Question

the mean sustained wind velocity, \\(v\\), can 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. what is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

103 millibars
194 millibars
363 millibars
910 millibars

Explanation:

Substitute the given wind velocity

Using the Solving Radical Equations knowledge point

$$ 64 = 6.3\sqrt{1013 - p} $$

Isolate the radical expression

Using the Solving Radical Equations knowledge point

$$
LATEXBLOCK0
$$

Square both sides of the equation

Using the Solving Radical Equations knowledge point

$$
LATEXBLOCK1
$$

Solve for the air pressure p

Using the Solving Radical Equations knowledge point

$$
LATEXBLOCK2
$$

Answer:

• 103 millibars
• 194 millibars
• 363 millibars
• 910 millibars (Correct answer)