Question

The mean sustained wind velocity, v, can be determined by the equation v = 6.3 StartRoot 1013 minus p EndRoot, 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

D

Explanation:

Answer 2

909.8 millibars.

Explanation:

The mean sustained velocity, v be determined by the equation:

`v=6.3√(1013-p)`, where p is the air pressure, in millibars, at the center of the hurricane.

Given that: v=64 meters per second, we are to find the value of p.

`64=6.3√(1013-p)\\$Square both sides to eliminate the square root sign\\(64)^2=(6.3√(1013-p))^2\\4096=39.69(1013-p)\\$Divide both sides by 39.69$\\(4096)/(39.69)=1013-p\\ $Therefore:$\\p=1013-(4096)/(39.69)\\\\p=909.8$ millibars`

The approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second is 909.8 millibars.