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Mathematics 7 Online
OpenStudy (anonymous):

Newton's Law of Cooling Equation?

OpenStudy (anonymous):

does anyone know it?

OpenStudy (anonymous):

T2 = T0 + (T1 - T0) * e(-k * Δt)

OpenStudy (hba):

Do u know the experiment ?

OpenStudy (anonymous):

Here's the problem: "This law states that the change in temperature of an object over time t, denoted T′, varies directly with the difference between the temperature of the object T and the temperature of the surrounding environment, or ambient temperature, A. Letting –k represent the constant or variation for a positive value of k, write an equation to represent Newton's Law of Cooling."

OpenStudy (anonymous):

gotta get the Newton's Law of Cooling from that..

OpenStudy (anonymous):

@telltoamit I think that one is waay to complicated...

OpenStudy (anonymous):

T2 - T0 = (T1 - T0) * e(-k * Δt) now??

OpenStudy (anonymous):

stil too complicated.. did u read the problem text?

OpenStudy (anonymous):

sorry, cant get simpler than that

OpenStudy (anonymous):

Should be something like this.. I found it on yahoo answers. but don't know how to write it:

OpenStudy (anonymous):

T = A + Se^(-kt) where T = temperature at any instant A = temperature of surroundings (ambient temperature) S = initial temperature (I used S for starting) t= elapsed time and k is a constant determined by the conditions.

OpenStudy (anonymous):

not sure bout this

OpenStudy (anonymous):

@hartnn hi! :)

hartnn (hartnn):

hello :)

OpenStudy (anonymous):

can you help me? :)

hartnn (hartnn):

\[T \prime \alpha (T-A)\] so \[T \prime = -k(T-A)\]

hartnn (hartnn):

the exponential part is not mentioned in the problem

OpenStudy (anonymous):

perfect!!!! thank you thank you thank you :)

hartnn (hartnn):

how do u know its perfect? do u have options?

OpenStudy (anonymous):

because all the variables of the problem are there

OpenStudy (anonymous):

nope don't have "already made" options like multiple choice

hartnn (hartnn):

ok,ok..but the actual law does have exponential part.....

OpenStudy (anonymous):

yup. just a simpler one this time.. I'm doing Algebra 2

OpenStudy (anonymous):

thank you!

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