Fluids velocity homework help

In summary, a 5 cm radius tube and a 1 cm radius tube are connected and water is being forced through them at a rate of 10 liters/min. The pressure in the 5 cm tube is 1×105 Pa and the density of water is 1000 kg/m3. Using the equation P=F/A and the given information, we can determine the velocity of the water in the 5 cm tube in m/s. The length of the tube does not affect the calculation as long as 10 L pass by each minute.
  • #1
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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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  • #2
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.
 
  • #3
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.
 
  • #4
It doesn't matter where you look in the tube, 10 L pass by each min.
 

1. What is fluid velocity and why is it important?

Fluid velocity is the rate at which a fluid moves through a given space. It is important because it helps to determine the flow rate of a fluid, which is crucial in many engineering applications such as designing pipes and pumps.

2. How is fluid velocity calculated?

Fluid velocity can be calculated using the equation v = Q/A, where v is the velocity, Q is the volumetric flow rate, and A is the cross-sectional area of the pipe or channel that the fluid is flowing through.

3. What factors affect fluid velocity?

The factors that affect fluid velocity include the cross-sectional area of the pipe or channel, the density and viscosity of the fluid, and the pressure difference that drives the flow.

4. How does fluid velocity impact the behavior of fluids?

Fluid velocity is directly related to the energy and momentum of a fluid. Higher velocity can lead to turbulent flow, while lower velocity can result in laminar flow. It also affects the pressure and shear stresses within the fluid, which can impact its behavior and properties.

5. Can fluid velocity be changed or controlled?

Yes, fluid velocity can be changed and controlled through various methods such as altering the flow rate, changing the cross-sectional area of the pipe, or using devices such as valves and pumps. It is important to carefully consider and control fluid velocity in many engineering applications to ensure efficient and safe operation.

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