'Tangled' physics

Nov 24, 2010 By Chris Gorski

Disney's new movie, "Tangled," features the familiar fairy tale character of Rapunzel. The new film promises many twists on the beloved tale, but her long locks will remain prominently featured.

In the Brothers Grimm story of Rapunzel, a witch holds a beautiful young woman captive in a tower. Rapunzel is blessed with a lovely singing voice and long, long blond hair.

One day, her voice enchants a prince passing through a nearby forest. They fall in love,
and Rapunzel lets down her hair so that the prince may use it to climb the tower to meet her. This chain of events may lead curious readers to ask a question. Can human hair support the weight of another person?

On average, one strand of hair can support just under 100 grams, or about the weight of two candy bars. Strands of darker hair are generally thicker, and therefore stronger, than
blond hair. But alas, Rapunzel must make do with blond locks. Given that blondes generally have about 140,000 hairs on their heads, Rapunzel's hair should easily support the weight of many climbing princes.

However, there is more to this story.

If Rapunzel simply let down her hair and the prince started climbing immediately, her hair would not break, but it might rip out. Also, the rest of her body might not be able to support the weight. Thankfully, there are strategies that she can use to help reduce the strain on her head and body.

Nathan Harshman, a physicist at American University in Washington, suggested Rapunzel would be safer and more secure if she tied her hair around something before lowering it.

"The whole idea is that you can use the of the against itself in the knot, and whatever it is tied around will support the of the prince," Harshman said. That seems to be a much better idea than making Rapunzel's scalp the anchor point.

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designmemetic
not rated yet Nov 25, 2010
The legend specifically mentions she tied her hair around a hook.

However, the height of the window of above the ground could be a problem. According to the legend it was on the twelfth year that Rapunzel was put in the castle. How long would her hair be at 12 years old? Did she have enough to cut some of it off and make a hair weave to extend it to the length required?