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Old 04-04-14, 02:53 PM   #1
Tom Stormcrowe
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Contest: The Math Game: Prize!!!!

You have a rotating cylinder with a circumference of exactly 2199.1148575128552669238503682957 meters. It makes 1 complete 360 degree rotation every 120 seconds. You are in a vehicle that traverses 700 meters in 60 seconds from a dead stop on the surface. You launch vertically along the diameter line through the center of rotation. Where is your impact point going to be in the cylinder inner surface going to be?

Winner with the first correct answer gets a free Titanium Membership for life. Good luck and may the odds be ever with you!
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Old 04-04-14, 03:00 PM   #2
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It is going to hit the vehicle that launched it, so it will not hit the cylinder. jim
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Old 04-04-14, 03:13 PM   #3
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Old 04-04-14, 03:28 PM   #4
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It is going to hit the vehicle that launched it, so it will not hit the cylinder. jim
That's what I get too. It should hit where it began.
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Old 04-04-14, 03:28 PM   #5
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As a Blue Star, even after you leave, if you leave in good standing, as staff, you'll retire with lifetime Ti. That's been policy for years and staff is not elegible.
[MENTION=67970]jgedwa[/MENTION], assume a single stage vehicle.
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Old 04-04-14, 03:46 PM   #6
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The vehicle takes 188.4955592 seconds to traverse 2199.1148575128552669238503682957 meters

The cylinder rotates 1.570796327 times in 188.4955592 seconds.

.570796327 of a rotation is 205.4866777 degrees

So the vehicle hits the cylinder at 205.4866777 degrees.
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Old 04-04-14, 03:51 PM   #7
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The answer is C.
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Old 04-04-14, 03:53 PM   #8
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The vehicle takes 188.4955592 seconds to traverse 2199.1148575128552669238503682957 meters

The cylinder rotates 1.570796327 times in 188.4955592 seconds.

.570796327 of a rotation is 205.4866777 degrees

So the vehicle hits the cylinder at 205.4866777 degrees.
You're overthinking this....we're dealing with a 60 second interval and the trajectory is through the center of rotation..
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Old 04-04-14, 04:05 PM   #9
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You hit at 180 degrees.

2199.1148575128552669238503682957/ pi = 700 meters.

The vehicle goes 700 meters in 60 seconds.
The distance the vehicle goes = the diameter of the cylinder.
The cylinder will have rotated 180 degrees in 60 seconds.
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Old 04-04-14, 05:17 PM   #10
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Incorrect and correct, at the same time, you've made an error in your assumptions in syntax. Remember, the launch point is 0.

t_1=60
t_2=120
D=700
C=Pi(700)

D-(C/2)=0

Impact = the origin point, which was @ 0, but is now @ 180.

You impact right back where you started, in relation to the geography of the cylinder. Now, you won lifetime ti in a previous contest, so who would you like to gift it to?

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You hit at 180 degrees.



2199.1148575128552669238503682957/ pi = 700 meters.

The vehicle goes 700 meters in 60 seconds.
The distance the vehicle goes = the diameter of the cylinder.
The cylinder will have rotated 180 degrees in 60 seconds.
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Old 04-04-14, 05:30 PM   #11
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Old 04-04-14, 05:32 PM   #12
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Old 04-04-14, 05:33 PM   #13
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That's what I get too. It should hit where it began.
Whoops, I missed this answer, so sorry artkansas, locolobo won with the correct answer.
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Old 04-04-14, 05:40 PM   #14
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The starting point.


oops. disregard.

Last edited by jdon; 04-04-14 at 05:42 PM. Reason: slow thinker
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Old 04-04-14, 06:33 PM   #15
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I am still confused by exactly what was described, but did I get it right nevertheless in some kind of way? Seems like I might have. jim
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Old 04-04-14, 06:35 PM   #16
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so who would you like to gift it to?
Locolobo13 of course!
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Old 04-04-14, 06:54 PM   #17
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Old 04-04-14, 07:43 PM   #18
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Almost right. You were on the right track, but missed it by saying no hit on the circumference rim and rather, the launch Vehicle was going to get hit.. That was why I threw the hint to assume single stage, since the distance was only 700 meters covered.
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I am still confused by exactly what was described, but did I get it right nevertheless in some kind of way? Seems like I might have. jim
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Old 04-04-14, 08:00 PM   #19
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Old 04-04-14, 08:17 PM   #20
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So, can an airplane takeoff on a treadmill turning in the opposite direction and matched speeds?
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Old 04-04-14, 08:23 PM   #21
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So, can an airplane takeoff on a treadmill turning in the opposite direction and matched speeds?
...this is a classic trick question from the pilot's exam. VTOL, pal.
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Old 04-04-14, 09:48 PM   #22
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So, can an airplane takeoff on a treadmill turning in the opposite direction and matched speeds?
So I needed a 777 for this gigantic treadmill I am building to test this...
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Old 04-04-14, 10:09 PM   #23
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So, can an airplane takeoff on a treadmill turning in the opposite direction and matched speeds?
And is it happening in a vacuum or under Congressional oversight?
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Old 04-04-14, 10:12 PM   #24
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As a Blue Star, even after you leave, if you leave in good standing, as staff, you'll retire with lifetime Ti. That's been policy for years and staff is not elegible.
Just like Congress. Does loco also get free healthcare for the rest of his days?

My guess was pie. Cuz the best answer is always pie.
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Old 04-04-14, 10:14 PM   #25
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And is it happening in a vacuum or under Congressional oversight?
There's a difference?
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