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Variation on Perry's Physics Problem

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(@holy-cow)
Posts: 25292
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Install a pipe running perfectly horizontal from HERE to THERE where THERE is directly opposite of HERE, i.e. the far side of Earth. The bottom of the pipe is always the same distance from the center of Earth. Install a short funnel mechanism a minor distance above the pipe at HERE such that a relatively infinite amount of water COULD flow into the perfectly level and frictionless pipe. Will water eventually exit the end of the pipe at THERE?

 
Posted : November 11, 2012 8:34 pm
(@dave-karoly)
Posts: 12001
 

Where are you guys getting these frictionless pipes?

 
Posted : November 11, 2012 8:40 pm
(@holy-cow)
Posts: 25292
Topic starter
 

Same place we get those FOUND IRON PIN's that are always exactly where they need to be found.

 
Posted : November 11, 2012 8:45 pm
(@bill93)
Posts: 9834
 

> perfectly horizontal ... always the same distance from the center of Earth

For this you have to assume a symmetrical earth, since the real horizontal (geoid) is not always the same distance from the center.

If the water source is above the inlet, then of course it would eventually run out the other end.

 
Posted : November 11, 2012 9:20 pm
(@dave-karoly)
Posts: 12001
 

Since there is no friction wouldn't the water reach the speed of light?

 
Posted : November 11, 2012 9:22 pm
 jaro
(@jaro)
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It depends on where "here" and "there" are. If the pipe runs from east to west, the gravitational force of the moon and it's rotation would eventually pull all the water out the other end.

If it was laid west to east, the moon would keep pulling the water back to the starting point.

I seem to remember seeing an advertisement on some frictionless pipe a few months ago. It was on late night TV and if you ordered in the next 30 minutes, you could get two joints for the price of one. Just pay the extra shipping and processing.:-)

James

 
Posted : November 12, 2012 5:22 am
(@dave-karoly)
Posts: 12001
 

Was it 19.95?

And you get the mini frictionless pipe for free too!

But wait call in the next 15 minutes and we'll double your order. That's right, you get two frictionless pipes and two mini frictionless pipes!

 
Posted : November 12, 2012 7:51 am
 jaro
(@jaro)
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Yeah, that was it. What were you doing up so late at night?

James

 
Posted : November 12, 2012 7:57 am
(@dave-karoly)
Posts: 12001
 

We went to our favorite used bookstore in Jackson which is an hour and a half or so southeast in the Motherload (Amador County). Then we had dinner at a favorite place in Sutter Creek. So we got home a little late.

 
Posted : November 12, 2012 9:08 am
(@perry-williams)
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Need more info

> Install a pipe running perfectly horizontal from HERE to THERE where THERE is directly opposite of HERE, i.e. the far side of Earth. The bottom of the pipe is always the same distance from the center of Earth. Install a short funnel mechanism a minor distance above the pipe at HERE such that a relatively infinite amount of water COULD flow into the perfectly level and frictionless pipe. Will water eventually exit the end of the pipe at THERE?

Since you assume the funnel is a minor distance above the pipe, I assume you mean there is no head pressure. If there is no head pressure (or a specified initial water velocity), there will be no flow.

If the short funnel does indeed provide head pressure, then a flow into the pipe will commence assuming there is an outlet at that his outlet is also a minor distance above the pipe.

 
Posted : November 13, 2012 5:59 am
(@holy-cow)
Posts: 25292
Topic starter
 

Need more info

The pipe never runs uphill or downhill, it is always level. As water enters the pipe from the funnel, it can not stack up. It must seek the lowest level, which is the bottom of the pipe. Since you can't stack it up, it must move sideways. Initially, it would need to fill the bottom fraction of an inch inside the pipe for a very long distance befoe there would be enough friction and viscosity issues that would force the water to get a little deeper over time. Meanwhile the leading edge of the water will continue to move away from the inlet.

 
Posted : November 13, 2012 4:10 pm
(@perry-williams)
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I'm with you

> The pipe never runs uphill or downhill, it is always level. As water enters the pipe from the funnel, it can not stack up. It must seek the lowest level, which is the bottom of the pipe. Since you can't stack it up, it must move sideways. Initially, it would need to fill the bottom fraction of an inch inside the pipe for a very long distance befoe there would be enough friction and viscosity issues that would force the water to get a little deeper over time. Meanwhile the leading edge of the water will continue to move away from the inlet.

Okay I'm with you so far, so as the water gets deeper near the source, it essentialy would start running downhill and flow would commence; (like filling a trough at one end and water makes it to the other end). As long as there was an an outlet at the end of the pipe, I believe it would flow.

 
Posted : November 13, 2012 6:32 pm