A grindstone used in a grinding machine is of diameter 210 mm and is capable of being operated at 1200 rpm. What is the maximum grinding speed possible with this machine? (π = 22/7)

Concept:

Cutting speed of the grinding wheel is the relative peripheral speed of the wheel with respect to the workpiece.

It is expressed in meter per second (m/s). The cutting speed of the grinding wheel can be calculated as

\(V = \frac{{\pi DN}}{{60 \times 1000}}\)

D = diameter of the grinding wheel in mm, N = number of revolutions of the grinding wheel in rpm

Calculation:

Given:

D = 210 mm, N = 1200 rpm

\(V = \frac{{\pi DN}}{{60 \times 1000}} \)

\(\therefore V = \frac{{22 \times 210 \times 1200}}{{7\times 60 \times 1000}} = 13.2 ~m/s\)