
Calculating curved slot's length on a cylinder  
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Posted by: riviron ^{®} 04/04/2008, 10:52:56 Author Profile eMail author Edit 
Hello, I am trying to figure out the length of a curved slot on one of our cylinders. I know the inner and outer diameter of cylinder, slot's length and width from the top view, degree of orientation of slot ends points. But I want to know the exact length of the curved slot along the outer surface of the cylinder. It is just like trying to calculate slot length on drill bits. But in my case the slot only runs for about 30 degrees. So if we were to take a drill bit and divide the oblong slot (360/30) the we will get exactly 12 equal sets of length. In my case since the slot does not run for 360 degrees let us say I just want to measure any one of the 30 degree oblong segment  what parameters do I need and what is the formula to calculate it. I think parameter needed are straight distance length and width from top view and outer diameter of the cylinder. I have those dimensions but do not know how to calculate it.

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: Calculating curved slot's length on a cylinder  
: Calculating curved slot's length on a cylinder  riviron  Post Reply  Top of thread  Forum 
Posted by: sneitzel ^{®} 04/04/2008, 17:51:52 Author Profile eMail author Edit 
If you have a machinery's available (mine's 27th edition, pg 1966), look up helix angle in the helical milling section. This may work for what you are looking for. Basically, if you have a helix that wraps around the cylinder 1 revolution, it can be unwrapped into a right triangle. One leg of the triangle is the circumference of the cylinder, the other leg (at a right angle) is the lead of the helix (distance advanced in 1 revolution of the helix), and the hypotenuse is the development of the helix (the straight line length of the helix). Simple math will give you the development, from there you can divide it into segments if necessary, in the case of a slot from 0 to 30 degrees along a 1 revolution helix. Hope this helps? 
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