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Biomedical measurements show that the arms and hands together typically make up

ID: 2054683 • Letter: B

Question

Biomedical measurements show that the arms and hands together typically make up 13.0 of a person's mass, while the legs and feet together account for 37.0 . For a rough (but reasonable) calculation, we can model the arms and legs as thin uniform bars pivoting about the shoulder and hip, respectively. Let us consider a 77.0 person having arms 70.0 long and legs 90.0 long. The person is running at 12.0 , with his arms and legs each swinging through in . Assume that the arms and legs are kept straight.What is the average angular velocity of his arms and legs?Using the average angular velocity from part A, calculate the amount of rotational kinetic energy in this person's arms and legs as he walks. What is the total kinetic energy due to both his forward motion and his rotation? What percentage of his kinetic energy is due to the rotation of his legs and arms?

Explanation / Answer

0.5 m v^2 =KE 2. "12 km/h" has two sig figs, so the conversion to m/s should also have two sig figs, i.e. 3.3 m/s, not 3 m/s. And the final answer would have two sig figs, since the mass "72 kg" also has two sig figs.