At the gym, you notice a girl doing a “plank.” In this exercise, she holds the position shown without moving. You approximate she supports four-tenths of her weight on each arm. Out of curiosity, you want to calculate the change in length of her arm due to compression by her body weight. Assume she weighs 52 kg, her arm is 30. cm long prior to the plank, and her arm is 5.0 cm in diameter. You realize that it is actually the bone that is supporting her weight, rather than the muscles and other tissues that make up the rest of her arm, so you guess the humerus is the main bone involved with the same initial length as the arm and an average radius of 2.5 cm. If Young’s modulus for bone under compression is 22 GPa, how much does the bone compress?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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At the gym, you notice a girl doing a “plank.” In this exercise, she holds the position shown
without moving. You approximate she supports four-tenths of her weight on each arm. Out of curiosity,
you want to calculate the change in length of her arm due to compression by her body weight. Assume
she weighs 52 kg, her arm is 30. cm long prior to the plank, and her arm is 5.0 cm in diameter. You
realize that it is actually the bone that is supporting her weight, rather than the muscles and other
tissues that make up the rest of her arm, so you guess the humerus is the main bone involved with the
same initial length as the arm and an average radius of 2.5 cm. If Young’s modulus for bone under
compression is 22 GPa, how much does the bone compress?

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