Bernoulli equation (self made diagram)

Click For Summary
SUMMARY

The discussion centers on applying Bernoulli's equation to determine the speed of an object as it exits a water pipe into a lake. The pressure in the pipe is 10 atm, and the lake's depth is 10 meters. The user seeks clarification on how to account for the height difference and the pressure at both ends of the pipe, specifically questioning the relationship between pressure, height, and velocity. The correct approach involves equating the pressure and kinetic energy terms from Bernoulli's equation to solve for the final velocity of the object.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with pressure units (atm to Pascal conversion)
  • Basic algebra for solving equations
NEXT STEPS
  • Review the derivation and applications of Bernoulli's equation
  • Study the conversion of pressure units from atm to Pascal
  • Learn about hydrostatic pressure and its effect on fluid flow
  • Explore examples of fluid flow with varying cross-sectional areas
USEFUL FOR

Students and professionals in physics, engineering, and fluid mechanics who need to apply Bernoulli's equation in practical scenarios involving fluid flow and pressure dynamics.

Kaxa2000
Messages
71
Reaction score
0
An object is accidentally dropped into a water pipe. Pressure applied to pipe is 10 atm. The depth of lake is 10m. What will be speed of object when it exits the pipe and first enters the lake? Assume that the object is carried along with the surrounding water and does not affect flow of water in any way. Neglect friction.

Diagram is in attachment

I know you have to use Bernoullis equation for this problem. The examples I've looked at usually have a different area at each end. This problem has apparently the same area at each end. Also I don't understand how to factor in the height included in the problem.
 

Attachments

  • pic.JPG
    pic.JPG
    11.1 KB · Views: 359
Physics news on Phys.org
.5*density *(0)2 + 0 + 10atm(convert) = constant

(.5)(density)(vf)2 + density(g)(y height) + 2atm

Would I set these equal and solve for vf??

What about the height of the lake and the height of the pipe?? Do those add more pressure??
 

Similar threads

Replies
7
Views
3K
  • · Replies 14 ·
Replies
14
Views
2K
Replies
3
Views
2K
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
10K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K