Originally Posted by

**^_^Engineer_Adam^_^** 1.)...

3.) A beam of unknown temperature. An aluminum beam was brought into a machine shop where the temperature was held at 65 degrees F. After 10 minutes, the beam's temperature was 35 degrees F and after another 10 minutes it was 50 degrees Farenheight. Use Newton's Law of cooling to estimate the beam's initial temperature.

(The formula is T - Ts = ( To - Ts) e ^ -kt

where T is the temperature of the hot object at time t, Ts is the surrounding temperature that is assumed constant, To is the value of T at time zero and k is called the heat transfer coefficient, also a constant. The equation is also applicable to the case of a warming object.)