Calculating Momentum of a High-Velocity Water Jet?

AI Thread Summary
To calculate the momentum of a high-velocity water jet with a diameter of 30mm and a velocity of 40m/s, the volume of water passing through in one second is determined using the formula for the volume of a cylinder. The volume is calculated as approximately 0.0283m³, which corresponds to a mass of 28.3kg when multiplied by the water density of 1000kg/m³. The momentum is then found by multiplying this mass by the velocity, resulting in 1132 kg·m/s. The discussion emphasizes understanding the relationship between volume, mass, and momentum in fluid dynamics. The final calculation confirms the correct application of the momentum formula.
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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