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

Answer:

909.8 millibars.

Step-by-step explanation:

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

$v=6.3\sqrt{1013-p}$, 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.

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

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.

Answer 2

Answer:

D

Step-by-step explanation: