 Joined: 23/01/2013(UTC) Posts: 161 Location: New York
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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 |
Marklin HO, CS3+, Train Controller 10 Gold, Any era. Like Swiss Locomotives. |
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 Joined: 16/05/2011(UTC) Posts: 1,489 Location: Lyon, France
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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
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 4 users liked this useful post by French_Fabrice
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 Joined: 15/11/2018(UTC) Posts: 431 Location: Uusimaa, Helsinki
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- Martti M.
Era III analog & digital (Rocrail, CAN Digital Bahn, Gleisbox/MS2, K83/K84), C & M tracks, some Spur 1 |
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Joined: 23/01/2013(UTC) Posts: 161 Location: New York
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Originally Posted by: French_Fabrice  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! |
Marklin HO, CS3+, Train Controller 10 Gold, Any era. Like Swiss Locomotives. |
1 user liked this useful post by garben
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Joined: 16/05/2011(UTC) Posts: 1,489 Location: Lyon, France
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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
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 Joined: 26/05/2021(UTC) Posts: 198 Location: Australia, East Maitland, NSW
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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 Answer looks like this - 
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1 user liked this useful post by revmox
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Joined: 23/01/2013(UTC) Posts: 161 Location: New York
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Originally Posted by: French_Fabrice 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! |
Marklin HO, CS3+, Train Controller 10 Gold, Any era. Like Swiss Locomotives. |
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Joined: 23/01/2013(UTC) Posts: 161 Location: New York
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Originally Posted by: revmox 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=EntryAnswer looks like this - Oh great, I will check these out. Thanks revmax! |
Marklin HO, CS3+, Train Controller 10 Gold, Any era. Like Swiss Locomotives. |
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 Joined: 03/08/2008(UTC) Posts: 526 Location: Salisbury
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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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