Question

Please helP!! I don't know how to do this!! 13pts

The dynamic pressure q generated by a fluid moving with velocity v can be found using the formula above, where n is the constant density of the fluid. An aeronautical engineer uses the formula to find the dynamic pressure of a fluid moving with velocity v and the same fluid moving with velocity 1.5v. What is the ratio of the dynamic pressure of the faster fluid to the dynamic pressure of the slower fluid?

Answer 1

Let
`q_1` be the dynamic pressure of the faster fluid and
`q_2` be the dynamic pressure of the slowest fluid.

According to the exercise, we can say that
`v_1=1.5v_2` which means :
`(v_1)/(v_2)=1.5` .

Now we have :

`(q_1)/(q_2)=(1/2nv_1^2)/(1/2nv_2^2)=\left((v_1)/(v_2)\right)^2=1.5^2=2.25`