Posted by Zan on 27/04/2021 19:06:00:
Sod, interesting. … the rpm=. 10000/ cutter dia gives 1666 rpm, the presto data for slot drills gives 1592 rpm – very close. – with a feed of 0.023 mm per rev but only 73 mm/min . So your figures give a very good speed basis
for a 10 mm cutter, yours, = 1000 rpm, presto 955 Feed 92mm/min So your easy calculation is sound, but gives a speed just a bit too high
…
rpm = 10000 / cutter dia(mm) is more scientific than it looks. The approximation works thus:
Cutting speed = Circumference x rpm
∴ Cutting speed = π x diameter x rpm
∴ RPM = Cutting Speed / π x diameter
The magic! It happens that a sensible a sensible cutting speed for for mild steel is about 30 metres per minute, so in millimetres:
RPM = 30 * 1000 / π x diameter
∴ RPM = 30000 / 3.14 x diameter
By making π = 3, the sum simplifies via
RPM = 30000 / 3 x diameter
to:
RPM = 10000 / diameter
This is 'good enough' for most purposes.
Next stage is to notice from the graph mentioned above that Aluminium cuts about 4x faster than mild-steel, Brass about 2x faster, Cast Iron, Medium Carbon Steel & Bronze about 20% slower, and harder steels cut at about 1/3rd the speed of mild-steel. Again, applying the correction for other metals as a multiplier produces an RPM reasonably close to the book answer.
Much easier to remember than to look up surface feet per minute and plough through the maths properly especially as practical cutting speeds depend so much on the machine and it's condition. As the working range of cutting speeds is bigger than the mathematical error caused by the approximation, 10000/dia is a quick off the cuff way of getting close without a lot of faff.
Dave plowing throu
Edited By SillyOldDuffer on 28/04/2021 11:48:17