Calculate Fountain Power for a 28.8m Stream Using Bernoulli's Equation

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SUMMARY

The discussion focuses on calculating the power required to send a water stream 28.8 meters high using Bernoulli's Equation and related physics principles. The participants confirm the use of Bernoulli's Equation to derive pressure and subsequently work, using the formula work = pressure x volume. They emphasize the importance of calculating force and velocity, noting that the density of water (rho) is essential for determining pressure. The correct approach involves solving for force using mass and gravitational acceleration (9.8 m/s²) before calculating velocity.

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  • Understanding of Bernoulli's Equation
  • Knowledge of basic physics concepts such as force, pressure, and work
  • Familiarity with the density of water (rho)
  • Ability to manipulate algebraic equations
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  • Study the derivation of Bernoulli's Equation in fluid dynamics
  • Learn how to calculate pressure using the formula Pressure = Force / Area
  • Explore the relationship between work and power in physics
  • Investigate methods for calculating velocity from height using kinematic equations
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Students studying physics, particularly those focusing on fluid dynamics and mechanics, as well as educators seeking to enhance their understanding of power calculations in real-world applications.

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Homework Statement


A fountain sends a stream of water 28.8 m up into the air. The acceleration of gravity is 9.8. IF the base of the stream is 4.38 cm in diameter, what power is required to send the water to this height?


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The Attempt at a Solution



I was thinking maybe using bernoulli's equation to find the pressure and plug into to the formula work=pressure x volume. Then plug the answer for work into power=work/delta t.

Then i was thinking how do u find the time.. so i used the equation t= the square root of 2gh.

Is my though process correct? Any hints?? tHANKS IN ADVANCE
 
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work=pressure x volume

i believe work = pressure * velocity
are u sure u need to find the time
 
Power = Force * Velocity as well =).

You have the right idea though that you would be using an equation where you get a square root of 2g(delta y). But the problem is that your equation isn't solving for time! Think about what you need =).

Pressure = Force / Area; use basic algebra to solve for Force. But problem, you don't have the pressure =). Solve for it.

You know the "rho" of water (density). There's an equation to get a pressure =).
 
Last edited:
I solved for the Force by finding the mass and multiplying it by 9.8. Now I'm having trouble finding the velocity
 

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