Calculating Acceleration of Rising Balloon

AI Thread Summary
To calculate the acceleration of a rising hot-air balloon with an outside-to-inside air density ratio of 1.30, one must consider the buoyant force acting on the balloon. The buoyant force is proportional to the difference in density between the outside air and the air inside the balloon. The acceleration cannot simply be calculated by multiplying the density ratio by gravitational acceleration, as this does not account for the net forces involved. The correct approach involves applying Newton's second law and factoring in the effective weight of the balloon based on the density difference. Thus, a more detailed calculation is required to determine the actual acceleration of the balloon.
iseidthat
Messages
15
Reaction score
0

Homework Statement



What is the acceleration of a rising hot-air balloon if the ratio of the air density outside the balloon to that inside is 1.30? Neglect the mass of the balloon fabric and the basket.


Homework Equations


g=9.81 m/s^s

The Attempt at a Solution



I thought it would just be 1.3 times g=
1.3(9.81)=12.75 m/s

my homework says it is wrong...why?
 
Physics news on Phys.org
if the ratio was 1:1 the acceleration would be 9.81m/s^2 downwards. So how much lighter is the air in the balloon actually?
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

How Do You Calculate the Acceleration of This Inflated Balloon?
Replies
4
Views
2K
How high will a helium balloon rise?
Replies
10
Views
3K
A hot air balloon rises at a constant acceleration
Replies
7
Views
3K
Is Exponential Form Better for Balloon with Inserted Load Calculation?
4
Replies
170
Views
7K
Calculating Motion of a Test Balloon on a Methane Planet
2
Replies
62
Views
4K
How Does Temperature Affect the Lifting Capacity of a Hot Air Balloon?
Replies
18
Views
7K
How Does Changing the Temperature Affect a Hot Air Balloon's Buoyancy?
Replies
17
Views
3K
Hot air balloon buoyancy problem
Replies
10
Views
5K
Balloon in Train: Angles of A, B, and C Explained
Replies
21
Views
3K
Balloon Vacuum: Pressure Calculation w/ R0, σ
Replies
26
Views
2K

Hot Threads

Recent Insights

Back
Top