The physics of circular motion sets an upper limit to the speed of human walking. (If you need to go faster, your gait changes from a walk to a run.) If you take a few steps and watch what's happening, you'll see that your body pivots in circular motion over your forward foot as you bring your rear foot forward for the next step. As you do so, the normal force of the ground on your foot decreases and your body tries to "lift off" from the ground. A. A person's center of mass is very near the hips, at the top of the legs. Model a person as a particle of mass m at the top of a leg of length L. Find an expression for the person's maximum walking speed vmax Express your answer in terms of the variables L and appropriate constants. b.)Evaluate your expression for the maximum walking speed of a 70 kg person with a typical leg length of 70 cm . Give your answer in m/s. c.) Give your answer in mph.
The physics of circular motion sets an upper limit to the speed of human walking. (If you need to go faster, your gait changes from a walk to a run.) If you take a few steps and watch what's happening, you'll see that your body pivots in circular motion over your forward foot as you bring your rear foot forward for the next step. As you do so, the normal force of the ground on your foot decreases and your body tries to "lift off" from the ground. A. A person's center of mass is very near the hips, at the top of the legs. Model a person as a particle of mass m at the top of a leg of length L. Find an expression for the person's maximum walking speed vmax Express your answer in terms of the variables L and appropriate constants. b.)Evaluate your expression for the maximum walking speed of a 70 kg person with a typical leg length of 70 cm . Give your answer in m/s. c.) Give your answer in mph.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The physics of circular motion sets an upper limit to the speed of human walking. (If you need to go faster, your gait changes from a walk to a run.) If you take a few steps and watch what's happening, you'll see that your body pivots in circular motion over your forward foot as you bring your rear foot forward for the next step. As you do so, the normal force of the ground on your foot decreases and your body tries to "lift off" from the ground.
A.
A person's center of mass is very near the hips, at the top of the legs. Model a person as a particle of mass m at the top of a leg of length L.
Find an expression for the person's maximum walking speed vmax
Express your answer in terms of the variables L and appropriate constants.
b.)Evaluate your expression for the maximum walking speed of a 70 kg person with a typical leg length of 70 cm . Give your answer in m/s.
c.) Give your answer in mph.
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