A Venturi meter measures fluid speed in a pipe. A constriction (of cross-sectional area A2) is put in a pipe of normal cross-sectional area A1 (A1 = 2A2). Two vertical tubes, open to the atmosphere, rise from two points, one of which is in the constriction. The vertical tubes function like manometers, enabling the pressure to be determined. From this information the flow speed of fluid in the pipe can be determined. Suppose that the pipe in question carries water and the fluid heights in the vertical tubes are h1 = 1.20 m and h2 = 0.80 m.
(a) Find the ratio of the flow speeds v2/v1.
(b) Find the gauge pressures P1 and P2.
(c) Find the flow speed v1 in the pipe.