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Science/Tech
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Title: Brainteaser: There's an airplane on the runway..
Source: Elsewhere
URL Source: http://www.someplaceelse.com
Published: Dec 1, 2005
Author: I have no idea
Post Date: 2005-12-01 01:10:02 by Jhoffa_
Keywords: Brainteaser:, airplane, runway..
Views: 1037
Comments: 202

Imagine a plane is sat on the beginning of a massive conveyor belt/travelator type arrangement, as wide and as long as a runway, and intends to take off. The conveyer belt is designed to exactly match the speed of the wheels at any given time, moving in the opposite direction of rotation. There is no wind.

Can the plane take off?

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#126. To: All, lodwick, Zipporah, wbales, who knows what evil, Soda Pop, Red Jones, christine, robin, wakeup, Diana, YertleTurtle, Elliott Jackalope, TommyTheMadArtist, BTP Holdings (#125)

Pingasaurusreximusmaximus......

Yall

"Unthinking respect for authority is the greatest enemy of truth." - Albert Einstein

timetobuildaboat  posted on  2005-12-02   18:17:41 ET  Reply   Trace   Private Reply  


#127. To: timetobuildaboat (#125)

Your in a boat in a pond. You throw something overboard, it sinks.

Does the level of the pond go up, go down or stay the same?

This isn't a veiled analogy about the war and the presidential popularity polls is it?

If not, then the pond's level stays the same. ;)

When prosperity comes, do not use all of it. - Confucious
The nation is prosperous on the whole, but how much prosperity is there in a hole? - Will Rogers
There are 9,000 hedge funds out there. There aren't that many smart people in the world. - Michael Driscoll, a trader at Bear Stearns & Co. in New York
Some days you just want to pull out the Bonehead Stick and beat people senseless. - mirage

markm0722  posted on  2005-12-02   18:41:07 ET  Reply   Trace   Private Reply  


#128. To: markm0722 (#127)

If it IS a veiled analogy about the war and the presidential popularity polls I'd have to use the president's own words to solve it.

Make the pie higher.

Now we just need to figure out what that means and how it applies here. ;)

When prosperity comes, do not use all of it. - Confucious
The nation is prosperous on the whole, but how much prosperity is there in a hole? - Will Rogers
There are 9,000 hedge funds out there. There aren't that many smart people in the world. - Michael Driscoll, a trader at Bear Stearns & Co. in New York
Some days you just want to pull out the Bonehead Stick and beat people senseless. - mirage

markm0722  posted on  2005-12-02   18:45:26 ET  Reply   Trace   Private Reply  


#129. To: markm0722 (#127)

If not, then the pond's level stays the same. ;)

It is not a political analogy, and yet I cannot respond with a confirmation due to others who might find a need to answer.

"Unthinking respect for authority is the greatest enemy of truth." - Albert Einstein

timetobuildaboat  posted on  2005-12-02   18:45:54 ET  Reply   Trace   Private Reply  


#130. To: timetobuildaboat (#125)

it sinks.

Does the level of the pond go up, go down or stay the same?

"Unthinking respect for authority is the greatest enemy of truth." - Albert Einstein

I'll bite. Because what you threw sinks, it is denser than water. The boat would rise upwards enough to equal the water weight of the rock (negitive displacement?) This would cause the water in the pond to become lower.

BUT, the rock's volume would cause the water level to rise. As the rock is denser than the water (it sinks), the volume of water displaced by the rock is less than the volume of water need to float the rock when it was in the boat.

So the boat rises AND the level of the water is lowered.

Nice question.

tom007  posted on  2005-12-02   19:33:41 ET  Reply   Trace   Private Reply  


#131. To: tom007 (#130)

So the boat rises AND the level of the water is lowered.

Ding, ding, ding.....we have a winner.

The simple fact that it sinks tells you that it is denser than water and would displace more water in the boat than it does when you let it fall to the bottom where it would rest it's weight.

"Thinking that women have a corner on caring is delusional" - Albert Einstein

timetobuildaboat  posted on  2005-12-02   19:43:07 ET  Reply   Trace   Private Reply  


#132. To: wbales (#103)

The wheels rotating (forcing the conveyor to match speed) is proof that the plane is indeed transferring engine thrust to the conveyor belt while the plane remains stationary.

No it's not and no it doesn't.

I can't believe I got sucked into this again.

Adolf Hitler... "What luck for rulers that men do not think."

John F. Kennedy... "Those who make peaceful revolution impossible will make violent revolution inevitable."

wakeup  posted on  2005-12-02   19:50:59 ET  Reply   Trace   Private Reply  


#133. To: wakeup (#132)

I can't believe I got sucked into this again.

Somebody stop the madness.

