Problem 1.337

When a sphere of radius $r_{1}=1.2 \mathrm{~mm}$ moves in glycerin, the laminar flow is observed if the velocity of the sphere does not exceed $v_{1}=23 \mathrm{~cm} / \mathrm{s}$. At what minimum velocity $v_{2}$ of a sphere of radius $r_{2}=5.5 \mathrm{~cm}$ will the flow in water become turbulent? The viscosities of glycerin and water are equal to $\eta_{1}=13.9 \mathrm{P}$ and $\eta_{2}$ $=0.011 \mathrm{P}$ respectively.