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Which relation connects surface stress to wind speed?

  • A.An inverse relation
  • B.A relation in which the stress depends only upon the roughness of the surface and not upon the wind at all
  • C.A drag coefficient multiplying the square of the wind speed
  • D.A linear relation in which the stress is directly proportional to the wind speed at the reference height above

Answer: C

The bulk aerodynamic formula writes the stress as the density times a drag coefficient times the square of the wind speed at a reference height, usually ten metres. The drag coefficient depends on roughness and on stability, and over the ocean it depends on the wind speed itself because the waves grow with it. Squaring the wind means that a doubling of the speed quadruples the stress, which is why storm surges and wave heights respond so sharply to increases in wind.

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