Answer
As wind velocity doubles, destruction power of the hurricane increases four times.
Work Step by Step
Variation formulas are the formulas that define the relation between two quantities.
The pressure p of wind directly varies as the square of the velocity v of wind in a hurricane.
Thus,
$p=k{{v}^{2}}$
Now, if wind speed doubles then it becomes $2v$ and the pressure of destruction by hurricane is as given below:
$\begin{align}
& p=k{{\left( 2v \right)}^{2}} \\
& =4k{{v}^{2}}
\end{align}$
This means that as soon as wind velocity doubles, destruction power of the hurricane increases four times.
