Question

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?

Answer 1

The Answer is D. 910 millibars

Answer 2

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
Answer:
The approximate air pressure at the center of a hurricane is:
p = 909.8002016 milibars