The mean sustained wind velocity, v, can be determined by the equation v= 6.3 square root 1013-p , where p is the air pressure, in millibars, at the center of the hurricane. what is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

For this case the equation is given by:
 v = 6.3 * root (1013-p)
 Clearing p we have:
 root (1013-p) = v / 6.3
 1013-p = (v / 6.3) ^ 2
 p = 1013 - (v / 6.3) ^ 2
 Substituting values:
 p = 1013 - (64 / 6.3) ^ 2
 p = 909.8002016 milibars
 
 The approximate air pressure at the center of a hurricane is:
 p = 909.8002016 milibars

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