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posted by  scumscum on 11/10/2007 11:43:30 AM  |  status: Live  

velocity

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Algebra Based Physics N/A N/A N/A
Question Details:
The figure shows a nozzle on a hose carrying water. If the pressure at point 1 is 316x103 Pa, the velocity 0.92 m/s and the diameter 10 cm, given that the diameter at point 2 is 2.72 cm what is the velocity to the nearest tenth of a m/s at point 2?
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posted by ktqu on 11/10/2007 12:53:20 PM  |  status: Live
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scumscum's comment:
"thanks"
Response Details:
The flow rate in a hose will remain constant. Flow rate (I) = Area (A) times velocity (v).
 
Find the flow rate at point 1 using I = Av
A = πr2
A = π(0.05 m)2 = 0.00785 m2
 
I = (0.00785)(0.92) = 0.00722 m3/s
 
Since the flow rate is constant throughout the hose, I at point 1 is the same as I at point 2.
Use I = Av to find the velocity at point 2.
A= π(0.0272m)2 = 0.00232 m2
 
0.00785 = (0.00232)v
v = 3.4 m/s
 
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