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GATE 2021 ME (ME2) – Question 33

Fluid Mechanics · One-dimensional compressible flow, nozzles · 1 mark · Numerical answer

An object is moving with a Mach number of 0.6 in an ideal gas environment, which is at a temperature of 350 K. The gas constant is 320 J/kg.K and ratio of specific heats is 1.3. The speed of object is _____ m/s (round off to the nearest integer).

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Correct answer: 229

Explanation

Sound speed is $a=\sqrt{\gamma RT}=\sqrt{1.3(320)(350)}=381.576$ m/s. Object speed is Mach number times sound speed.

Therefore V=0.6 a=228.9454 m/s, rounded to **229 m/s**.