- Joined
- Feb 17, 2013
- Messages
- 4,407
I'll beg to differ with you, Joshua. Effective July 1, 1959, the National Bureau of Standards defined the yard as being 0.9144 meter exactly.The approximation part comes in when an imperial thread is cut from a metric lead screw. This entire approximation is handled by the change gears. When you buy a lathe with an imperial lead screw, it can be made to cut "approximate" metric threads the same way the metric machine cuts approximate imperial threads.
http://www.ngs.noaa.gov/PUBS_LIB/FedRegister/FRdoc59-5442.pdf
Dividing it out, one inch comes out to 25.4mm exactly. 254 can be divided by 2, to get 127. That number is a prime, so it can't be divided further. Thus the use of a 127 tooth gear (generally paired with a 120 tooth gear) when you're making metric threads on an inch-based lathe. I've not looked at any lathes with a metric lead screws, but I wouldn't be surprised to see a 127 tooth gear somewhere in the mix (to be used when making inch threads).
So unless you're dealing with parts older than 1959, using a 127 tooth gear in an inch lathe will yield threads that match the part exactly.
That said, I've seen lathes that don't use the 127/120 tooth gear pair (which gives the exact ratio). There's 91/86 (giving 126.9767, 0.018% low), 80/63 (giving 126.9841, 0.012% low) and 47/37 (giving 127.0270, 0.021% high). These other ratios, which make use of smaller sized gears, are indeed approximations. But the errors are small enough that they'd be absolutely no problem for threaded fastener. The only time the error would affect anything would be if you were trying to make something like a leadscrew or a measuring instrument.
Last edited: