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Math Help - tricky DE problem.. heat etc

  1. #1
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    tricky DE problem.. heat etc

    ok everyone... i have this problem its a bonus for class, im preety sure i have the right answer (1139 valentines day)
    here is the problem:: a dead body was found valetines day. in a room with no AC. The daily temperature of the room flucuates according to the function T(t)= 60-10sin (pi*t/12) where t=0 corresponds to midnight on any given day. The body was found at 3:00am feb 15 and the temperature was 78F. 4 hours later the temp was 55F. What is the time of death?

    this is how i have set it up
    78-55=k(60-10sin(pi*t/12) -78)

    correct?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by johan View Post
    ok everyone... i have this problem its a bonus for class, im preety sure i have the right answer (1139 valentines day)
    here is the problem:: a dead body was found valetines day. in a room with no AC. The daily temperature of the room flucuates according to the function T(t)= 60-10sin (pi*t/12) where t=0 corresponds to midnight on any given day. The body was found at 3:00am feb 15 and the temperature was 78F. 4 hours later the temp was 55F. What is the time of death?

    this is how i have set it up
    78-55=k(60-10sin(pi*t/12) -78)

    correct?
    see post #8 here for the set up. you have T_{amb} = 60 - 10 \sin \left( \frac {\pi t}{12} \right)
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