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In lugnet.town, Sanjay D'Souza writes:
> Todd Lehman wrote in message ...
> > In lugnet.town, Sanjay D'Souza writes:
> > > [...]
> > > - A curved track is 46 studs in length
> > > [...]
> >
> > I get 43.98... What value are you using for as a radius in the
> > computation?
>
> I read somewhere that the curved was 36cm's long. With each stud being
> about 7.8mm (7.8mm x 32 = 250cm (same size as a straight track)), therefore
> 46 studs = 36 cms.
Well, the curved monorail tracks aren't actually perfect circle segments,
because the stanchion holes in the middle don't fit into an irrational point
on the lattice, but they're not so far deformed from a perfect circle as to
give a value of 36cm for the axial length.
Try this: Using a 32x32 baseplate, measure the axial radius of a segment of
curved track. (It's exactly a whole number of studs.) Now multiply that by
2*pi to get the axial circumference of a circular rail circuit. Now divide
that by 4 to get the axial length of the curved track. What do you get?
(Also figure that the inner axial radius is about 1 stud less than the outer
axial radius -- because there are teeth on both sides of the rail. So the
monorail engine actually travels faster along curved track in one direction
than the other. :-)
--Todd
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In lugnet.town, Todd Lehman writes:
> [...] So the monorail engine actually travels faster along curved track in
> one direction than the other. :-)
Urrp, I misspoke. Not quite -- not the way the monorail engine reverses
direction. It depends which way you place the engine onto the track -- the
gold teeth on the motor on one side or the other of the rail.
--Todd
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I'd say forget the math and find the guy who did that elaborate pneumatics
test with Mindstorms. He'd probably tell you to create a car that housed the
RIS and hook the rotation sensor up to a wheel that rested on the track.
Then you could keep track of speed and distance, reverse the direction on a
whim, etc.
I wouldn't really do this because I would be afraid the thing would fall off
the track but under supervised conditions it would definitely work.
-Nick
Todd Lehman wrote in message ...
> In lugnet.town, Sanjay D'Souza writes:
> > Todd Lehman wrote in message ...
> > > In lugnet.town, Sanjay D'Souza writes:
> > > > [...]
> > > > - A curved track is 46 studs in length
> > > > [...]
> > >
> > > I get 43.98... What value are you using for as a radius in the
> > > computation?
> >
> > I read somewhere that the curved was 36cm's long. With each stud being
> > about 7.8mm (7.8mm x 32 = 250cm (same size as a straight track)), • therefore
> > 46 studs = 36 cms.
>
> Well, the curved monorail tracks aren't actually perfect circle segments,
> because the stanchion holes in the middle don't fit into an irrational • point
> on the lattice, but they're not so far deformed from a perfect circle as to
> give a value of 36cm for the axial length.
>
> Try this: Using a 32x32 baseplate, measure the axial radius of a segment • of
> curved track. (It's exactly a whole number of studs.) Now multiply that • by
> 2*pi to get the axial circumference of a circular rail circuit. Now divide
> that by 4 to get the axial length of the curved track. What do you get?
>
> (Also figure that the inner axial radius is about 1 stud less than the • outer
> axial radius -- because there are teeth on both sides of the rail. So the
> monorail engine actually travels faster along curved track in one direction
> than the other. :-)
>
> --Todd
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