Bernoulli Equation: Finding t_fall Expression

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SUMMARY

The discussion centers on deriving the expression for the time of fall (t_fall) using the Bernoulli Equation and principles of projectile motion. The user initially confuses the application of Bernoulli's Equation with the calculation of t_fall, which is ultimately determined to be t=sqrt(2h/g). The exit velocity (V_o) is correctly calculated using Bernoulli's Equation as V_o=sqrt(2g(H-h)). The conversation clarifies that once V_o is established, the problem simplifies to basic projectile motion principles.

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  • Understanding of Bernoulli's Equation and its application
  • Knowledge of basic kinematics and projectile motion
  • Familiarity with gravitational acceleration (g)
  • Ability to manipulate algebraic expressions for solving equations
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Students in physics or engineering courses, educators teaching fluid dynamics and kinematics, and anyone interested in applying the Bernoulli Equation to solve practical problems in motion.

Saladsamurai
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Homework Statement



Picture3-16.png

Homework Equations



X=Vo*tfall

Bernoulli Eq: \frac {p}{\rho}+\frac{V^2}{2}+gz=const

I used B.E. to find an expression for the velocity of the exit jet:

V_o=\sqrt{2g(H-h)}

For some reason I am confused as to how to find an expression for t_fall ?

I know it should be easy, but I am under the impression I am supposed to use the B.E. to find it...

Any hints?
 
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Saladsamurai said:
I know it should be easy, but I am under the impression I am supposed to use the B.E. to find it...
That's not how I read the problem. You've used B.E. to find V0. The rest is just projectile motion.
 
Doc Al said:
That's not how I read the problem. You've used B.E. to find V0. The rest is just projectile motion.

Oh. Easy Enough then :smile:

Thanks again Doc!

t=sqrt(2h/g)
 

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