A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
In bernoulli's THEOREM! large area has high pressure and low speed,where as the formula of pressure is P=F/A?
anonymous
 4 years ago
In bernoulli's THEOREM! large area has high pressure and low speed,where as the formula of pressure is P=F/A?

This Question is Closed

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.0Bernoulli's principle is a direct result of conservation of energy, and the formula for pressure you posted above.dw:1329419515359:dw Summing up the energy in the system we have\[E=K+U_g+W=\frac12mv^2+mgh+Fd\]subbing mass=density*volume, and distance=(volume)/(crosssectional area):\[E=\frac12\rho Vv^2+\rho Vgh+F(\frac VA)=\frac12\rho Vv^2+\rho Vgh+(\frac FA)V\]\[=\frac12\rho Vv^2+\rho Vgh+pV\]divide by rho V, and note that energy per unit volume is a constant for an incompressible fluid.\[\frac{v^2}2+gh+\frac p\rho=\text{constant}\]

Mani_Jha
 4 years ago
Best ResponseYou've already chosen the best response.2P=F/A is an equation of hydrostatics. That means, we use it only when the fluid is at rest. Try setting v=0 in the above equation, and u get the result that you would obtain from P=F/A. But due to motion, the pressure is less where velocity is more. This is because the fluid rushes out with a very high speed, creating a low pressure in that region where it leaves. Now, according to equation of continuity, the velocity is less where area is more(think that the fluid has a large room to move in). So, pressure there is more. This is not valid if the fluid is at rest.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.