Air Density & Bernoulli's Equation: Tolerance Explained

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Tolerance in the context of air density and Bernoulli's equation refers to the acceptable range of error in experimental measurements compared to theoretical values. The discussion highlights the importance of verifying experimental results through secondary measurements, such as air density, to ensure accuracy. It suggests that the primary experiment may involve measuring air weight or other factors influenced by environmental conditions. Understanding tolerance is crucial for evaluating how closely experimental outcomes align with established equations. This clarification aids in grasping the significance of precision in engineering experiments.
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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!
 
If have close pipe system with water inside pressurized at P1= 200 000Pa absolute, density 1000kg/m3, wider pipe diameter=2cm, contraction pipe diameter=1.49cm, that is contraction area ratio A1/A2=1.8 a) If water is stationary(pump OFF) and if I drill a hole anywhere at pipe, water will leak out, because pressure(200kPa) inside is higher than atmospheric pressure (101 325Pa). b)If I turn on pump and water start flowing with with v1=10m/s in A1 wider section, from Bernoulli equation I...

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