Newton’s Law of Cooling!

This post is to give information to my Alaska Math Consortium classmates and teachers. In the first two videos, we have the data collection via digital infrared thermometers and a video.

In the second two videos, the calculus students present their equations and graphs of their results to the class.

To gather your own data from the videos, make a table of values, then start in!

 

Stove Data

Newton’s Law of Cooling states that the rate of change in the temperature of an object is proportional to the difference between the object’s temperature and the temperature of the surrounding medium. The differential equation that arises from this is: y’ = k(Y-t)

 

 

Laser Printer

This is a short video and the paper drops from 176 degrees to 75.5 degrees in about 2 minutes.

 

Mug Data Video

Video is spliced together from 4 videos and is quite long. One would want to pick an interval to use like, say 5 minutes. (very long: 56 minutes!) Turns out, a cup of water takes much longer to cool down than a piece of paper.

 

Chris & Blake do a rap up. The battery on the camera died before the end.

 

Chris and Blake do a find job in this video. Unfortunately, the battery died before the end of their presentation.

 

Hunter and Abby do their presentation.

Abby and Hunter have a nice wrap-up here.
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