# A pitot tube of an airplane which is flying at an standard sea level measures a pressure of \(1.09 \times 10^{5} N/m^{2}\). Find the velocity of the airplane.

Pitot tube: It is a flow measurement device which is used to measure the fluid flow velocity. It is used to determine the velocity of an aircraft.

Velocity is determined using the Bernoulli’s equation.Total pressure = static pressure + dynamic pressure \[p_{0}=p_{s} + \frac{1}{2}\rho V^{2}\]\[\Rightarrow V = \sqrt{\frac{2\left ( p_{0} – p_{s} \right )}{\rho }}\]Here,\[p_{0} = 1.09 \times 10^{5}\,N/m^{2}\]\[p_{s}=1.01 \times 10^{5}\, N/m^{2}\]\[\rho = 1.225\, kg/m^{3}\]Therefore,\[V=\sqrt{\frac{2\left ( 1.09\times 10^{5}-1.01\times 10^{5} \right )}{1.225}}=114.3\,m/s\]