the mean sustained wind velocity, v, can be determined by the equation $v = 6.3sqrt{1013 - p}$, where p is…

the mean sustained wind velocity, v, can be determined by the equation $v = 6.3sqrt{1013 - p}$, 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?\n103 millibars\n194 millibars\n363 millibars\n910 millibars

the mean sustained wind velocity, v, can be determined by the equation $v = 6.3sqrt{1013 - p}$, 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?\n103 millibars\n194 millibars\n363 millibars\n910 millibars

Answer

Explanation:

Step1: Substitute given value of v

Given $v = 64$ and $v=6.3\sqrt{1013 - p}$, so $64 = 6.3\sqrt{1013 - p}$.

Step2: Isolate the square - root term

Divide both sides by 6.3: $\frac{64}{6.3}=\sqrt{1013 - p}$. So, $\sqrt{1013 - p}\approx10.1587$.

Step3: Square both sides

$(\sqrt{1013 - p})^2=(10.1587)^2$. Then $1013 - p\approx103.2$.

Step4: Solve for p

$p = 1013- 103.2$. So, $p\approx910$ millibars.

Answer:

910 millibars