Water Pressure Velocity Acceleration (dv/dt)

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SUMMARY

The discussion focuses on calculating the acceleration (dv/dt) of water discharged from a pipeline, where the velocity is defined by the equation v = 1192p^(1/2). Given that the pressure p changes at a rate of 404 psi/second, the acceleration is determined using the derivative v' = 596p^(-0.5). The correct application of the chain rule is essential for finding dv/dt when p = 34 psi.

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  • Knowledge of units of measurement, particularly psi (pounds per square inch).
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Steve Page
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I am having trouble solving this problem. Any assistance is greatly appreciated.

Water is discharged from a pipeline at a velocity of v given by v=1192p^(1/2), where p is the pressure (in psi). If the water pressure is changing at a rate of 404 psi/second, find the acceleration (dv/dt) of the water when p = 34 psi.

I have soved the v' to equal: 596p^(-.5).
Does dv/dt = 596^(-.5)/t for (dv/dt)?
What's the next step?
 
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Welcome to PF!

Hi! Steve Welcome to PF! :smile:

Use the chain rule :wink:
 
Thanks Tniy-Tim!
 

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