(a) Using Bernoulli's equation, show that the measured fluid speed v for a pitot tube, like the 1/2 one in Figure 12.7(b), is given by  where h is the height of the manometer fluid, ρ' is the density of the manometer fluid, ρ is the density of the moving fluid, and g is the acceleration due to gravity. (Note that v is indeed proportional to the square root of h, as stated in the text.) 

(b) Calculate v for moving air if a mercury manometer's h is 0.200 m.

Data given in figure 12.7

= (20' gh) V= 1/2