Solving Newtons Cooling Law: LnT = -kt +LnC

AI Thread Summary
Newton's cooling law is represented by the equation LnT = -kt + LnC, where T is temperature, k is a constant, and C is a constant related to initial conditions. To solve for the constants k and LnC, one needs temperature data over time. Understanding the properties of natural logarithms is essential for manipulating the equation effectively. The discussion emphasizes the need for clarity on the formula's meaning and application in a lab report context. Familiarity with natural logarithm properties can aid in solving the problem.
xlgurulx
Messages
1
Reaction score
0
Newtons cooling law?

Homework Statement


uh for my lab report the problem is i have to solve for the constnat and the lnC? look below


Homework Equations


teacher said something about LnT =Lne^-kt +LnC
transposes into ==> LnT = -kt +LnC
uh and i have the temperatures to do this.. but i don't know exactly what I am trying to do

The Attempt at a Solution


seen as i don't know how to do it and I am only in precalc i don't really get what I am trying to do... as well can someone explain what this formula means?
 
Physics news on Phys.org


xlgurulx said:

Homework Statement


uh for my lab report the problem is i have to solve for the constnat and the lnC? look below


Homework Equations


teacher said something about LnT =Lne^-kt +LnC
transposes into ==> LnT = -kt +LnC
uh and i have the temperatures to do this.. but i don't know exactly what I am trying to do

The Attempt at a Solution


seen as i don't know how to do it and I am only in precalc i don't really get what I am trying to do... as well can someone explain what this formula means?

Welcome to PF.

Here is a link that discusses the properties of natural logarithms:
http://en.wikipedia.org/wiki/Natural_logarithm

Perhaps that will help you understand the transform.
 

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

Newton's second law (My turtle named Newton being accelerated)
Replies
9
Views
2K
How Does Newton's Law of Cooling Affect Heat Loss Calculations?
Replies
2
Views
2K
Explanation for Newton II giving negative mass in my Physics lab results please
Replies
44
Views
3K
How Is Newton's Law of Cooling Derived?
Replies
1
Views
4K
Having a hard time learning Newton's 2nd law
Replies
5
Views
2K
Rocket acceleration problem: confused about Newton's 2nd Law
Replies
42
Views
5K
Newton's law problem: Pushing 2 stacked blocks on a horizontal table
Replies
13
Views
3K
Calculating Time of Death Using Newton's Law of Cooling
Replies
10
Views
3K
How many discs will slide off the board as it decelerates?
Replies
17
Views
1K
Verifying that Newton's Equations are equivalent to the EL equations
Replies
15
Views
1K

Hot Threads

Recent Insights

Back
Top