Question
In a hurricane, the wind pressure varies directly as the square of the wind velocity. If wind pressure is a measure of a hurricane’s destructive capacity, what happens to this destructive power when the wind speed doubles?
Do you have an equation to prove if this makes sense of not?
Do you have an equation to prove if this makes sense of not?
Answers
Steve
p = kv^2
so, if v is replaced by 2v, then p becomes
k(2v)^2 = k*4v^2 = 4kv^2 = 4p
So, p grows by a factor of 4. Makes sense, since p grows as v^2.
so, if v is replaced by 2v, then p becomes
k(2v)^2 = k*4v^2 = 4kv^2 = 4p
So, p grows by a factor of 4. Makes sense, since p grows as v^2.