Calculate Volume of Cargo Lifter for 160t Load | Cargolift Problem

  • Thread starter robax25
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In summary: Archimedes' principle states that an object is buoyed up by a force equal to the weight of the displaced water. So if you had a balloon filled with air, and then took away some of the air, the balloon would rise because there would be less weight to support it.
  • #1
robax25
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Homework Statement


A cargo lifter needs to carry 160t and if the density of gas is 0.6125kg/m³. what is the volume of the Cargo lifter?

Homework Equations


F=ρ*Vc*g
ρ=density of the gas
Vc=Volume of the cargo lifter
F=1569600N/m²

The Attempt at a Solution


Vb=261224.4898 m³
I think my solution is wrong because it is too large.
 
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  • #2
What's a cargo lifter? Like a balloon or something?
 
  • #3
balloon
 
  • #4
robax25 said:
I think my solution is wrong because it is too large.
Not only that, what would happen to your solution if the density were higher? Does that make sense?
 
  • #5
if density is higher, my solution would decrease.
 
  • #6
robax25 said:
if density is higher, my solution would decrease.
Right, whereas a denser gas will give you less lift, so you need more of it.
Another hint: what you have actually calculated is the volume of a vacuum needed to lift the cargo if the Earth's atmosphere were to consist of this gas.
 
  • #7
yes, but it is too large.Is it possible to make in real?
 
  • #8
robax25 said:
yes, but it is too large.Is it possible to make in real?
I get the feeling you have not understood the question. The gas is to go inside the balloon. What will be outside? Why will there be any lift?
 
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  • #9
Sorry I understand it fully.If you make such a big Vacuum Ballon, it is costly.
 
  • #10
robax25 said:
Sorry I understand it fully.If you make such a big Vacuum Ballon, it is costly.
It is still not clear that you have understood the difficulty. If you filled a 260000 cubic meter balloon with lead (11340 kg/m3, how much payload could it lift?

See also lead balloon and Hindenburg (500,000 m3 of hydrogen for 500 tons lift).
 
  • #11
robax25 said:
Sorry I understand it fully.If you make such a big Vacuum Ballon, it is costly.
We are not making a vacuum balloon, but your calculation in post #1 is exactly as though that is what we are doing.
Please answer my questions in post #8.
 
  • #12
there is lift because the gas is less denser than air. It goes up automatically because gravity don't hold the gas.If you are talking about outside, ´The whole system works following pascal law.
 
  • #13
robax25 said:
there is lift because the gas is less denser than air.
Yes.
robax25 said:
It goes up automatically because gravity don't hold the gas
Gravity acts to pull the gas down, just like it does any other mass. But it pulls the air which would occupy the same space harder.
Use Archimedes' principle.
 

FAQ: Calculate Volume of Cargo Lifter for 160t Load | Cargolift Problem

How do you calculate the volume of a cargo lifter for a 160t load?

To calculate the volume of a cargo lifter, you will need to know the dimensions of the cargo lifter and the maximum weight it can carry. Once you have this information, you can use the formula: Volume = Length x Width x Height. Make sure to convert all units to the same measurement (e.g. meters) before plugging them into the formula.

What is the maximum weight that a cargo lifter can carry?

The maximum weight that a cargo lifter can carry will vary depending on the specific model and design. However, for this problem, we are assuming a maximum weight of 160t.

How do you convert units for the cargo lifter dimensions?

To convert units, you will need to know the conversion factor between the two units. For example, if you need to convert from feet to meters, you would multiply the length in feet by 0.3048 to get the length in meters. Make sure to use the same conversion factor for all dimensions (e.g. if you convert length, also convert width and height).

What is the formula for converting weight to volume?

There is no direct formula for converting weight to volume, as it will depend on the density of the material being lifted. However, you can use the formula: Volume = Weight / Density, where density is measured in units of mass per unit of volume (e.g. kg/m^3).

Are there any other factors to consider when calculating the volume of a cargo lifter?

Yes, there are several other factors that may need to be considered when calculating the volume of a cargo lifter. These include the weight and dimensions of any additional equipment or attachments, the weight of the cargo itself, and any safety or clearance requirements. It is important to carefully consider all of these factors to ensure that the cargo lifter is able to safely and effectively carry the 160t load.

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