A liquid (viscosity \(=0.002 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}^{2}\); density \(=1000 \mathrm{~kg} / \mathrm{m}^{3}\) ) is forced through the circular tube shown in Fig. P6.93. A differential manometer is connected to the tube as shown to measure the pressure drop along the tube. When the differential reading, \(\Delta h\), is \(9 \mathrm{~mm}\), what is the mean velocity in the tube?

Figure P6.93

4 mm 2 m T 711 Density of gage fluid=2000 kg/m.