Shrinking of Human Beings

Let us consider shrinking the body size by a factor of 10. The weight of the body will decrease by a factor of 10. In order to support this weight, the diameter of the bone has to be reduced to a comparable factor. The weight of the body should be balanced by the maximum stress limit (c) of the bone as 

For a given material, a is constant. Therefore, the diameter d of the supporting material, that is, bone, can be estimated based on the above-mentioned equation as 

Therefore, the diameter of the bone has to decrease by a factor upto 10 / 3.16 x 10 .  

the diameter of the legs should be comparatively much smaller than the size. For such a 

1 Based on the scale analysis, estimate the ratio of surface force to volume force for a reservoir of 1 pm volume with that of 1 mm volume. 

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