Determine the speed of sound in air at 700 K. Also determine the Mach number of an aircraft moving in the air at a velocity of 340 m/s. The gas constant of air is R = 0.287 kJ/kg·K. Its specific heat ratio at room temperature is k = 1.4. The speed of sound in air at 700 K is m/s. The Mach number of the aircraft is.

Question

Physics

Gunner Mays

1 June, 23:31

Determine the speed of sound in air at 700 K. Also determine the Mach number of an aircraft moving in the air at a velocity of 340 m/s. The gas constant of air is R = 0.287 kJ/kg·K. Its specific heat ratio at room temperature is k = 1.4. The speed of sound in air at 700 K is m/s. The Mach number of the aircraft is.

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Elvis Campos · Answer 1

The speed of sound in air at 700K is 16.8m/s

The Mach number of the aircraft is 20

Explanation:

Speed of sound in air = sqrt (kRT) = sqrt (1.4*0.287*700) = sqrt (281.26) = 16.8m/s

Mach number = velocity of air : speed of sound in air = 340m/s : 16.8m/s = 20 (to the nearest whole number)