As you walk, your body moves up and down. If you are wearing a backpack, the motion of your body drives the backpack up and down as well, and investigators are exploring the idea of using this motion to generate electricity, using the motion of the backpack relative to a frame fixed to the body to power a generator. The figure below shows data for the motion of the mass of a 29 kg backpack for a person walking at 1.5 m/s. This system can be surprisingly efficient. In one test, the energy output of the generator was an average of 12 W, and, compared to a regular 29 kg backpack, it required only 19 W of additional metabolic power for a person to carry. What is the maximum vertical speed of the mass? At what times in the graph does the mass reach its maximum kinetic energy? What is the maximum kinetic energy of the mass? What is the maximum vertical acceleration of backpack? What maximum force would this provide to the generator system?

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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
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Chapter12: Fluid Dynamics And Its Biological And Medical Applications
Section: Chapter Questions
Problem 7CQ: Give an example of entrainment not mentioned in the text.
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PH 121 Quiz #10

As you walk, your body moves up and down. If you are wearing a backpack, the motion of your body drives the backpack up and down as well, and investigators are exploring the idea of using this motion to generate electricity, using the motion of the backpack relative to a frame fixed to the body to power a generator. The figure below shows data for the motion of the mass of a 29 kg backpack for a person walking at 1.5 m/s. This system can be surprisingly efficient. In one test, the energy output of the generator was an average of 12 W, and, compared to a regular 29 kg backpack, it required only 19 W of additional metabolic power for a person to carry.

  1. What is the maximum vertical speed of the mass?

  2. At what times in the graph does the mass reach its maximum kinetic energy? What is the maximum kinetic energy of the mass?

  3. What is the maximum vertical acceleration of backpack? What maximum force would this provide to the generator system?

  4. What is the efficiency of conversion of metabolic power to electric power for this system? (The efficiency exceeds the assumed 25% efficiency of the muscles in the body, implying that people wearing the backpack modified their gait to provide additional efficiency.)

 

 

2
Position
of load
(cm)
-2
0.2
0.4
0.6
0.8
1.0
Time (s)
4-
Transcribed Image Text:2 Position of load (cm) -2 0.2 0.4 0.6 0.8 1.0 Time (s) 4-
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