A grinding ratio of 200 implies that the

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

Concept of Grinding Ratio:
In machining and grinding operations, the grinding ratio (usually denoted as G) is a standard parameter used to evaluate the efficiency of the grinding process. It is defined as the ratio of the volume of material removed from the workpiece to the volume of material lost by the grinding wheel due to wear.

Mathematically, the relationship is given by:

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

where:
• $V_w$ represents the volume of work material removed.
• $V_g$ represents the volume of grinding wheel wear.

Step-by-Step Derivation:
Given a grinding ratio ($G$) of 200, we substitute this value into the equation:

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

To determine the relationship of the wheel wear relative to the material removed, we rearrange the equation to express $V_g$ in terms of $V_w$:

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

By evaluating the fraction $\frac{1}{200}$, we obtain:

$$V_g=0.005\cdot V_w$$

This calculation proves that a grinding ratio of 200 implies that the grinding wheel wears exactly 0.005 times the volume of the material removed.