How are velocity and pressure related in Bernoulli's equation?

  • Thread starter Thread starter senchamecad
  • Start date Start date
  • Tags Tags
    Pressure Velocity
AI Thread Summary
Velocity and pressure are inversely proportional in the context of Bernoulli's equation, which states that the sum of pressure energy, kinetic energy, and potential energy is constant. The equation P + 1/2pv^2 + pgh = constant illustrates this relationship, where an increase in velocity (v) leads to a decrease in pressure (P). While pressure is directly proportional to force and force to acceleration, the dynamics of fluid flow demonstrate that higher velocity results in lower pressure. Understanding this relationship is crucial for solving problems related to fluid dynamics. The discussion emphasizes the importance of Bernoulli's equation in analyzing the interplay between velocity and pressure.
senchamecad
Messages
1
Reaction score
0
can you pls tell how velocity and pressure both are inversly proportional with each other as both of them are needed to act force
 
Physics news on Phys.org
Lets take a general case.
P=F/A and F=ma.

So we know pressure is directly proportional to force and force is directly proportional to acceleration. Acceleration is the first derivative of Velocity, which means the higher the rate of change of velocity the higher the acceleration. So i don't think they are inversely porportinal. Sorry, but that's what seems logical to me. I do not think they are inversely proportional. Post the whole problem here, and that might help you out.
 
Hold on i just remembered. Are you talking about this in context of Bernoulli's equation? If so then yes they are inversely proportional.

P + 1/2pv^2+pgh=constant.

Try working around with the equation above and you'll get your answer.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Clarifying the Definition Total/Stagnation Pressure (p₀) in Bernoulli'
Replies
2
Views
883
What's the pressure long before the fluid exits a pipe?
Replies
13
Views
1K
How to calculate the velocity of water streaming into the boat?
Replies
19
Views
947
How does a difference in air pressure induce a force?
Replies
15
Views
2K
Bernoulli’s Equation and External Forces
Replies
4
Views
2K
Bernoulli equation / fluid flow / finding height
Replies
6
Views
3K
What does atmospheric pressure have to do with the gauge pressure?
Replies
3
Views
1K
What is the relationship between pressure and flow rate?
Replies
8
Views
4K
Sticky card Application of Bernoulli / Pressure incorrect?
Replies
4
Views
1K
How far will the bottom gate of a reservoir open?
2
Replies
56
Views
3K

Hot Threads

Recent Insights

Back
Top