How Do You Calculate the Acceleration of This Inflated Balloon?

Click For Summary

Homework Help Overview

The discussion revolves around calculating the acceleration of an inflated balloon given its mass, the mass of helium, volume, and the density of air. The problem is situated within the context of fluid dynamics and forces acting on the balloon as it ascends.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculations for buoyant force and gravitational force, questioning the accuracy of the provided answer key. There is an exploration of the net force and its relation to acceleration.

Discussion Status

Participants express skepticism about the answer key's correctness and seek validation of their calculations. There is a back-and-forth regarding the accuracy of the computed acceleration, with some participants affirming each other's conclusions.

Contextual Notes

Participants are operating under the assumption that air resistance is negligible, and there is a focus on the correctness of the calculations rather than the methodology itself.

vinamas
Messages
43
Reaction score
1

Homework Statement


The mass of an empty balloon is 0.41 kg it got inflated with 0.0938 kg of helium which ressulted in his volume being 0.524 m^3 after being inflated then left to ascend considering the air's density is constant and is 1.30 kg/m^3 what is the acceleration of the balloon (dont consider air resistance)[/B]

Homework Equations


Fb=density*volume*g
Fg=mg
Fnet
a=Fnet/m

The Attempt at a Solution


Fb=1.30*0.524*9.81=6.68257N
Fg=(0.41+0.0938)9.81=4.94N
6.68-4.94=1.74N
1.74/(0.41+0.0938)=3.45 m/s^2
Tye answer sheet says its 16.4?[/B]
 
Physics news on Phys.org
The answer key is wrong.
 
SteamKing said:
The answer key is wrong.
SteamKing said:
The answer key is wrong.
Am I right?
 
vinamas said:
Am I right?
Yes.
 
Chestermiller said:
Yes.
Omg thank you that rarely happens lol
 

Similar threads

Can a Helium-Filled Weather Balloon Accelerate Upwards Faster Than Gravity?
  • · Replies 2 ·
Replies
2
Views
2K
How to Calculate the Height a Helium Balloon Ascends Using Mass and Density
  • · Replies 12 ·
Replies
12
Views
2K
How Do You Calculate the New Density of Kr in a Balloon?
  • · Replies 84 ·
3
Replies
84
Views
8K
Undergrad How Does the Balloon Analogy Explain the Expansion of the Universe?
  • · Replies 5 ·
Replies
5
Views
2K
Calculating Air Density and Temperature in a Hot Air Balloon
  • · Replies 6 ·
Replies
6
Views
8K
Bouyant force accelerates released balloon
  • · Replies 5 ·
Replies
5
Views
2K
How fast does the balloon accelerate upwards?
  • · Replies 3 ·
Replies
3
Views
12K
Calculating Acceleration of Rising Balloon
  • · Replies 1 ·
Replies
1
Views
4K
Calculate how high balloon rises before stopping
  • · Replies 8 ·
Replies
8
Views
12K
How Do You Calculate the Buoyant Force of a Helium Balloon?
  • · Replies 1 ·
Replies
1
Views
10K