8.6k views
1 vote
Q=12nv2

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 users 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?

2 Answers

6 votes

Answer:

The ratio is 2.25/1

Explanation:

Fluid 1

Q = 12 n v^2

Fluid 2

Q =12 n (1.5 v)^2

=12 n (2.25) v^2


Ratio of the faster fluid to the slower fluid

Fluid 2/Fluid 1

12 n (2.25) v^2

-----------------------

12 n v^2

Canceling 12 and n

(2.25) v^2

-----------------------

v^2

Canceling v^2

2.25

-------

1

The ratio is 2.25/1

User Ispas Claudiu
by
8.5k points
2 votes

Because V is raised to the second power in the original equation the velocity of the slower fluid is V^2.

The faster fluid is 1.5V, which when replaced in the equation becomes 1.5v^2.


The ratio would then be 1.5^2 which equals 2.25

User Simon Jackson
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories