A small metallic sphere of diameter 2 mm and density $10.5 ext{ }g/{cm}^{3}$ is dropped in glycerin

Question

A small metallic sphere of diameter 2 mm and density $10.5\text{ }g/{cm}^{3}$ is dropped in glycerine having viscosity 10 Poise and density $1.5\text{ }g/{cm}^{3}$ respectively. The terminal velocity attained by the sphere is $\_\_\_\_$ $cm/s$.

( $\pi = \frac{22}{7}$ and $g = 10\text{ }m/s^{2}$ )

Accepted Answer

$V_{T} = \frac{2r^{2}	ext{ }g}{9\eta}\left( ho_{b} - ho_{\mathcal{l}} ight)$$$V_{T} = \frac{2}{9}\frac{(.1)^{2} 	imes 10}{(10)}(10.5 - 1.5) $$$V_{T} = 2	ext{ }cm/sec$.

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