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   19:51:43 ET  Reply   Trace   Private Reply  


#134. To: timetobuildaboat (#125)

Your in a boat in a pond. You throw something overboard, it sinks.

Does the level of the pond go up, go down or stay the same?

Was what was thrown overboard lighter or heavier than water?

And I'm optimistic. See, I think you can be realistic and optimistic at the same time. I'm optimistic we'll achieve -- I know we won't achieve if we send mixed signals. I know we're not going to achieve our objective if we send mixed signals - gwbush

Dakmar  posted on  2005-12-02   19:53:01 ET  Reply   Trace   Private Reply  


#135. To: timetobuildaboat (#131)

So the boat rises AND the level of the water is lowered.

Ding, ding, ding.....we have a winner.

The simple fact that it sinks tells you that it is denser than water and would displace more water in the boat than it does when you let it fall to the bottom where it would rest it's weight.

I stand corrected. I should have done the math. I got too caught up in taking a stab at political humor, lol.

A 100 ton boat displaces 100 tons of water. If 99.999 tons of nearly infinite density material contained within a thimble is suddenly dumped over the side it will displace next to nothing, and neither will what's left of the boat.

My bad. Well done.

When prosperity comes, do not use all of it. - Confucious
The nation is prosperous on the whole, but how much prosperity is there in a hole? - Will Rogers
There are 9,000 hedge funds out there. There aren't that many smart people in the world. - Michael Driscoll, a trader at Bear Stearns & Co. in New York
Some days you just want to pull out the Bonehead Stick and beat people senseless. - mirage

markm0722  posted on  2005-12-02   19:54:20 ET  Reply   Trace   Private Reply  


#136. To: Dakmar (#134)

Was what was thrown overboard lighter or heavier than water?

It sinks.....

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   19:54:26 ET  Reply   Trace   Private Reply  


#137. To: randge (#106)

They ain't no driveshaft on a 777.

How can anyone think the wheels are driven by the plane engines?

Adolf Hitler... "What luck for rulers that men do not think."

John F. Kennedy... "Those who make peaceful revolution impossible will make violent revolution inevitable."

wakeup  posted on  2005-12-02   19:54:43 ET  Reply   Trace   Private Reply  


#138. To: markm0722 (#135)

Imagine a boat with a chunk of a star in it weighing hundreds of tons and it's the size of a thimble and you throw it overboard......

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   19:56:48 ET  Reply   Trace   Private Reply  


#139. To: Dakmar (#109)

If the conveyor belt is turning at exactly the same speed as the wheels, then by definition the plane is standing still...

not true

Adolf Hitler... "What luck for rulers that men do not think."

John F. Kennedy... "Those who make peaceful revolution impossible will make violent revolution inevitable."

wakeup  posted on  2005-12-02   19:56:51 ET  Reply   Trace   Private Reply  


#140. To: Soren (#110)

perhaps, the trick answer is that the belt...

no trick answer, no trick question

Adolf Hitler... "What luck for rulers that men do not think."

John F. Kennedy... "Those who make peaceful revolution impossible will make violent revolution inevitable."

wakeup  posted on  2005-12-02   19:59:07 ET  Reply   Trace   Private Reply  


#141. To: wakeup (#140)

no trick answer, no trick question

I could see it considering I'm on a copious amount of wine. All is good and all is a little fuzzy...:P

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   20:00:33 ET  Reply   Trace   Private Reply  


#142. To: Neil McIver (#111)

the only way the plane could move forward is if the wheels turned fasted than the conveyor belt

nope, the wheels and conveyer belt are none issues

Adolf Hitler... "What luck for rulers that men do not think."

John F. Kennedy... "Those who make peaceful revolution impossible will make violent revolution inevitable."

wakeup  posted on  2005-12-02   20:01:15 ET  Reply   Trace   Private Reply  


#143. To: Soren (#113)

LOL. Amazing how similar our thought processes were.

both of you are mistaken

Adolf Hitler... "What luck for rulers that men do not think."

John F. Kennedy... "Those who make peaceful revolution impossible will make violent revolution inevitable."

wakeup  posted on  2005-12-02   20:03:49 ET  Reply   Trace   Private Reply  


#144. To: wakeup, wbales, markm0722 (#132)

In the real world a powerful plane would take off after wasting precious fuel and wear & tear countering a conveyor belt some idiot is running in the wrong direction. Steam catapults currently in use seem much more sensible for that task.

This is why I said there isn't enough detail, like are the wheels skidding. It seems clear (to me, anyway) that we are to assume that the tires of the airplane are in perfect contact with convbelt, so once again, no, the plane could not get airborn because an unknown force is causing the conveyer belt to negate any forward motion.

