Momentum and continuity equation

AI Thread Summary
The discussion revolves around solving a fluid dynamics problem involving the continuity equation and Bernoulli's equation. The user has calculated velocities v1 and v2 as 0.764 m/s and 8.475 m/s, respectively, but is uncertain about the next steps. They are advised to utilize all three relevant equations: the continuity equation for flow rates, Bernoulli's equation for pressure relationships, and the momentum equation for forces. The problem is part of a revision exercise using old exam questions, not a take-home exam. Proper application of these equations will lead to the correct solution.
andyb1990
Messages
33
Reaction score
0

Homework Statement



Follow the link to see the question,

http://img507.imageshack.us/img507/2246/fluidquestion.png

Homework Equations





The Attempt at a Solution



currently I can't do part a) but from using part a) I can obtain the forces acting on the cone by using the first part of the equation (ρQ^2/2*A2) and then the force acting on the nozzle by using all of the equation,

for part a) I currently have used the continuity equation to work out what v1 and v2

v1= 0.764 m/s and v2= 8.475 m/s

then I am stuck as what to do with bernoulli's equation if that is the correct next step?
 
Last edited by a moderator:
Physics news on Phys.org
andyb1990 said:

Homework Statement



Follow the link to see the question,

http://img507.imageshack.us/img507/2246/fluidquestion.png

Homework Equations





The Attempt at a Solution



currently I can't do part a) but from using part a) I can obtain the forces acting on the cone by using the first part of the equation (ρQ^2/2*A2) and then the force acting on the nozzle by using all of the equation,

for part a) I currently have used the continuity equation to work out what v1 and v2

v1= 0.764 m/s and v2= 8.475 m/s

then I am stuck as what to do with bernoulli's equation if that is the correct next step?

Is this question from a take-home exam?
 
Last edited by a moderator:
no, They are old exam questions to help us revise.
 
Hint:

You have 3 equations to work with.

1. Continuity equation relates velocities to flow Q.
2. Bernoulli's equation relates velocities to pressure.
3. Momentum equation relates velocities to pressure force and bolt force.

Use all three and you will get the posted answer.
 
Back
Top