Work in Calculus

Work in Calculus

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Storyboard Description


Storyboard Text

  • Geez, this is heavy...
  • At the Factory, Jill and Chris work their hardest to get a huge 800lb cable up to the construction site to make sure the crane is completely built.  
  • Boy, you're not kidding...
  • Prime time
  • Fellow scientists watch from afar at the crane being built, the length of the cable being 200ft when it is complete. Perhaps a tad too much. They gaze at their mathematical prowess, proud of the calculus skills they have. 
  • Is that going to hold?
  • Probably...
  • I think
  • After the completion of the huge crane, the scientists now wonder how much work that must be done to lift the bottom end of the cable to the very tippy-top of the crane. 
  • And complete!
  • Is it supposed to creak and wobble?
  • But what if the cable was a spring, scaled down to 20 cm? If a 40 N force is required to stretch it to 30 cm, how much work is needed to stretch it to 35 to 38 cm? 
  • What are you talking about?
  • Meanwhile, at the scientists house...
  • I mean, if the rope weighs 3 lbs/ft, and it's attached to a bucket full of 300 lbs of makeup. And the bucket is at the bottom of a building at 300 ft. How much work is needed to lift it all the way to the top?
  • Can't believe I live with this...
  • I mean, that's how we met. In calculus class doing math together.
  • Well...this is fun
  • Victor Gildo, Period 5th, AP Calc, 3 Jun 2019
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