Force exerted by water in a U-shaped tube

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SUMMARY

The discussion centers on calculating the force exerted by water in a U-shaped tube, where water flows with a constant velocity (v) and flow rate (u). The derived formula for the force (F) exerted on the wall of the tube is confirmed as F = 2uv, based on the change in momentum. The relationship between momentum and force is established using the equation F = dp/dt, where dp represents the change in momentum over time.

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Homework Statement


In a U-shaped tube, water is flowing with velocity v. The flowing rate is u, and it's constant. What force does the water exert on the wall of the tube.

Homework Equations



F = dp/dt

u = m/t

The Attempt at a Solution


The change in momentum is
[itex]mv - (-mv)[/itex]

or

[itex]2uv \Delta t[/itex]

so

[itex]F = 2uv[/itex]

is this correct?
 
Last edited:
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Yes, that's correct.
 
Thanks a lot !:biggrin:
 

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