Calculating Momentum of a High-Velocity Water Jet?

In summary, the problem is to determine the momentum per second of a jet of water with a diameter of 30mm and a velocity of 40m/s. The formula for momentum is discussed, and the volume of water passing in one second is calculated using the radius and speed of the jet. The final answer is determined to be 1132kgms-1.
  • #1
ar202
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0

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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  • #2
Welcome to Physics Forums!

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?
 
  • #3
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 :-)
 
  • #4
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.
 
  • #5
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?
 
  • #6
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.
 
  • #7
Stonebridge said:
That's it. That is the "mv" in one second.
Well done.

thanks for your help dude
 

FAQ: Calculating Momentum of a High-Velocity Water Jet?

What is momentum?

Momentum is a property of a moving object that describes how much force it has. It is calculated by multiplying the mass of the object by its velocity.

How is momentum related to a jet of water?

A jet of water also has momentum, which is determined by the mass of the water being expelled and its velocity. The faster and heavier the water is, the greater its momentum will be.

What factors affect the momentum of a jet of water?

The momentum of a jet of water can be affected by the mass and velocity of the water, as well as external factors such as air resistance and gravity.

How does momentum impact the direction of a jet of water?

Momentum is a vector quantity, meaning it has both magnitude and direction. In the case of a jet of water, the direction of the momentum will determine the direction in which the water will flow.

Can momentum be conserved in a jet of water?

Yes, according to the law of conservation of momentum, the total momentum of a system will remain constant unless acted upon by an external force. This means that in a closed system, the momentum of a jet of water will remain constant.

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