Total force exerted on the can by the air pressure?

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Homework Help Overview

The discussion revolves around calculating the total force exerted on a can by air pressure when the can is sealed and contains boiling water, leading to a vacuum inside. The problem involves understanding the relationship between pressure, force, and area, with specific dimensions provided for the can.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are exploring the pressure outside the can and its relationship to the surface area. Questions about the dimensions and assumptions regarding the shape of the can are raised, with some participants calculating the surface area and questioning the conversion of atmospheric pressure to pascals.

Discussion Status

There is ongoing exploration of the necessary calculations, with some participants providing partial calculations and others seeking clarification on formulas and relationships between variables. No consensus has been reached, but there is a productive exchange of ideas regarding the approach to the problem.

Contextual Notes

Participants are working with limited information, primarily focusing on the dimensions provided and assumptions about atmospheric pressure. There is a mention of needing to calculate the surface area of the can and convert pressure units, indicating constraints in the information available for solving the problem.

Sucks@Physics
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A small quantity of water is poured into a can, the water is brought to a boil. Then the can is sealed with a rubber stopper. As you watch, the can is slowly crushed with sounds of metal bending. Assuming the dimensions of the can are 0.24m x 0.16m x 0.10m and the inside of the can is in a perfect vacuum, what is the total force exerted on the can by the air pressure?

Now I don't just need the answer i need to know how to solve it. Thanks in advance !
 
Last edited:
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what is the pressure outside the can? what is the surface area of the can. I assume the can is a cube given the dimensions...

what is the relationship between force, pressure and area?
 
That's all the question gives me. I'm guessing 1 atm pressure and the area is .00384 m from the given dimesions? I'm not completely sure
 
Sucks@Physics said:
That's all the question gives me. I'm guessing 1 atm pressure and the area is .00384 m from the given dimesions? I'm not completely sure

you calculated the volume of the cube... you need the surface area. so the sum of the areas of the 6 sides. convert 1 atm to pascals...
 
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I still don't know how to do this problem can some1 give me formulas?
 
Sucks@Physics said:
I still don't know how to do this problem can some1 give me formulas?

length = 0.24m
width = 0.16m
height = 0.10m

can you find the area of the 6 sides of the cube?

side 1 and 2... length*width
side 3 and 4... width*height etc...
 
Last edited:
.1568
 
Sucks@Physics said:
.1568

exactly. And what's the pressure outside the can in Pa?
 
1.01 KPa so you just multiply them together correct?
 

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