A frustrating question regarding pressure, fluid and force

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Homework Help Overview

The problem involves fluid dynamics, specifically the interaction between air flow and pressure on an iron plate. The scenario describes a student investigating the conditions under which the plate would rise due to air blowing across its surface.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the necessity of knowing the density of the iron plate and question the relevance of the plate's area in determining the pressure required for the plate to rise.

Discussion Status

Some participants have provided insights into the relationship between pressure, density, and velocity, suggesting that the density of the iron plate is crucial for the calculations. There is an acknowledgment of the limitations posed by the lack of area information.

Contextual Notes

Participants note that the problem does not provide the area of the plate, which raises questions about how to proceed with the calculations. The original poster expresses uncertainty about starting the problem due to the limited data provided.

erinec
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Homework Statement



In an experiment a student arranges for air to blow across top of an iron plate that has a large area and a thickness, d, of 2.0 mm. The air underneath the plate is at rest.

What is the speed of air flow above which the student would observe the plate to rise? (Ignore the small buoyancy force of the air acting on the heavy plate. i.e. ignore pairgd.)

Patmosphere = 101300 Pa
Density of air = 1.29 kg/m3
g = 9.81 m/s2

Homework Equations


Bernoulli's
P + 1/2 pv2 + pgh = constant


The Attempt at a Solution


The answer is apparently v = 15.4 m/s.

But I do not know how to even start this question as only little data is given.

Your help will be very appreciated. Or any suggestions/ideas/hint would help a lot as well.
 
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You have to assume the density of iron plate.
 
Thanks for your reply.

But even if I know the density of the iron plate, I am not given the area of the plate, so it won't be much of a use, no?
 
To find the pressure area is not needed. Density is enough.

p(iron)dg = 1/2*p(air)*v^2. Try this.
 
Yes you are right.
Thank you so much.
 

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