Conceptual Physics Alive: Scaling

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Master teacher Paul Hewitt distinguishes surface area and volume with simple demonstrations.

Please note: The digital content will be sent to the email provided during checkout, once your order has been processed. Order will be processed no later than the next business day.
Digital format: The email you will receive will contain a hyperlink to download a .ZIP file containing a digital video (.MP4) and questions set with answers (.PDF).
Notice: This digital content can be used in physical or remote classroom settings (e.g., Google Classroom, Canvas, etc.), or Homeschool. Replicating and distributing this digital content for profit without the authority of the copyright owner is an infringement of the copyright.

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Additional Details

Conceptual Physics Alive: Scaling includes a digital video and questions set with answers.

Observe Paul Hewitt teach in a classroom with real students, using engaging demonstrations and artwork. In this video, surface area and volume are distinguished with simple demonstrations. Several examples are used to illustrate the proportional changes in surface area and volume when objects are scaled up or down in size. Segment length: 39 minutes

Scaling Includes:

  • Hewitt distinguishes area and volume by demonstrating the pouring of water from a spherical shaped container to a cylindrical one.
  • Strength of ants and strength of scaled-up ants compared.
  • Strength of scaled-up ant compared to strength of an elephant.
  • Scaling up a cube to twice size.
  • Demo of eight blocks compared to one block.
  • Cross-sectional area defined.
  • Comparison of sketches of skeletons of cat and an elephant.
  • Sag of toothpick and log compared.
  • In scaling up things, the volume goes up as cube of the increase.
  • Total area compared to cross-sectional area.
  • Ratio of total area to volume compared for scaled-up cubes.
  • Little things have more skin compared to volume than big things.
  • Examples of the consequences of more surface area per volume: Cooking French fries and meatballs Breathing of insects through their skins Intestines Cells and cell division Little people versus big people in cold and hot weather Diets of mice, shrews, tiny birds versus elephants Big ears of elephants Chewing food Falling of small versus big things.
  • Demonstration of terminal velocity with falling coffee filters.
  • Resistance of fall is proportional to the square of falling speed.
  • Demonstration of dropping two Styrofoam balls, one twice the diameter of the other. [They don't fall as the coffee filters because they didn't reach their terminal velocities.]
  • Demonstration of dropping two plastic balls, one twice the diameter of the other, in water. [The demo shows that fluid resistance varies as the square of the falling speed of both the filters in air and the balls in water. Assisted by Ted Brattstrom.]
  • Examples of the faster speeds of big fish and big swimmers compared to their smaller counterparts.

Please note: The digital content will be sent to the email provided during checkout, once your order has been processed. Order will be processed no later than the next business day.

Digital format: The email you will receive will contain a hyperlink to download a .ZIP file containing a digital video (.MP4) and questions set with answers (.PDF).

NoticeThe Conceptual Physics Alive Digital content is protected by copyright laws. Replicating and distributing this digital content without the authority of the copyright owner is an infringement of the copyright. This digital content can be used in physical or remote classroom settings (e.g., Google Classroom, Canvas, etc.), or Homeschool.

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