And I'm optimistic. See, I think you can be realistic and optimistic at the same time. I'm optimistic we'll achieve -- I know we won't achieve if we send mixed signals. I know we're not going to achieve our objective if we send mixed signals - gwbush

Dakmar  posted on  2005-12-02   20:04:14 ET  Reply   Trace   Private Reply  


#145. To: Dakmar (#109)

If the conveyor belt is turning at exactly the same speed as the wheels, then by definition the plane is standing still and thus could not get airborn. Of course this could never happen, but that's the way the question is phrased.

That is the way I see it. Also many do not realize the difference between rockets and air breathing jet engines.Understandable as some of the jargon is not strictly accurate. A jato (jet assist take off) for example is a rocket, though its name implies it is a jet.

tom007  posted on  2005-12-02   20:04:55 ET  Reply   Trace   Private Reply  


#146. To: timetobuildaboat (#138)

Imagine a boat with a chunk of a star in it weighing hundreds of tons and it's the size of a thimble and you throw it overboard......

I actually used a bit of a neutron star in my mental picture (give or take), so you aren't far off! ;)

When prosperity comes, do not use all of it. - Confucious
The nation is prosperous on the whole, but how much prosperity is there in a hole? - Will Rogers
There are 9,000 hedge funds out there. There aren't that many smart people in the world. - Michael Driscoll, a trader at Bear Stearns & Co. in New York
Some days you just want to pull out the Bonehead Stick and beat people senseless. - mirage

markm0722  posted on  2005-12-02   20:06:37 ET  Reply   Trace   Private Reply  


#147. To: markm0722 (#146)

One of the brighter of the minions.....congratulations

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   20:08:26 ET  Reply   Trace   Private Reply  


#148. To: markm0722 (#146)

Actually supprised you did not go on about the conveyor/plane situatuion like many of the others. Kinda strange IMHO.

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   20:09:49 ET  Reply   Trace   Private Reply  


#149. To: wakeup (#142)

nope, the wheels and conveyer belt are none issues

For the sake if this question, yes they are. It is mathematically impossible that the plane could move forward while in contact with cvbelt, the landing gear wheels are in fact solidly attached to the airframe, and are only moving forward to compensate for the rearward movement of conveyor belt. It says so right at the top! :)

And I'm optimistic. See, I think you can be realistic and optimistic at the same time. I'm optimistic we'll achieve -- I know we won't achieve if we send mixed signals. I know we're not going to achieve our objective if we send mixed signals - gwbush

Dakmar  posted on  2005-12-02   20:11:00 ET  Reply   Trace   Private Reply  


#150. To: Dakmar (#149)

It is mathematically impossible that the plane could move forward while in contact with cvbelt,

Are you mental?

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   20:13:40 ET  Reply   Trace   Private Reply  


#151. To: tom007 (#145)

For the purpose of this thread jet vs rocket doesn't matter, we have very few runways higher than 80,000 feet anyway, and only a couple of them are testing conveyor belt technology.

And I'm optimistic. See, I think you can be realistic and optimistic at the same time. I'm optimistic we'll achieve -- I know we won't achieve if we send mixed signals. I know we're not going to achieve our objective if we send mixed signals - gwbush

Dakmar  posted on  2005-12-02   20:14:40 ET  Reply   Trace   Private Reply  


#152. To: All (#145)

I'm re-thinking this. Whatever thrust is produced by the engines would be applied to the mass of the plane, seems the wheels and conveyor are immaterial.

tom007  posted on  2005-12-02   20:15:33 ET  Reply   Trace   Private Reply  


#153. To: Dakmar (#151)

we have very few runways higher than 80,000 feet anyway, and only a couple of them are testing conveyor belt technology.

The epitomy of madness or sarcasm.

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   20:15:48 ET  Reply   Trace   Private Reply  


#154. To: timetobuildaboat (#150)

Are you mental?

Yeah, so what?

Forget physics, in the world of this brain-teaser the cbelt has to achieve infinite speed to compensate. The wheels are spinning, they must be there...

And I'm optimistic. See, I think you can be realistic and optimistic at the same time. I'm optimistic we'll achieve -- I know we won't achieve if we send mixed signals. I know we're not going to achieve our objective if we send mixed signals - gwbush

Dakmar  posted on  2005-12-02   20:19:26 ET  (1 image) Reply   Trace   Private Reply  


#155. To: timetobuildaboat (#153)

The epitomy of madness or sarcasm.

Thank you, I was only going for honest...

And I'm optimistic. See, I think you can be realistic and optimistic at the same time. I'm optimistic we'll achieve -- I know we won't achieve if we send mixed signals. I know we're not going to achieve our objective if we send mixed signals - gwbush

Dakmar  posted on  2005-12-02   20:20:46 ET  Reply   Trace   Private Reply  


#156. To: Dakmar (#154)

Forget physics, in the world of this brain-teaser the cbelt has to achieve infinite speed to compensate. The wheels are spinning, they must be there...

