Calculating Volume of Weather Balloon to Lift 4220kg Package

In summary, in order for a 507kg weather balloon to lift a 4220kg package, it should have a volume of approximately 4260 m^3 when filled with helium at STP. This is calculated using the concept of buoyancy, where the buoyant force must balance the total weight of the balloon, package, and helium. The volume is calculated by setting the weight of the balloon and package equal to the buoyant force, and solving for the volume of helium needed.
  • #1
Corky
14
0
A 507kg weather balloon is designed to lift a 4220kg package. What volume should the balloon have after being filled with helium at STP in order that the total load can be lifted.

I have no idea how to start this problem...
 
Physics news on Phys.org
  • #2
This is a bouyancy problem. Get to the Archemedes section of your text. Find densities of air and helium.

The bouyant force balances the total weight of the balloon , tha package and the helium gas.

I get a volume of 4260 m^3.
 
Last edited:
  • #3
All right, so:

W(balloon) + W(package) W(helium) = F(bouyant)
4973.67 + 41398.2 + [0.179 * volume * 9.81](heluim) = F
= 1.29 * volume * 9.81

But what do I put if for volume..??
 
  • #4
got it thanks
 

1. How do you calculate the volume of a weather balloon?

To calculate the volume of a weather balloon, you will need to know the mass of the package it needs to lift and the density of the lifting gas. The formula for calculating volume is V = m/p, where V is volume, m is mass, and p is density. You can also use online calculators or formulas specific to different types of balloons to find the volume.

2. What is the density of the lifting gas used in weather balloons?

The most commonly used lifting gas in weather balloons is helium, which has a density of 0.1785 kg/m^3. However, other gases such as hydrogen and hot air can also be used, and their densities will vary. It is important to use the correct density for the specific lifting gas being used in the calculation.

3. Why is it important to calculate the volume of a weather balloon before launch?

Calculating the volume of a weather balloon is crucial because it determines how much weight it can lift. If the balloon is too small, it may not be able to lift the package and could cause the balloon to burst. On the other hand, if the balloon is too large, it may not be able to ascend to the desired altitude. Accurately calculating the volume ensures a successful launch.

4. Can the volume of a weather balloon change during flight?

Yes, the volume of a weather balloon can change during flight due to changes in temperature and pressure. As the balloon ascends to higher altitudes, the air pressure decreases, causing the balloon to expand. Similarly, as the temperature drops, the volume of the gas inside the balloon decreases, causing it to shrink. These changes can affect the lift capacity of the balloon and must be taken into account during calculations.

5. Are there any safety precautions to consider when calculating the volume of a weather balloon?

Yes, there are a few safety precautions to consider when calculating the volume of a weather balloon. Always make sure to use the correct density for the lifting gas being used and the correct formula for the type of balloon. It is also important to double-check your calculations and have a margin of error to account for any changes during flight. Additionally, make sure to follow all safety guidelines and procedures when handling and launching weather balloons.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
816
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
1K
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
18
Views
6K
  • Introductory Physics Homework Help
Replies
2
Views
1K
Back
Top