Air Density & Bernoulli's Equation: Tolerance Explained

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SUMMARY

The discussion focuses on the concept of tolerance in the context of engineering experiments involving air density and Bernoulli's equation. Tolerance refers to the acceptable margin of error between experimental results and the theoretical values derived from Bernoulli's equation. Participants clarified that the primary experiment likely involves measuring air, while the secondary measurement of air density serves as a verification method to assess accuracy and quantify potential errors from factors like wind resistance and atmospheric buoyancy.

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Homework Statement
Please see below
Relevant Equations
Please see below
For this,
1684987071762.png

Can someone please tell me what tolerance means in this context?

Many thanks!
 
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ChiralSuperfields said:
Homework Statement: Please see below
Relevant Equations: Please see below

For this,
View attachment 327029
Can someone please tell me what tolerance means in this context?

Many thanks!
In engineering, it means how much error is acceptable. Not sure what Guest User meant.
 
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ChiralSuperfields said:
Homework Statement: Please see below
Relevant Equations: Please see below

Can someone please tell me what tolerance means in this context?
I believe Guest User is asking how close your experimental answer is to the 'correct' or book answer, as given by Bernoulli's equation.

Hope this helps!

Cheers,
Tom
 
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Tom.G said:
I believe Guest User is asking how close your experimental answer is to the 'correct' or book answer, as given by Bernoulli's equation.
I have a slightly different interpretation. It seems that we have not been given full context.

As I reconstruct things, there is some primary experiment or measurement that the student is doing. The student is asked to do a secondary measurement of air density to verify the accuracy of the primary experiment.

Possibly the primary experiment is to weigh some air and the secondary measurement of air density is a sanity check. Possibly the primary experiment is something else that could be affected by wind resistance, atmospheric buoyancy or some such and the secondary measurement of density will quantify the expected error from that source.
 
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haruspex said:
In engineering, it means how much error is acceptable. Not sure what Guest User meant.
Tom.G said:
I believe Guest User is asking how close your experimental answer is to the 'correct' or book answer, as given by Bernoulli's equation.

Hope this helps!

Cheers,
Tom
jbriggs444 said:
I have a slightly different interpretation. It seems that we have not been given full context.

As I reconstruct things, there is some primary experiment or measurement that the student is doing. The student is asked to do a secondary measurement of air density to verify the accuracy of the primary experiment.

Possibly the primary experiment is to weigh some air and the secondary measurement of air density is a sanity check. Possibly the primary experiment is something else that could be affected by wind resistance, atmospheric buoyancy or some such and the secondary measurement of density will quantify the expected error from that source.
Thank you for your replies @haruspex, @Tom.G, and @jbriggs444! That all helps a lot!

Many thanks!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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