Anyhow, on to the math: Anti-rollbacks seemed to be spaced between 4-6" apart, so for the sake of this discussion, we'll say 5". Since the listed HEIGHT in rcdb says 125', my programmer Pythagoras tells me that means (at an approximated 40 degree lift angle), the the track LENGTH of the lift is (app.) 195'. At 5" spacing, this gives us a total number of....468 anti-rollbacks...give or take...;)
a) you are probably correct about the lift being more "shallow" than 40 degrees....but that would have a relatively minor impact on the track length of the lift...
b) the lift starts several feet above the ground, which helps offset a), and brings us back closer to the original estimate....
c) I probably have too much free time...and...
d) we're at least keeping the ARN&R crew entertained with this (pointless) discussion...this thread is referenced on the left-mand side of the page, under "Math Dorks", or something...:)
*** Edited 2/12/2004 7:50:24 PM UTC by rollergator***
Assumptions:
Lift height = 200ft
Anti-Rollback spacing = 1/0.5ft
Lift angle = 30 degrees (chosen to simplify working with the numbers)
Now, the length of the lift is L = 200ft / sin 30 (the sine of 30 degrees being 0.5 - this is why I chose 30), so the length is 400ft. With an anti-rollback spaced every 0.5 ft, there should be 800 clicks per anti-rollback dog on the train. Let's say that each train has 3 dogs, so that brings the total number of clicks to about 2000.
That took me all of 15 sec to do in my head and I gaurantee the result is no less accurate than the three significant-figure results that you all spent way too much time calculating.
You must be logged in to post