Water Flow Speed: Diameter 0.2mm to 5mm

AI Thread Summary
The discussion centers on calculating the speed of water flowing through a tapered pipe, starting with a speed of 0.22 m/s at a 2.3 cm diameter. The area calculations for both diameters were incorrectly performed in mm² instead of the correct units. The initial flow rate was calculated, but the resulting speed at the smaller diameter of 5 mm was inaccurately reported as 465500 m/s. Participants highlight the importance of using consistent units for area calculations to avoid errors. Accurate calculations are crucial for understanding fluid dynamics in plumbing systems.
mikefitz
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Water entering a house flows with a speed of 0.22 m/s through a pipe of 2.3 cm inside diameter. What is the speed of the water at a point where the pipe tapers to a diameter of 5 mm in m/s?

Area 1 = 4.155
Area 2 = 19.635

Flow 1 = 4.155 (.22) = .914 m/s
.914 = 19.635v
v=.04655 mm/s

convert .04655 mm/s to m/s = 465500m/s - woah, wrong! any ideas?
 
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dude ur area is wrong the diameters are 2.3 CM and 5 MM but u calculate ur area in mm^2 for both !
 
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