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About Alon Mandes
Expertise
Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

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1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

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Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

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M.A in Mathematics & Bs.c in Electronics.

 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > newton's law of cooling

Calculus - newton's law of cooling


Expert: Alon Mandes - 8/25/2008

Question
in newton's law of cooling [ dT/dt = -k (T-Ts) ]: what does 1/k represent? [k being the constant in newton's law of cooling.]
does it represent the temperature constant or the time constant?
Thanks!

Answer
k is a positive constant of proportionality that depends on the material properties of the object.I's also called the decay constant. This constant governs the rate of cooling per minute.
This positive constant characteristic of the system, must be in units of 1/time, and is therefore sometimes expressed in terms of a time constant: k = 1/t0. Hence, 1/k is expressed in term of time
units.

Alon.  

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