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Offline garben  
#1 Posted : 05 June 2023 18:08:32(UTC)
garben

United States   
Joined: 23/01/2013(UTC)
Posts: 127
Location: New York
Hello.

Ok, math/geometry was never my strong point.

Is there an easy way or formula to calculate the length of a piece of curved C track? Looking to calculate the distance a locomotive is running between point A and Point B.

For example, the Marklin 20172 straight is 171.7 mm long. I can handle that. But what about a curved C track piece, like the 24130 which has a radius of 360.mm?

Thanks!
Norbert
Offline French_Fabrice  
#2 Posted : 05 June 2023 18:19:24(UTC)
French_Fabrice

France   
Joined: 16/05/2011(UTC)
Posts: 1,475
Location: Lyon, France
Hello,

The formula to compute the length of a circle (circumference) is : PI * 2 * Radius.
In your case Radius is 360mm, and 30° = 1/12 of a circle ( a full circle is 360°)

So, length of a 24130 is : (3.14 * 2 * 360mm)/12 = 188.4 mm

Cheers
Fabrice
thanks 4 users liked this useful post by French_Fabrice
Offline Martti Mäntylä  
#3 Posted : 05 June 2023 18:35:03(UTC)
Martti Mäntylä

Finland   
Joined: 15/11/2018(UTC)
Posts: 396
Location: Uusimaa, Helsinki
Double entry, remove.
- Martti M.
Era III analog & digital (Rocrail, CAN Digital Bahn, Gleisbox/MS2, K83/K84), C & M tracks, some Spur 1
Offline garben  
#4 Posted : 05 June 2023 19:18:37(UTC)
garben

United States   
Joined: 23/01/2013(UTC)
Posts: 127
Location: New York
Originally Posted by: French_Fabrice Go to Quoted Post
Hello,

The formula to compute the diameter of a circle is : PI * 2 * Radius.
In your case Radius is 360mm, and 30° = 1/12 of a circle ( a full circle is 360°)

So, lenght of a 24130 is : (3.14 * 2 * 360mm)/12 = 188.4 mm

Cheers
Fabrice


Got it. So calculate the circumference of the particular track and divide that number by the number of pieces needed to make a complete circle.

I knew I should have paid better attention in school.

Thank you Fabrice!
thanks 1 user liked this useful post by garben
Offline French_Fabrice  
#5 Posted : 05 June 2023 20:39:52(UTC)
French_Fabrice

France   
Joined: 16/05/2011(UTC)
Posts: 1,475
Location: Lyon, France
Perfect !

Sorry, I wrote "to compute the diameter..." ! It was not the diameter, but the circumference !
Hopefully, you've correctly understood what I was meaning...
I've fixed my post.

Cheers
Fabrice
Offline revmox  
#6 Posted : 06 June 2023 08:06:38(UTC)
revmox

Australia   
Joined: 26/05/2021(UTC)
Posts: 146
Location: Australia, East Maitland, NSW
I use online calculators like the one below when designing 3D bits for my layout.

Load up the radius of the curve and the angle and hit calculate. This one defaults to measurements in feet but it is easy to select mm.

https://www.handymath.co...n/arc18.cgi?submit=Entry

Arc.jpg

Answer looks like this -

Arc 2.jpg
thanks 1 user liked this useful post by revmox
Offline garben  
#7 Posted : 06 June 2023 17:58:42(UTC)
garben

United States   
Joined: 23/01/2013(UTC)
Posts: 127
Location: New York
Originally Posted by: French_Fabrice Go to Quoted Post
Perfect !

Sorry, I wrote "to compute the diameter..." ! It was not the diameter, but the circumference !
Hopefully, you've correctly understood what I was meaning...
I've fixed my post.

Cheers
Fabrice


No worries, I knew what you meant. Thank you!
Offline garben  
#8 Posted : 06 June 2023 18:00:55(UTC)
garben

United States   
Joined: 23/01/2013(UTC)
Posts: 127
Location: New York
Originally Posted by: revmox Go to Quoted Post
I use online calculators like the one below when designing 3D bits for my layout.

Load up the radius of the curve and the angle and hit calculate. This one defaults to measurements in feet but it is easy to select mm.

https://www.handymath.co...n/arc18.cgi?submit=Entry

Arc.jpg

Answer looks like this -

Arc 2.jpg


Oh great, I will check these out.

Thanks revmax!
Offline aos  
#9 Posted : 12 June 2023 14:16:17(UTC)
aos

Scotland   
Joined: 03/08/2008(UTC)
Posts: 524
Location: Livingston, Scotland
Hi Norbert,
You can download a free version Wintrack 16.0
This will enable you to click on any C track component and then by clicking on each end, it will give you the exact length.
Very simple and handy to use.
Regards, Alan
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