How is the power of water flowing through a pipe directly proportional to v³ and not v²?

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How is the power of water flowing through a pipe directly proportional to v³ and not v²?

(v starts for velocity of water)

I have been trying to write power in terms of velocity³ but I'm unable to figure it out. Though according to me, it should have been v² because power is work done * time.

velocity

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asked 4 hours ago

Never Play It Safe.

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up vote
1
down vote

favorite

How is the power of water flowing through a pipe directly proportional to v³ and not v²?

(v starts for velocity of water)

I have been trying to write power in terms of velocity³ but I'm unable to figure it out. Though according to me, it should have been v² because power is work done * time.

velocity

share|cite|improve this question

asked 4 hours ago

Never Play It Safe.

61

New contributor

Never Play It Safe. is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

up vote
1
down vote

favorite

up vote
1
down vote

favorite

How is the power of water flowing through a pipe directly proportional to v³ and not v²?

(v starts for velocity of water)

I have been trying to write power in terms of velocity³ but I'm unable to figure it out. Though according to me, it should have been v² because power is work done * time.

velocity

share|cite|improve this question

asked 4 hours ago

Never Play It Safe.

61

New contributor

Never Play It Safe. is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

How is the power of water flowing through a pipe directly proportional to v³ and not v²?

(v starts for velocity of water)

I have been trying to write power in terms of velocity³ but I'm unable to figure it out. Though according to me, it should have been v² because power is work done * time.

velocity

velocity

share|cite|improve this question

asked 4 hours ago

Never Play It Safe.

61

New contributor

Never Play It Safe. is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

asked 4 hours ago

Never Play It Safe.

61

New contributor

Never Play It Safe. is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

share|cite|improve this question

asked 4 hours ago

Never Play It Safe.

61

New contributor

Never Play It Safe. is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 4 hours ago

Never Play It Safe.

61

asked 4 hours ago

Never Play It Safe.

61

61

New contributor

Never Play It Safe. is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

New contributor

Never Play It Safe. is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

Never Play It Safe. is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

add a comment | 

1 Answer
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Consider a kilogram of water flowing past a point.

If you double the velocity of the water, what happens to the kinetic energy of that kilogram?

And what happens to the time it takes for that kilo to pass the given point?

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answered 3 hours ago

DJohnM

8,47321824

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1 Answer
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1 Answer
1

active

oldest

votes

active

oldest

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active

oldest

votes

up vote
2
down vote

Consider a kilogram of water flowing past a point.

If you double the velocity of the water, what happens to the kinetic energy of that kilogram?

And what happens to the time it takes for that kilo to pass the given point?

share|cite|improve this answer

answered 3 hours ago

DJohnM

8,47321824

add a comment | 

up vote
2
down vote

Consider a kilogram of water flowing past a point.

If you double the velocity of the water, what happens to the kinetic energy of that kilogram?

And what happens to the time it takes for that kilo to pass the given point?

share|cite|improve this answer

answered 3 hours ago

DJohnM

8,47321824

add a comment | 

up vote
2
down vote

up vote
2
down vote

Consider a kilogram of water flowing past a point.

If you double the velocity of the water, what happens to the kinetic energy of that kilogram?

And what happens to the time it takes for that kilo to pass the given point?

share|cite|improve this answer

answered 3 hours ago

DJohnM

8,47321824

Consider a kilogram of water flowing past a point.

If you double the velocity of the water, what happens to the kinetic energy of that kilogram?

And what happens to the time it takes for that kilo to pass the given point?

share|cite|improve this answer

answered 3 hours ago

DJohnM

8,47321824

share|cite|improve this answer

share|cite|improve this answer

answered 3 hours ago

DJohnM

8,47321824

answered 3 hours ago

DJohnM

8,47321824

answered 3 hours ago

DJohnM

8,47321824

8,47321824

add a comment | 

add a comment | 

Never Play It Safe. is a new contributor. Be nice, and check out our Code of Conduct.

 

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