Solve t: How to Solve 9.0 = 34.2(1 - e-t/2.7)

  • Thread starter Thread starter queenspublic
  • Start date Start date
AI Thread Summary
To solve the equation 9.0 = 34.2(1 - e^(-t/2.7)), first isolate the exponential term to get e^(-t/2.7) = 1 - 0.263158. Taking the natural logarithm of both sides allows for the simplification, as ln(e) equals 1. The discussion highlights the importance of understanding the mathematical constant e and the use of natural logarithms in solving such equations. Familiarity with logarithmic functions is essential for finding the value of t.
queenspublic
Messages
59
Reaction score
0

Homework Statement



9.0 = 34.2(1 - e-t/2.7)

Solve for t

2. The attempt at a solution

.263158 = (1 - e-t/2.7)

What is e?
 
Physics news on Phys.org
queenspublic said:

Homework Statement



9.0 = 34.2(1 - e-t/2.7)

Solve for t

2. The attempt at a solution

.263158 = (1 - e-t/2.7)

What is e?
e-t/2.7 = 1 - 0.263158
Take ln. on both side. Note that ln(e) = 1. Solve for t.
 
e is an extremely useful mathematical constant. Are you familiar with logarithms (specifically natural logarithms)?

Edit- I guess my simple question isn't very helpful when someone gives away the answer right before me...
 
Last edited:

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

Help me solve this integral for the equation of motion
Replies
19
Views
1K
The closest approach of two ships
Replies
4
Views
1K
How much energy does the Earth radiate to space?
Replies
8
Views
2K
Textbook 'The Physics of Waves': Varying Force Amplitude
Replies
3
Views
904
Find the distance a particle travels
Replies
15
Views
1K
How to calculate quality factor for RLC circuit?
Replies
6
Views
1K
Understanding a very simply RL circuit
Replies
1
Views
747
Volume charge density and potential difference in sphere
Replies
6
Views
3K
Tension on Rope in Elevator: Find the Right Formula
Replies
36
Views
4K
Why can we add impedances in series?
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top