(Solved): The diagram below depicts a typical cross section of a pitot static tube used to measure a fluid st ...

The diagram below depicts a typical cross section of a pitot static tube used to measure a fluid stream velocity (A) Redraw the above diagram and indicate on the diagram the locations of static and total pressure. - With the aid of your diagram explain what is meant by static and total pressure [7 Marks] (B) Starting with Bernoulli's equation and with the aid of your previously drawn diagram show that the freestream velocity measured by the pitot tube is given by \\[ v=\\sqrt{\\frac{2 \\Delta P}{\\rho}} \\] [13 Marks] (C) A pitot tube is inserted in an air flow (at STP) to measure the flow speed. The tube is inserted so that it points upstream into the flow and the pressure sensed by the tube is the stagnation pressure. The static pressure is measured at the same location in the flow, using a wall pressure tap. If the pressure difference is \\( 30 \\mathrm{~mm} \\) of mercury, determine the flow speed. [10 Marks] Note: \\( \\rho_{A}=1.225 \\mathrm{~kg} / \\mathrm{m}^{3} \\) and \\( \\rho_{M}=13600 \\mathrm{~kg} / \\mathrm{m}^{3} \\)