Air Density & Bernoulli's Equation: Tolerance Explained

In summary, the student is doing a primary experiment to weigh air, and is checking the accuracy of the experiment by measuring air density.
  • #1
ChiralSuperfields
1,206
132
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!
 
Physics news on Phys.org
  • #2
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.
 
  • Like
Likes ChiralSuperfields
  • #3
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
 
  • Like
Likes ChiralSuperfields
  • #4
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.
 
  • Like
Likes ChiralSuperfields and Grelbr42
  • #5
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!
 
  • Like
Likes berkeman

1. What is air density?

Air density is a measure of how much mass is present in a given volume of air. It is influenced by factors such as temperature, humidity, and altitude.

2. How does air density affect flight?

Air density plays a crucial role in flight as it affects the amount of lift generated by an aircraft's wings. Higher air density means more lift, which allows an aircraft to stay in the air at a lower speed. This is why planes need to fly at higher altitudes where air density is lower in order to maintain their speed and efficiency.

3. What is Bernoulli's equation?

Bernoulli's equation is a mathematical relationship that describes the conservation of energy in a fluid flow. It states that as the speed of a fluid (such as air) increases, its pressure decreases. This principle is important in understanding how lift is generated in flight.

4. How does Bernoulli's equation relate to air density?

Bernoulli's equation takes into account the density of a fluid, such as air, in its calculation. As air density decreases, the speed of the air increases, resulting in a decrease in pressure according to the equation. This is why lower air density at higher altitudes can lead to a decrease in lift and performance for aircraft.

5. Why is tolerance important in understanding air density and Bernoulli's equation?

Tolerance refers to the ability of an aircraft to maintain stable flight even when faced with changes in air density. Understanding the relationship between air density and Bernoulli's equation is crucial in maintaining proper tolerance, as changes in air density can significantly affect the performance and stability of an aircraft. Pilots must be aware of these factors and make adjustments accordingly to ensure safe and efficient flight.

Similar threads

  • Introductory Physics Homework Help
2
Replies
61
Views
3K
  • Introductory Physics Homework Help
Replies
5
Views
952
Replies
207
Views
3K
  • Introductory Physics Homework Help
Replies
15
Views
431
  • Programming and Computer Science
Replies
4
Views
984
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
15
Views
847
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
926
Back
Top