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THEMA: CRITICAL SLOPE=? Degrees(°) vs Percents(%)

THEMA: CRITICAL SLOPE=? Degrees(°) vs Percents(%)
Startbeitrag
Vadim - 09.10.09 15:45
Topic: CRITICAL SLOPE=?  Degrees(°) vs Percents(%)

Who think about  "which is the relations between Degrees and Percents of slope? "

I mean this approximation is true at small angles:
:
PERCENT = (Pi/2)*(100%/90deg) * DEG = 1.74*DEG  

For example : 4 % slope = 2.3 deg. slope.

Is it right?

But what is recommended maximum angle for trains at layouts ?

Have you ever thought about it?

I remember, that someone  recommends on forumes that this value must be equal about "2"  but in DEGREES or in PERCENTS?

Namely, Is it  2 degrees or is it  2%?  

It is different things, and It is critical to do a mistake!!!

---
Vadim

Hello Vadim,

as far as I know a maximum of 2% is recommended, especially if it is supposed to look realistic. I'm working with a maximum of 2%.
I guess as long as the trains aren't too long (let's say american road train dimensions...) steeper grades (slopes) should be possible as well.

I hope this helps,

Jan
Thanks, Jan.

But which smallest radius recommended for good running trains without derailments?
And which smallest radius seems to be realistic?

---
Vadim
Dear Vadim,

the formula is wrong.

Persent means  X m high per 100m way.
2% = 2 / 100 = 0,02 or
4% = 4 / 100 = 0,04.
And now you need the tan-1. (I mean the invert-tangent)

deg = tan-1(0,02) = 1,14
deg = tan-1(0,04) = 2,29

Best regards
Frank L.
Well Frank,
you just verified that this approximation is usable, although I don't know why you would need it ...

Cheers, Thomas

Giving Your result from atangences and dividing it we obtain  almost the same proportional coeficient, which i got:  

2% / 1.14 = 1.754  
Yes, it's only approximation.

---
Vadim
Hello Thomas, hello Vadim,

Oh... sorry
I have understand... ups

Frank L.
All Ok. Dont worry.
I also had  but a more serious mistake:
Initially i payed small attention to NMRA and believed that max. slope must be 2 deg but not 2%.
Now i m  fully remaking my layout....

----
Vadim.


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