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International Baccalaureatte | Maths SL
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The equation of dynamic pressure is given in the question and you could see there's a correlation between dynamic pressure and velocity, more specifically it's a r^2 correlation.
If we are to compare the dyanamic pressure of the faster fluid : slower fluid, the eqn will be as follows:
1/2 * n* (1.5v)^2 : 1/2 * n * v^2
Since they are the same fluid, n would be the same in both cases. By simplifying, you will get
1.5^2 : 1
9/4 : 1
9 : 4
See 1 Answer
In this case, the only variable is v which has a power of 2.
Hence, the ratio will have to be squared.