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Q.

Newton's Law of Cooling (Diff EQ)?

Tags: law, education, science
Asked by Motu, 14 Feb 12:00 am
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Answers (1)

1.

Initial conditions given are',
ambient is twenty-fourC
at t=zero or you could use t=seven, T=thirty-sixC
at t=four, T=thirtyC

set up the equation, and find the time when T=thirty-sevenC normal body temperature.

if you're lazy, you can find the general solution to NLC, such as here:

so you don't even have to bother with the diff. eq., just the algebraic equation:
Tt = Tamb + Tzero - Tamb*exp-k*t
Tamb is ambient temp twenty-fourC
Tzero is body temp at time t=zero sevenpm, thirty-sixC ...more
Answered by Mickey, 14 Feb 12:08 am

 
  
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