Awooden dowel has diameter of 1.2 cm . it floats in water with 0.4 cm of diameter above water determine density of watrer

The density of water will be 0.935 g/

Explanation:

It is sufficient to solve this as a 2D problem since the length of the dowel does not matter. Let p be the density of the dowel in g/cm^3, and take water density 1g/cm^{3}

The area of the whole circle is = 1.130

The angle from the center of the dowel to the two water line edges is

T = (2)arccos)

So the area exposed above water is sector minus triangle:

= 0.642 - 0.447

= 0.195

So, the weight of the dowel is balanced by the weight of water displaced:

1.130 p

= (1.130 - 0.195)

p = 0.935 g/

-4 on