A glider carries a Pitot-static tube aligned with the oncoming air

PHYSICS · Subjective · Fermi University Physics · Fluids & Continuum Physics · Kinematics, conservation laws and ideal flow · Kinematics, conservation laws and ideal flow

Fluids and Continuum Physics, Ch Bernoulli at work: Venturi meters, Pitot tubes and lift

Problem

A glider carries a Pitot-static tube aligned with the oncoming air. The gauge between the facing hole and the flush static holes reads a difference of 1.51.5 kPa. The air density at the glider's altitude is 1.11.1 kg m−3^{-3}. Treat the air as incompressible at this speed and the flow as steady and inviscid, so that Bernoulli's theorem may be applied along the streamline that ends on the nose of the tube. What is the glider's speed through the air?

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