Solve Buoyancy Problem: Estimate Balloon Radius for 6 Yr Old Boy

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In summary, to calculate the buoyancy of a balloon, you will need to know the volume of the balloon, the density of the air and the density of the gas inside the balloon. The density of air varies but is approximately 1.225 kg/m3 at sea level and 20 degrees Celsius. The density of the gas inside the balloon will depend on the type of gas used, with helium having a density of 0.1785 kg/m3. If unsure, an average density of 0.2 kg/m3 can be used. The appropriate balloon size for a 6 year old boy would depend on his weight and should have a lifting force of at least 1.5 times his weight. Safety precautions to consider
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lavster
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Homework Statement


A six year old boy weights about 25 kg. Estimate the radius of a spherical helium balloon capable of lifting the boy.Solution 2.

Homework Equations



V=(4/3)*pi*r^3.

B= density of air* volume *g if in air

The Attempt at a Solution



the buoyancy must be greater than the weight.
Density of helium is 4g/22.4l = 0.180 kg/m3.
Density of air (Nitrogen) is 28g/22.4l = 1.25 kg/m3.


not sure where to go from here...

thanks
 
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  • #2
never mind I've got it now :)
 

Related to Solve Buoyancy Problem: Estimate Balloon Radius for 6 Yr Old Boy

1. How do I calculate the buoyancy of a balloon?

To calculate the buoyancy of a balloon, you will need to know the volume of the balloon, the density of the air and the density of the gas inside the balloon. The formula for calculating buoyancy is: Buoyancy = (Density of Air - Density of Gas) * Volume of Balloon.

2. What is the density of air?

The density of air varies depending on altitude and temperature, but on average it is 1.225 kg/m3 at sea level and 20 degrees Celsius.

3. How do I determine the density of the gas inside the balloon?

The density of the gas inside the balloon will depend on what type of gas is being used. For example, if helium is being used, the density would be 0.1785 kg/m3. If you are unsure of the gas being used, you can estimate an average density of 0.2 kg/m3.

4. What is the appropriate balloon size for a 6 year old boy?

The appropriate balloon size for a 6 year old boy would depend on his weight and the weight of the balloon. As a general guideline, the balloon should have a lifting force of at least 1.5 times the weight of the child. You can use the formula in question 1 to calculate the appropriate volume of the balloon.

5. Are there any safety precautions I should consider when using balloons?

Yes, it is important to always supervise children when playing with balloons to prevent any choking hazards. Also, make sure to use high quality, sturdy balloons to avoid any potential popping or bursting. And as always, follow the instructions and warnings provided by the manufacturer.

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