Calculating Momentum of a High-Velocity Water Jet?

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Homework Help Overview

The problem involves calculating the momentum of a high-velocity water jet, given its diameter, velocity, and density. The context is fluid dynamics, specifically focusing on momentum calculations in a flowing medium.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the concept of treating the water jet as a cylinder to determine the volume of water passing per second. Questions arise about the application of momentum formulas and the relationship between mass, velocity, and momentum.

Discussion Status

Some participants have provided guidance on how to approach the problem by considering the volume of water and its relationship to momentum. There is an ongoing exploration of the calculations involved, with one participant expressing uncertainty about the steps taken.

Contextual Notes

Participants note the need for clarity on the formula for momentum and the importance of showing attempts at solutions to facilitate discussion. There is an acknowledgment of the original poster's confusion and the need for further clarification on specific steps in the calculation process.

ar202
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Homework Statement



A jet of water has a diameter of 30mm and a velocity of 40m/s. Determine the momentum/sec of the water. (Take p to be 10000kg/m3)


this is my first post, apologies if i have missed anything out...
 
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You need to show us some attempt at a solution, and tell us what exactly it is you don't understand, before we can help you?
Do you know the formula for momentum?
 
Ah ok, to be honest I'm fairly lost. Most of the problems I've encountered so far have been to do with impact m1u1+m2u2=(m1+m1)v etc...

i'm not exactly looking for the answer, but perhaps a nod in the right direction :-)
 
If you think of the jet of water as a cylinder of water, what volume of water passes in one second? You have the radius/diameter of the end and you know how long the cylinder is from the speed of the jet.
 
Stonebridge said:
If you think of the jet of water as a cylinder of water, what volume of water passes in one second? You have the radius/diameter of the end and you know how long the cylinder is from the speed of the jet.

Yeah i thought of it that way but then hit a wall...

so the volume is pi*0.015^2*40 = 0.0283m^3 * 1000 = 28.3kg

then is it 28.3 * 40 to get 1132kgms-1 ? is there another step I'm missing?
 
ar202 said:
Yeah i thought of it that way but then hit a wall...

so the volume is pi*0.015^2*40 = 0.0283m^3 * 1000 = 28.3kg

then is it 28.3 * 40 to get 1132kgms-1 ? is there another step I'm missing?

That's it. That is the "mv" in one second.
Well done.
 
Stonebridge said:
That's it. That is the "mv" in one second.
Well done.

thanks for your help dude
 

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