Solve Crate Pressure w/ Mass: 2.50x10^3 Pa

  • Thread starter jefgreen
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In summary, to find the mass of the crate, we can use the formula P=F/A and m=weight/gravity. After converting the dimensions from cm to meters, we get an area of 0.119952 m^2. Plugging this into the formula, we can find the force exerted by the crate on the floor, which is 299.88 N. Dividing this by the acceleration due to gravity (9.80 m/s^2), we get a mass of 30.6 kg.
  • #1
jefgreen
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Homework Statement


A crate, whose bottom surface is 50.4 cm by 28.3 cm, exerts a pressure of 2.50x10^3 Pa on the floor. What is the mass of the crate.


Homework Equations


P=F/A
m=weight/gravity (9.80)


The Attempt at a Solution


2.50x10^3 F
------------=----------------
1 1.4x10^3 cm^2


F=3.5x10^6

m=weight/9.80

m=3.5x10^6
-----------
9.80


Answer: 3.6x10^5 kg

I feel as though I made a mistake somewhere...
 
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  • #2
You have convert the length and the width from cm to meter.
 
  • #3
so I would multiply 2.50x20^3 by .787 (.283m+.504m)?
 
  • #4
jefgreen said:
so I would multiply 2.50x20^3 by .787 (.283m+.504m)?
What is the formula for area?

.787 (.283m+.504m)
What is this?
 
  • #5
rl.bhat said:
What is the formula for area?

.787 (.283m+.504m)
What is this?

lxw?
 
  • #6
A=lxw

So.. (.283m x .504m)= 0.119952. I am not sure about the units, but is this the correct answer?
 
  • #7
would it be meters squared (m^2)?
 
  • #8
jefgreen said:
A=lxw

So.. (.283m x .504m)= 0.119952. I am not sure about the units, but is this the correct answer?
Now it is correct. Unit of the area is m^2.
Now F = P*A = ...?
 
  • #9
F=299.88N

so...

m=weight/9.80

therefore m=299.88N/9.80 m/s^2

mass equals... 30.6kg

Correct?
 
  • #10
Correct.
 

What is the formula for calculating crate pressure with mass?

The formula for calculating crate pressure with mass is pressure = mass x gravity / area.

How do I convert 2.50x10^3 Pa to a different unit of pressure?

You can convert 2.50x10^3 Pa to a different unit of pressure by using a unit conversion factor. For example, 1 Pa is equal to 0.000145 psi, so 2.50x10^3 Pa would be approximately 0.3625 psi.

What is the standard unit for crate pressure?

The standard unit for crate pressure is Pascal (Pa). However, other commonly used units for pressure include pounds per square inch (psi) and bar (bar).

How does mass affect crate pressure?

Mass has a direct effect on crate pressure. As the mass of the crate increases, the pressure exerted by the crate also increases.

What are the practical applications of calculating crate pressure with mass?

Calculating crate pressure with mass is important in various industries, such as transportation and construction. It helps in determining the strength and stability of crates, as well as the force they exert on surrounding objects.

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