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November 01, 2025, 03:44:30 pm

Author Topic: solve for T  (Read 783 times)  Share 

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letsride

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solve for T
« on: September 08, 2010, 06:36:08 pm »
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express T in terms of t

this was an anaylis type q based on newtons law of cooling

btw Te, To, k, P, T, t are terms just like x,y,z



im kinda stuck w/ the absolute sign

the answer i think was T = Te + (P/k) + (Te-To-(P/k))e^-kt
« Last Edit: September 08, 2010, 06:41:48 pm by letsride »

letsride

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Re: solve for T
« Reply #1 on: September 08, 2010, 06:53:25 pm »
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i know it gets to e^kt = |[-k(To-Te)+P]/[-k(T-Te)+P]|

w/ the absolute sign, can't you just take it as +-e^kt, however the answer provided throws away the - ???

brightsky

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Re: solve for T
« Reply #2 on: September 08, 2010, 07:26:08 pm »
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If it helps, always try to think of the absolute values signs as .
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letsride

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Re: solve for T
« Reply #3 on: September 08, 2010, 07:34:48 pm »
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don't understand how the answer is T = Te + (P/k) + (Te-To-(P/k))e^-kt unless you ignore the absolute :s

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Re: solve for T
« Reply #4 on: September 09, 2010, 02:18:34 am »
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Here:



And then, there will be some other constraints you'll use to eliminate negative option from the
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