Thermal Expansion Problem

Thermal Expansion Problem

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  • Ma'am, calm down what can we help you with?
  • I was driving on that bridge when I saw a gap in the bridge. It scared me so bad, so I got out of my car to see what it was. Why is there a gap?
  • Oh I see, when building a bridge, they give the bridge joints. Those joints expand when the weather is hot, like today.
  • Oh ok, since it's 30 degrees Celsius today, how big would the gap be?
  • Since it is 30 degrees today, the gap would be 0.9 centimeters. If it was 5 degrees hotter, the gap would be 0.65 centimeters, and if it was like -10, the gap would be 2.9 centimeters.
  • Ok, so how hot would it have to be for the gap to close all the way?
  • From what we know, it would have to be 48 degrees Celsius for the gap to close all the way. 
  • This all sounds very familiar,isn't this slope or something along those lines? I'm having flashbacks from high school, hahaha. 
  • Actually yes, this can be represented as slope. The slope is the rise over the run of a situation on a graph. So in this case, it would be -1/20.  For every -1 degree hotter or colder, there would be 20 open or closed centimeters.
  • And while we are on the topic, the "y-intercept" of this situation on a graph would be 12/5, which is the same as the width intercept. And same for x, that would be 48, because that is when the graph closes. 
  • Sorry, I was obsessed with math in school , so I get this kinda stuff.
  • That makes a lot of sense, thank you guys so much for the help!! Sorry for the false alarm!!
  • No, it was our pleasure!!
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