Glycerine is flowing in a small capillary of diameter \(0.25 \mathrm{~cm}\) and length \(30 \mathrm{~cm}\). For a pressure difference of 3 bars applied across the tube a flow rate of \(0.001 \mathrm{~m}^{3} / \mathrm{s}\) was obtained. Find the viscosity of the liquid using the Hagen-Poiseuille equation.If the density of glycerine is \(1260 \mathrm{~kg} / \mathrm{m}^{3}\), calculate the Reynolds number, \(R e\), and check whether the Hagen-Poiseuille equation is valid under the experimental conditions.