If you close your left eye and cycle the closing and opening of the right eye you can see Jesus....

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   20:21:41 ET  Reply   Trace   Private Reply  


#157. To: timetobuildaboat (#156)

You can do that with these new visual mousees to, just hold it upside down and look straight into the light...

And I'm optimistic. See, I think you can be realistic and optimistic at the same time. I'm optimistic we'll achieve -- I know we won't achieve if we send mixed signals. I know we're not going to achieve our objective if we send mixed signals - gwbush

Dakmar  posted on  2005-12-02   20:25:45 ET  Reply   Trace   Private Reply  


#158. To: tom007 (#152)

I'm re-thinking this. Whatever thrust is produced by the engines would be applied to the mass of the plane, seems the wheels and conveyor are immaterial.

I think you made it just in time. Look what I found.

Fan on skateboard on conveyor belt video

When prosperity comes, do not use all of it. - Confucious
The nation is prosperous on the whole, but how much prosperity is there in a hole? - Will Rogers
There are 9,000 hedge funds out there. There aren't that many smart people in the world. - Michael Driscoll, a trader at Bear Stearns & Co. in New York
Some days you just want to pull out the Bonehead Stick and beat people senseless. - mirage

markm0722  posted on  2005-12-02   20:27:54 ET  Reply   Trace   Private Reply  


#159. To: Dakmar (#157)

You can do that with these new visual mousees to, just hold it upside down and look straight into the light...

The same can be achieved using phosphines or imprinted images on the retina via black in white images...pretty neat stuff.

But that would lack meaning among those on the other side.

"Thinking that women have a corner on caring is delusional" - A Man not thinking with his dick

timetobuildaboat  posted on  2005-12-02   20:28:22 ET  Reply   Trace   Private Reply  


#160. To: markm0722 (#158)

EXCELLENT. Started to think of some dynamics classes - that cleared the fog.

tom007  posted on  2005-12-02   20:33:28 ET  Reply   Trace   Private Reply  


#161. To: tom007 (#160)

EXCELLENT. Started to think of some dynamics classes - that cleared the fog.

It seems we are now on the same page with both brainteasers now. Whew!

When prosperity comes, do not use all of it. - Confucious
The nation is prosperous on the whole, but how much prosperity is there in a hole? - Will Rogers
There are 9,000 hedge funds out there. There aren't that many smart people in the world. - Michael Driscoll, a trader at Bear Stearns & Co. in New York
Some days you just want to pull out the Bonehead Stick and beat people senseless. - mirage

markm0722  posted on  2005-12-02   20:43:32 ET  Reply   Trace   Private Reply  


#162. To: Soren (#110)

Excellent analysis!

God is always good!
"It was an interesting day." - President Bush, recalling 9/11 [White House, 1/5/02]

RickyJ  posted on  2005-12-02   20:54:17 ET  Reply   Trace   Private Reply  


#163. To: wakeup (#75)

I stand by what I have written. I have confidence in my understanding.

The tires would burn off, then the wheels would break off, due to the massive heat generated by the race to infinite speeds brought about by the unreal exact matching of the rotational speed of the airplane wheels by the conveyer belt, before the plane had a chance to get enough speed to get airborne. The plane would then come to a skidding halt on the runway, it would not take off. I gave you an excellent clue why your hypothesis was wrong, but it seemed you were too busy calling other people’s analysis “Sad, really sad”, to notice.

God is always good!
"It was an interesting day." - President Bush, recalling 9/11 [White House, 1/5/02]

RickyJ  posted on  2005-12-02   21:19:27 ET  Reply   Trace   Private Reply  


#164. To: Neil McIver (#111)

So you read Soren's post huh? LOL! Just kidding! Good analysis, except for the exploding part, I think the wheels would break off before that happened, thus causing the conveyer belt to stop.

God is always good!
"It was an interesting day." - President Bush, recalling 9/11 [White House, 1/5/02]

RickyJ  posted on  2005-12-02   21:28:20 ET  Reply   Trace   Private Reply  


#165. To: Dakmar (#149)

For the sake if this question, yes they are. It is mathematically impossible that the plane could move forward while in contact with cvbelt, the landing gear wheels are in fact solidly attached to the airframe, and are only moving forward to compensate for the rearward movement of conveyor belt. It says so right at the top! :)

in a car, true

in a plane, nope

Adolf Hitler... "What luck for rulers that men do not think."

John F. Kennedy... "Those who make peaceful revolution impossible will make violent revolution inevitable."

wakeup  posted on  2005-12-02   21:53:23 ET  Reply   Trace   Private Reply  



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