Estimate Decay Coefficient in Ae^-at Graph

AI Thread Summary
To estimate the decay coefficient in the equation Ae^-at from the given graph, one can analyze the damped oscillation data. It is suggested to use the equilibrium position as a reference point for calculations. If the data is experimental, averaging the differences over multiple periods can provide a more accurate estimate. The discussion emphasizes the importance of correctly interpreting the graph for accurate coefficient estimation. Overall, understanding the relationship between the graph and the decay coefficient is crucial for solving the problem.
SuchBants
Messages
23
Reaction score
0

Homework Statement


How can I estimate the decay coefficient in Ae^-at for this graph
w.JPG

I know the equilibrium position

Homework Equations


damped oscillation

The Attempt at a Solution



ad.JPG
not sure if this is right.[/B]
 

Attachments

  • w.JPG
    w.JPG
    74.3 KB · Views: 731
  • ad.JPG
    ad.JPG
    21.6 KB · Views: 492
Physics news on Phys.org
This is right for the first 'period'.
If these are experimental data, you may take a mean value over all possible differences.
 
  • Like
Likes drvrm
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...
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...
Back
Top