A grinding ratio of 200 implies that the

The correct answer is: grinding wheel wears 0.005 times the volume of the material removed

The grinding ratio, commonly denoted as $G$, is a standard measure of the efficiency of a grinding wheel in manufacturing and machining. It is defined as the ratio of the volume of material removed from the workpiece to the volume of wear on the grinding wheel:

$G=\frac{V_w}{V_g}$

where:
$V_w$ represents the volume of material removed from the workpiece.
$V_g$ represents the volume of wear of the grinding wheel.

Given in the problem, the grinding ratio $G=200$. Substituting this value into the definition gives:

$200=\frac{V_w}{V_g}$

To find the wheel wear ($V_g$) relative to the material removed ($V_w$), we rearrange the equation:

$V_g=\frac{V_w}{200}$

$V_g=0.005V_w$

Therefore, a grinding ratio of 200 implies that the grinding wheel wears exactly 0.005 times the volume of the material removed.