A jet of water flows from left to right and hits a splitter block, as shown in the figure. Some of the jet is diverted upwards and some of it downwards. The incoming jet has a velocity U1= 2.6 m/s and a cross-sectional area A1. The jet that is deflected upwards has a velocity U2= 0.6 m/s, a cross-sectional area A2= 6 cm^2 and is at an angle θ2= 25 with respect to the horizontal. The jet that is deflected downwards has a velocity U3= 1.1 m/s, a cross-sectional area A3= 13 cm^2 and is at an angle θ3= 30 with respect to the horizontal. The density of water is ρ=1000 kg/m^3. 1.Find the cross-sectional area of the incoming jet (in cm ^2) 2.Find the horizontal force on the block (in Newtons) (Note: remember to convert the area of the jets from cm^2 to m^2!) 3. The vertical force on the block is found to be Fy. What velocity of the incoming jet (i.e. what value of u1) would be needed to generate a force of 4Fy? (Note that you don't need to actually find Fy to solve this question!)
A jet of water flows from left to right and hits a splitter block, as shown in the figure. Some of the jet is diverted upwards and some of it downwards. The incoming jet has a velocity U1= 2.6 m/s and a cross-sectional area A1.
The jet that is deflected upwards has a velocity U2= 0.6 m/s, a cross-sectional area A2= 6 cm^2 and is at an angle θ2= 25 with respect to the horizontal.
The jet that is deflected downwards has a velocity U3= 1.1 m/s, a cross-sectional area A3= 13 cm^2 and is at an angle θ3= 30 with respect to the horizontal.
The density of water is ρ=1000 kg/m^3.
1.Find the cross-sectional area of the incoming jet (in cm ^2)
2.Find the horizontal force on the block (in Newtons)
(Note: remember to convert the area of the jets from cm^2 to m^2!)
3.
The vertical force on the block is found to be Fy. What velocity of the incoming jet (i.e. what value of u1) would be needed to generate a force of 4Fy?
(Note that you don't need to actually find Fy to solve this question!)
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