An aircraft uses a Pitot-static system to measure its speed relative to the…

PHYSICS · Multi-part · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

An aircraft uses a Pitot-static system to measure its speed relative to the surrounding air. The instrument registers a total (stagnation) pressure of 1.20×105 Pa1.20 \times 10^5\,\text{Pa}, while the ambient static pressure is 1.01×105 Pa1.01 \times 10^5\,\text{Pa}. The temperature is such that the air density may be taken as 1.2 kg/m31.2\,\text{kg/m}^3. Assume compressibility effects are negligible at the measured speed. (a) Calculate the speed of the aircraft relative to the air. (b) Express this speed in miles per hour (1 mi=1.61 km1\,\text{mi} = 1.61\,\text{km}). (c) Briefly describe how the measured pressure difference relates to the kinetic energy of the airflow around the Pitot tube.

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