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Effective Matching of Surface Roughness

Concerning the effective matching of surface roughness using a lathe, I have been asked to quantify Ra = C1* s^C2 v^C3 Re^C4, where Ra is surface roughness, s is feedrate, v is cutting velocity and Re is the nose radius of the tool.

I had performed an experiment to get the values of Ra for combinations of different v, s and Re. My problem is that I don't know how to use this data to define the constants in the relationship above. Can you tell me how to do this?

Solution Summary

The answers are found by using the least squares method, to compute approximate estimations of feedrate, velocity, and nose radius of the lathe tool.