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Math Help - Newton's Law of Cooling

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    Newton's Law of Cooling

    A metal plate that has been heated cools from 180 F to 150 F in 20 minutes when surrounded by an air temperature of 60 F. Use Newton's Law of cooling to approximate its temperature at the end of one hour of cooling.
    Thanks for your help.
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    Quote Originally Posted by nystudent2729 View Post
    A metal plate that has been heated cools from 180 F to 150 F in 20 minutes when surrounded by an air temperature of 60 F. Use Newton's Law of cooling to approximate its temperature at the end of one hour of cooling.
    Thanks for your help.
    let F = temperature of the plate at any time t in minutes

    \frac{dF}{dt} = k(F - 60)

    separate variables and solve the differential equation using the conditions F(0) = 180 and F(20) = 150.
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