What is the speed of the water in the Bernoulli River?

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Homework Help Overview

The problem involves calculating the speed of water in the Bernoulli River, which is formed by the confluence of two rivers with known volume flow rates. The dimensions of the Bernoulli River are also provided.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the volume flow rates of the two rivers and how to combine them to find the speed of the water. There are attempts to calculate the speed using different values, with some questioning the assumptions made in the calculations.

Discussion Status

Participants are actively engaging with the problem, sharing their calculations and questioning each other's approaches. Some guidance has been offered regarding the need to consider both rivers' flow rates in the calculations.

Contextual Notes

There is a focus on ensuring the answer is expressed in meters per second, and some participants express confusion regarding the units involved in the problem.

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Homework Statement


River Pascal with a volume flow rate of 4.7×105 joins with River Archimedes, which carries 1.1×106 , to form the Bernoulli River. The Bernoulli River is 130 wide and 30 deep.

What is the speed of the water in the Bernoulli River?

Homework Equations


Express your answer using two significant figures.


The Attempt at a Solution


I attempted to guesses so far.
0.120 m/s was wrong
1.20 m/s was wrong



Thanks for all the help.
Jared
 
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Welcome to PF!

Hi Jared! Welcome to PF! :smile:

(try using the X2 tag just above the Reply box :wink:)
Beastegargoyl said:
River Pascal with a volume flow rate of 4.7×105 joins with River Archimedes, which carries 1.1×106 , to form the Bernoulli River. The Bernoulli River is 130 wide and 30 deep.

What is the speed of the water in the Bernoulli River?

I attempted to guesses so far.
0.120 m/s was wrong
1.20 m/s was wrong

Show us your full calculations, and then we can see what went wrong, and we'll know to help! :smile:
 
For vfr=4.7*105L/s

I used the equation 4.7*105/3900 equals 1.2m/s

Thanks for the help.
Jared
 
Hi Jared! :smile:

(just got up :zzz: …)
Beastegargoyl said:
River Pascal with a volume flow rate of 4.7×105 joins with River Archimedes, which carries 1.1×106 , to form the Bernoulli River. The Bernoulli River is 130 wide and 30 deep.

What is the speed of the water in the Bernoulli River?

Beastegargoyl said:
For vfr=4.7*105L/s

I used the equation 4.7*105/3900 equals 1.2m/s

oh i see … you only used the volume flow rate of River Pascal.

The Bernoulli River contains the water of both River Pascal and River Archimedes. :wink:
 
@tiny-tim- Did you come up with an answer of .40m/s where that incportates both rivers?

Thanks for your help,

Jared
 
Beastegargoyl said:
@tiny-tim- Did you come up with an answer of .40m/s where that incportates both rivers?

I go 4.0 times something

what are the units of the problem? :confused:
 
4.7*105L/s and 1.1*106L/s. 130m wide and 30m deep.

The answer needs to be expressed in m/s.
 
Beastegargoyl said:
4.7*105L/s and 1.1*106L/s. 130m wide and 30m deep.

The answer needs to be expressed in m/s.

oh, litres! :rolleyes:

ok, then i make it .40m/s :smile:
 

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