Water flows through a circular pipe with a 180° horizontal elbow and exits to the atmosphere through a nozzle as shown in figure 3. The diameter of the pipe is 300mm and the diameter of the nozzle exit is 160mm. The density of water is 999kg/m³. The mass flow rate of water is 140kg/s. Incompressible, inviscid flow may be assumed. section 2 $ 160 mm Rx $ 300 mm section 1 Figure 3: default a. Calculate the velocity of the water at sections 1 and 2 respectively, X b. What is the gauge pressure at section 1? C. What is the magnitude and direction of the force Rx exerted by the water on the elbow?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
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Chapter10: Force And Force-related Variables In Engineering
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Water flows through a circular pipe with a 180° horizontal elbow and exits to the atmosphere
through a nozzle as shown in figure 3. The diameter of the pipe is 300mm and the diameter of the
nozzle exit is 160mm. The density of water is 999kg/m³. The mass flow rate of water is 140kg/s.
Incompressible, inviscid flow may be assumed.
section 2
$ 160 mm
Rx
$ 300 mm
section 1
Figure 3: default
a. Calculate the velocity of the water at sections 1 and 2 respectively,
X
b. What is the gauge pressure at section 1?
C. What is the magnitude and direction of the force Rx exerted by the water on the elbow?
Transcribed Image Text:Water flows through a circular pipe with a 180° horizontal elbow and exits to the atmosphere through a nozzle as shown in figure 3. The diameter of the pipe is 300mm and the diameter of the nozzle exit is 160mm. The density of water is 999kg/m³. The mass flow rate of water is 140kg/s. Incompressible, inviscid flow may be assumed. section 2 $ 160 mm Rx $ 300 mm section 1 Figure 3: default a. Calculate the velocity of the water at sections 1 and 2 respectively, X b. What is the gauge pressure at section 1? C. What is the magnitude and direction of the force Rx exerted by the water on the elbow?
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