How Does Bernoulli's Principle Apply to Fluid Flow in Pipes?

AI Thread Summary
Bernoulli's Principle is applied to analyze fluid flow in pipes, particularly in the context of a water tank with varying pipe diameters and heights. The inlet pipe has a smaller diameter and a higher pressure, resulting in a calculated outlet velocity of 4.943 m/s. To determine the gauge pressure in the outlet pipe, Bernoulli's equation can be utilized, considering factors such as pipe diameter, height difference, and flow rate. The discussion emphasizes the importance of understanding fluid dynamics equations to solve for pressures and velocities in different sections of a system. Proper application of these principles is crucial for accurate calculations in fluid mechanics.
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Homework Statement



A large water tank has an inlet pipe and an outlet pipe. The inlet pipe has a diameter of 1.89 cm and is 1.29 m above the bottom of the tank. The outlet pipe has a diameter of 5.47 cm and is 4.25 m above the bottom of the tank. A volume of 0.697 m3 of water enters the tank every minute at a gauge pressure of 1 atm.

a) What is the velocity of the water in the outlet pipe?
4.943 m/s

b)What is the gauge pressure in the outlet pipe?

Homework Equations





The Attempt at a Solution



a) What is the velocity of the water in the outlet pipe?
4.943 m/s

I found this part but i don't know how to do the second part.Please help me.
 
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brv said:

Homework Statement



A large water tank has an inlet pipe and an outlet pipe. The inlet pipe has a diameter of 1.89 cm and is 1.29 m above the bottom of the tank. The outlet pipe has a diameter of 5.47 cm and is 4.25 m above the bottom of the tank. A volume of 0.697 m3 of water enters the tank every minute at a gauge pressure of 1 atm.

a) What is the velocity of the water in the outlet pipe?
4.943 m/s

b)What is the gauge pressure in the outlet pipe?

Homework Equations




The Attempt at a Solution



a) What is the velocity of the water in the outlet pipe?
4.943 m/s

I found this part but i don't know how to do the second part.Please help me.

What equation is commonly used in fluid dynamics questions?
 

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