Problem 2. a) The flow metering device shown in figure 3 consists of a stagnation probe at station 2 and a static pressure tap at station 1. The velocity at station 2 is twice that at station 1. Air with a density of 1.2 kg/m3 flows through the duct. A water manometer is connected between the stag- nation probe and the pressure tap, and a deflection of 10 cm is measured. What is the velocity at station 2? Vertical 10 cm Water Figure 3: Figure for problem 2(a). b) The velocity in the outlet pipe from the reservoir shown in figure 4, is 6 m/s and h = 15 m. Because of the rounded entrance to the pipe, the flow is assumed to be irrotational. Under these conditions, what is the pressure at A. Water Figure 4: Figure for problem 2(b). c) The hypothetical water velocity in a V-shaped channel (shown in figure 5) varies linearly with depth from zero at the bottom to maximum at the water surface. Determine the volumetric flow