Calculating Fluid Velocity in a Constricted Tube

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Homework Help Overview

The discussion revolves around calculating the fluid velocity in a tube with varying diameters, specifically a transition from a larger radius to a smaller one. The problem involves fluid dynamics principles, including flow rate and pressure considerations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between flow rate and cross-sectional area, with some noting the known volume flow rate. Others express uncertainty about the implications of the tube's shape and dimensions, particularly the lack of information regarding the tube's length and its non-cylindrical nature.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of the problem setup. Some have provided insights into the flow rate, while others are questioning the assumptions regarding the tube's geometry and its impact on the calculations.

Contextual Notes

There is a noted absence of information about the length of the tube and its overall shape, which may affect the calculations. The problem assumes non-viscous and incompressible flow, but the implications of these assumptions are being discussed.

dylee3
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1. A tube of radius 5 cm is connected to tube of radius 1 cm as shown above. Water is forced through the tube at a rate of 10 liters/min. The pressure in the 5 cm tube is 1×105 Pa. The density of water is 1000 kg/m3. Assume that the water is nonviscous and uncompressible.



2. P=F/A, Q=v1A1 = v2A2



3. no idea

(a) What is the velocity of the water in the 5 cm radius tube in m/s?



thanks for anyhelp
 
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Looks like you know the volume per time that pass through that tube. Volume can be thought of as area times length. The dimension of the tube is known.
 
it doesn't tell us the length of the tube, its not a perfect cylinder. it starts off with a 5cm radius tube, and angles into a 1 cm radius tube, back out to a 5cm radius tube.
 
It doesn't matter where you look in the tube, 10 L pass by each min.
 

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