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Ram rise against Mach number in air at 250 K.

Mach numberRam factorRise (K)
0.21.0082
0.41.0328
0.61.07218
0.81.12832

What does the pattern in the last column show?

  • A.The rise grows linearly with Mach number
  • B.The rise is independent of Mach number
  • C.The rise falls at high Mach number
  • D.The rise grows with the square of Mach number

Answer: D

Correct answer: The rise grows with the square of Mach number

Read the last column against the Mach numbers: doubling from 0.2 to 0.4 takes the rise from 2 K to 8 K, a factor of four, and doubling again to 0.8 takes it to 32 K, another factor of four. That is the signature of a square law, and it follows directly from the relation \( \Delta T = 0.2M^2T_s \).

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