Find the radius of the balloon

In summary, to estimate the radius of a helium filled balloon for lifting a load of 180 kg, the equation F=rho*g*V is used. However, the density of the surrounding fluid (most likely air) is also needed for an accurate calculation. Additionally, if the experiment is conducted in a vacuum, the size of the balloon will not affect its ability to float.
  • #1
physics_freak
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Homework Statement


Estimate the radius of a helium filled balloon if a load of 180 kg (including the weight of the empty balloon) is to be lifted. Density of helium is 0.179 kg/m^3


Homework Equations



F=rho*g*V

The Attempt at a Solution



F=[tex]\rho[/tex]gV

r=3.22m
 
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  • #2
I don't think it's that simple.
Don't you also need to know the density of air?

If this was done in a vacuum then no matter how big your radius was it would not float.

Also, from the way the problem is worded it doesn't sound like the weight of the helium is incorporated in the 180kg.
You can solve this if you are given the density of the surrounding fluid in which the balloon is to float (most likely normal air).
 

Related to Find the radius of the balloon

1. How do you find the radius of a balloon?

To find the radius of a balloon, you will need a ruler or a measuring tape. Measure the diameter of the balloon by placing the ruler or measuring tape across the widest part of the balloon. Then, divide the diameter by 2 to get the radius.

2. Can you find the radius of a balloon without measuring it?

No, the only way to accurately find the radius of a balloon is by measuring it. Estimating or guessing the radius may lead to inaccurate results.

3. Why is it important to find the radius of a balloon?

Finding the radius of a balloon is important for various reasons. It can help determine the size and volume of the balloon, which can be useful for scientific experiments or calculations. Additionally, knowing the radius can also help determine the amount of air or helium needed to inflate the balloon to a desired size.

4. Does the material of the balloon affect its radius?

Yes, the material of the balloon can affect its radius. For example, a latex balloon will have a different radius than a mylar balloon of the same size. The thickness and elasticity of the material can also impact the final radius of the balloon.

5. Are there any other methods for finding the radius of a balloon?

Yes, there are other methods for finding the radius of a balloon. One method is to use the volume of the balloon, which can be calculated by filling the balloon with water and measuring the water displacement. Another method is to use a balloon sizer, which is a tool specifically designed for measuring balloon sizes.

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