August 5th, 2012, 10:09 PM  #1 
Newbie Joined: Aug 2012 Posts: 1 Thanks: 0  Newton's law
The Question: The Temperature M(t) outside a building decreases at a constant rate of 1degree per hour. The inside of the building is heated and there is no other source of cooling. The heater was switched on at time t=0, when the temperature inside, T(t), was 17 degrees and the temperature outside was 0 degrees. Assume the the heater generates a constant amount h= 50000 Btu/hr of heat when it is working, the heat capacity of the building is 1/5 degrees per thousand Btu, and the time constant for heat transfer between the outside and the inside of the building is 2hr. On the basis of Newton's law of cooling, DT(t)/st= K(M(t)T(t) + h find the upper value of the temperature in the building in the time interval 0<=t<4 hr. My problem: I am having troubles starting this question off, the constant rate decreasing outside, is confusing me. AS well I have no idea where I am going to use the 2hr part at the end.. Please Help 
August 7th, 2012, 10:17 AM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Newton's law Quote:
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