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Math Question

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Reading Topic #12827

Charter Member · 572 posts

If a pellet stockpile is 460 feet wide at the base, how high is it?Math Question – image 1Thanks,Bob

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RE: Math Question, wmalder, Dec-13-04, 08:58 PM, (1) RE: Math Question, pvoxland, Dec-13-04, 09:08 PM, (2) RE: Math Question, Baldwinbob, Dec-13-04, 09:27 PM, (3) RE: Math Question, DCRR1, Dec-13-04, 10:05 PM, (4) RE: Math Question, Baldwinbob, Dec-14-04, 09:18 PM, (5) RE: Math Question, pvoxland, Dec-15-04, 01:31 AM, (6)

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Member since May-2-03 · 88 posts

RE: Math Question

That's going to depend on its 'angle of repose'. Depending on the material it could be anywhere from under 30 degrees to greater than 45. If I had to hazard a guess it would be around 40 deg which would calculate out to something less than half the width. If I remember my high-school geometry the opposite over the adjacent of a triangle is the tangent. Assuming equal angles at both sides the base of the right angle triangle would equal 1/2 x 460.81 and the angle of 40 deg. height would = tan 40 x 1/2 x 460.81. I don't have a scientific calculator handy and I never memorized tan 40 so I'll leave it to you to finish the calculation.Good Luck (if I'm not completely wrong)Bill Alder

Resurrecting the KVR one pixel at a time.

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Charter Member · 182 posts

RE: Math Question

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Well, that depends upon the "natural angle of repose" for taconite pellets, which I surely don't know. But in general: "The angle of repose is the angle of which grains naturally form when piled on top of each other." -Sand is typically 32 to 34 degrees. So, for an angle of 33 degrees, the pile would be about 150 feet high, given by tangent(33 degrees)* 230' = 149.363'230' is half the width of the entire pile, and it is the base of a right triangle, for which the angle of the base and the 'hypotenuse' is guessed to be 33 degrees. From the angle and the known base, the the height can be calculated.By the same formula, if the angle is 45 degrees, the height would also be 230 feet, but I would guess that 45 degrees is too steep.

--- Phil Voxland

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Charter Member · 572 posts

RE: Math Question

Here's a picture that shows the angle pretty good. If I had a protractor (?) I could print the picture and find the angle??Math Question – image 2Thanks,Bob

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Member since Apr-17-03 · 218 posts

RE: Math Question

Bob:
Download; measure.zip, and; rulers.zip, from the library. Bothare pretty handy.John
In memory of:
CYNDI RICHARDS
1938 * 2004
You will always
be here with us.

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Charter Member · 572 posts

RE: Math Question

Well...I printed the picture, drew a couple lines and came up with a angle of 26 degrees.Did the tan thingie which gave me a height of 112 feet, I'll go with that.Thanks guys, BobPhil, are you on the dock yet?

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Charter Member · 182 posts

RE: Math Question

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LAST EDITED ON Dec-15-04 AT 01:31 AM (EST)

I think Bob is asking if my Duluth & Iron Range Rail Road route has made it to Two Harbors and the Ore Docks there. In fact, that is an area where I'm working now. Even in the 1920's it was already a large, complex yard, and so work goes slowly trying to create it virtually.

I'm finding it's necessary to simplify by eliminating tracks or switches. I keep an eye on the object counter for the main world tile, and with many tracks to go it's already around 800 objects. That's without any scenery in place. So I'll have to see how that works. Attached is a screen capture of the current work area, which shows almost nothing of interest. It was either add that or write another 1000 words.

--- Phil Voxland

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Math Question – image 3
http://www.train-sim.com/dcforum/User_files/41bfda0b74313125.jpg

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