Physics Help Forum Impact of a jet of water

 Thermodynamics and Fluid Mechanics Thermodynamics and Fluid Mechanics Physics Help Forum

 Mar 31st 2018, 12:19 AM #1 Junior Member   Join Date: Mar 2018 Posts: 1 Impact of a jet of water Hi, I would like some help with the following problem: "A jet of water issues from a nozzle, of diameter h_1=0,102 m (and depth b=1 m), at a speed U_1=2,02 m/s. The jet strikes a flat plate of mass M=2,05 kg, as shown in figure, and it breaks into two jets of equal speed and diameter h_2=0,122 m and h_3=0,102 m. Determine the speed at which the water leaves the plate, U. Kowing that α=30° and that the volume in transition is V=5,05 L, find the components F_x and F_y of the total force that should be applied on the plate to maintain it in equilibrium". (Solutions are U=0.9198, F_x=28.48 and F_y= -389.7). To answer the first question, I took the jet as my control volume and I applied the momentum conservation equation on it: (-ρU_1h_1b)+(ρUh_2b)+(ρUh_3b)=0 So: U=(U_1h_1)/(h_2+h_3)= 0.9198 My doubts concern the second question: I tried to apply again the momentum equation now on the whole system, but I think this is not the right way to solve it... Thank you in advance for the help. Attached Thumbnails
Apr 2nd 2018, 04:31 AM   #2
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Join Date: Jun 2016
Location: England
Posts: 844
To get the force, you need the rate of change of momentum.

You say
 the volume in transition is V=5,05 L
Do you mean 5.05 liters per second?

remember 1 litre of water masses 1 kg.
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