# Newton's Law of Cooling

• February 11th 2009, 05:22 PM
nystudent2729
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.
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 $F(20) = 150$.