Why is the velocity of flow six times bigger in a tube with a larger radius?

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SUMMARY

The discussion centers on the velocity of water flow in a rigid tube with varying radii, specifically comparing a radius of 1 cm to a radius of 3 cm. According to the principles of fluid dynamics, particularly the continuity equation, the velocity of flow increases as the radius of the tube increases. The conclusion drawn is that the velocity in the larger radius tube is six times greater than in the smaller radius tube, confirming option e as the correct answer. The participants emphasize the need for clarity in the problem statement and the importance of showing working for accurate assistance.

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BrnoStudent
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Water flows through a rigid tube, the radius of which is 1 cm. What will be the velocity
of flow in a part of the tube with a radius of 3 cm?

Please show your working and any equations that you use, no matter how basic you think it is. If there is no working to show then just explain how you arrived at your answer. I know the answer is e, I just don't know why.
I have an exam on tuesday and this is a practice question. Thank you.
a) 3 m.s-1
b) one third of the original value
c) one sixth of the original value
d) three-times bigger than the original value
e) six-times bigger than the original value
 
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BrnoStudent said:
Water flows through a rigid tube, the radius of which is 1 cm. What will be the velocity
of flow in a part of the tube with a radius of 3 cm?

Please show your working and any equations that you use, no matter how basic you think it is. If there is no working to show then just explain how you arrived at your answer. I know the answer is e, I just don't know why.
I have an exam on tuesday and this is a practice question. Thank you.
a) 3 m.s-1
b) one third of the original value
c) one sixth of the original value
d) three-times bigger than the original value
e) six-times bigger than the original value

Something's fishy with the problem as posted; For the given information I don't see a valid answer amongst the choices. Check and confirm the problem statement.

Also, you need to show some attempt at the problem before we can know how to help; don't ignore the posting template, it's there for a reason.

What equations do you know that involve fluid flow, particularly ones involving flow rates and velocities? List them.
 
gneill said:
Something's fishy with the problem as posted; For the given information I don't see a valid answer amongst the choices. Check and confirm the problem statement.

Also, you need to show some attempt at the problem before we can know how to help; don't ignore the posting template, it's there for a reason.

What equations do you know that involve fluid flow, particularly ones involving flow rates and velocities? List them.

As much as I would like to have a tête à tête about the above question, I don't have the time. I also have an anatomy exam, medical cemistry and biology exam this week as well. The way the question was on the paper is the way I typed it. If it is an impossible question, then thanks for all your help.
 

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