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Conference dypss1::brain_bogglers

Title:Brain Bogglers
Notice:BRAIN_BOGGLERS is, like, back in business, totally
Moderator:BUSY::SLAB
Created:Mon Jul 13 1987
Last Modified:Mon Jun 02 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:1441
Total number of notes:13981

1439.0. "large disc rolling by your window" by 4446::OSMAN (Eric Osman, dtn 226-7122) Tue May 06 1997 13:27

    
    Imagine someone rolling a large disc down the street outside your
    window.  Imagine that this disc is as large as the earth.  As they
    roll it past your window, what will you see ?
    
    /Eric
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1439.1PENUTS::DDESMAISONSAre you married or happy?Tue May 06 1997 14:394
	neighbors running and screaming?


1439.239044::16.121.160.233::slablabounty@mail.dec.comTue May 06 1997 21:514
You definitely wouldn't see much ... if there's anything on the disc, you'll see a blur of 
color [but I guess that depends on the speed of the disc].

1439.3Like a fool, I'll try answeringNETCAD::ROLKEThe FDDI Genome ProjectWed May 07 1997 16:5427
This answer is "really serious" so don't laugh:

   If there were any distinguishing marks (such as "P185/HR506880000")
   then this mark would appear to fall vertically from the sky, linger
   for a moment, and then rise straight up again.  To me the disc
   would look like a horizontal line with the disc above and my street
   below.

   This is because we are constrained to looking at something in my
   street from my window:  my window gives but a small, mostly horizontal
   view of the street some 20 meters distant.  The disc with a radius
   of 4000 miles would have no noticable curvature.

I'd have taken pictures but my lens cap was stuck!
Chuck

Now....
Tell us more about your problem.  

  How long have you been concerned about these "discs"?  
  How many have you seen?  
  How do you know how big they are?
  When did you stop seeing discs this big?
  Have you seen the rubber bands wrapped around the earth?
  Are you tempted to climb the rope which goes to the moon?

Keep your mirrors clean!
1439.44446::OSMANEric Osman, dtn 226-7122Thu May 08 1997 13:3211
    
    Yes, that's getting to the point.  Specifically, as the disk
    is rolled by your window, you'd see a horizontal line go down and then
    up again, like a window shade.
    
    (For a disk the size of the earth, how fast would it need to be rolled
    from left to right for the window shade affect to be at some reasonable
    speed, i.e. not so fast as to be done in an instant, and not so slow
    as to be impatient waiten for ?)
    
    /Eric
1439.5CSC32::MACGREGORColorado: the TRUE mid-westThu May 08 1997 21:326
    
    I would venture a guess that the rate would be variable.  I mean my
    eight year old would be bored in about a nanosecond, whereas the monk
    at the top of the mountain in B.C. might be able to wait a lifetime 8^)
    
    Marc
1439.64446::OSMANEric Osman, dtn 226-7122Fri May 09 1997 22:008
    
    I didn't mean it to be a trick question.
    
    If you need me to pick a value, o.k. suppose we want to see the shade
    affect cover a 1 meter high window in 1 second, then have the window
    clear again 1 second later.  How fast is disk rolling ?
    
    /Eric
1439.7whoosh!NETCAD::ROLKEThe FDDI Genome ProjectFri May 16 1997 14:3031
This is my reward for typing "open bra" so often!?
-C

Two circles (radius = r = 6367470 m) join at a point (point = P).
The height of the window is one meter (h = 1m).

Their common tangent has a point A where the distance from A to 
either circle's center is (r + h/2).  This is were the circles are
"h" apart.

So the distance from P to A is

	PA = sqrt( (r+(h/2))^2 - r^2 )
	PA = sqrt( rh + (h/2)^2 )

For the disc to "roll" this far in any unit of time (time = t = 1S)
then the whole mess is:

	disk speed = sqrt( 2rh/2 + (h/2)^2 ) / t
	disk speed = 2523.38 m/s

This disc makes one revolution around the earth in 4.4 hours.

Note the loose assumptions that 1) the earth is circular, 2) the window
is at ground level, 3) the earth/disc radius is so big compared to the
window that I can ignore the curvature effects as the disc covers the 
window.

This solves for the speed of point of contact of the earth and disc.
Would the "speed" of the disc be better measured as the disc's axle
speed in space around the center of the earth?