A jet of water flows from left to right and hits a splitter block, as shown in the figure. Some ofthe jet is diverted upwards and some of it downwards. The incoming jet has a velocity U₁ =2.3 m/s and a cross-sectional area A₁The jet that is deflected upwards has a velocity U₂ = 0.7 m/s, a cross-sectional area A₂ = 11cm² and is at an angle 0₂ = 30° with respect to the horizontal.The jet that is deflected downwards has a velocity U3 = 0.9 m/s, a cross-sectional area A3 =8 cm² and is at an angle 03 = 25° with respect to the horizontal.The density of water is p = 1000 kg/m³.U₁A₁A₂zA3a)Find the cross-sectional area of the incoming jet (in cm²)U₂0₂0₂b)Find the horizontal force on the block (in Newtons)(Note: remember to convert the area of the jets from cm² to m²!)Изc)The vertical force on the block found to be F. What velocity of the incoming jet (i.e. whatvalue of u₁) would be needed t generate a force of 4F,?(Note that you don't need to actually find F, to solve this question!)

U1=2.3 m/sA1=?U2=0.7 m/sA2=11 cm2θ2=30oU3=0.9 m/sA3=8 cm2θ3=25oρ=1000 kg/m3

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 = 2.3 m/s and a cross-sectional area A₁. The jet that is deflected upwards has a velocity U₂ = 0.7 m/s, a cross-sectional area A₂ = 11 cm² and is at an angle 0₂ = 30° with respect to the horizontal. The jet that is deflected downwards has a velocity U3 = 0.9 m/s, a cross-sectional area A3 = 8 cm² and is at an angle 83 = 25° with respect to the horizontal. The density of water is p = 1000 kg/m³.

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 = 2.3 m/s and a cross-sectional area A₁. The jet that is deflected upwards has a velocity U₂ = 0.7 m/s, a cross-sectional area A₂ = 11 cm² and is at an angle 0₂ = 30° with respect to the horizontal. The jet that is deflected downwards has a velocity U3 = 0.9 m/s, a cross-sectional area A3 = 8 cm² and is at an angle 83 = 25° with respect to the horizontal. The density of water is p = 1000 kg/m³.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Section: Chapter Questions

Problem 1.1MA

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Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

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 =
2.3 m/s and a cross-sectional area A₁
The jet that is deflected upwards has a velocity U₂ = 0.7 m/s, a cross-sectional area A₂ = 11
cm² and is at an angle 0₂ = 30° with respect to the horizontal.
The jet that is deflected downwards has a velocity U3 = 0.9 m/s, a cross-sectional area A3 =
8 cm² and is at an angle 03 = 25° with respect to the horizontal.
The density of water is p = 1000 kg/m³.
U₁
A₁
A₂z
A3
a)
Find the cross-sectional area of the incoming jet (in cm²)
U₂
0₂
0₂
b)
Find the horizontal force on the block (in Newtons)
(Note: remember to convert the area of the jets from cm² to m²!)
Из
c)
The vertical force on the block found to be F. What velocity of the incoming jet (i.e. what
value of u₁) would be needed t generate a force of 4F,?
(Note that you don't need to actually find F, to solve this question!)

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