If the roughness value is known based on the nose radius R and the type of chip being removed, the feed rate per revolution can be found.
By expressing this relationship as a formula, the feed rate can also be approximately calculated.
Also, if the feed rate and surface quality are known, the nose radius that needs to be given to the tool can be found.

Effect of Cutting Speed
Higher cutting speeds generally help produce a smoother surface, but can increase tool wear.
Relationship with Feed Rate
Increasing the feed rate is one of the most direct factors that increases surface roughness.
Tool Nose Radius
A larger nose radius on the cutting tool theoretically provides lower surface roughness values.
Related Questions
As the feed rate increases, the tool covers a greater distance per revolution, leaving deeper, more pronounced marks. These coarser marks make the surface appear, and measure, rougher.
A larger nose radius blends successive cutting marks together more gently and reduces the peak-to-valley difference between them. This smoother transition shows up, both visually and in measurement, as a lower roughness value.
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