. For real! 3.1415926535897932384626433832795028841971693993751058209749445923708164 Just not too sure about the two bolded digits. GT Edited to add that those two #s should be switched. Edited March 9, 2007 by general_tupperware Quote
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