III When you ride a bicycle at constant speed, nearly all the energy you expend goes into the work you do against the drag force of the air. Model a cyclist as having cross-section area 0.45 m² and, be- cause the human body is not aerodynamically shaped, a drag coef- ficient of 0.90. a. What is the cyclist's power output while riding at a steady 7.3 m/s (16 mph)? b. Metabolic power is the rate at which your body "burns" fuel to power your activities. For many activities, your body is roughly 25% efficient at converting the chemical energy of food into mechanical energy. What is the cyclist's metabolic power while cycling at 7.3 m/s? c. The food calorie is equivalent to 4190 J. How many calories does the cyclist burn if he rides over level ground at 7.3 m/s for 1 h?

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Chapter1: Units, Trigonometry. And Vectors
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When you ride a bicycle at constant speed, nearly all the energy
you expend goes into the work you do against the drag force of the
air. Model a cyclist as having cross-section area 0.45 m² and, be-
cause the human body is not aerodynamically shaped, a drag coef-
ficient of 0.90.
a. What is the cyclist's power output while riding at a steady
7.3 m/s (16 mph)?
b. Metabolic power is the rate at which your body "burns" fuel
to power your activities. For many activities, your body is
roughly 25% efficient at converting the chemical energy of
food into mechanical energy. What is the cyclist's metabolic
power while cycling at 7.3 m/s?
c. The food calorie is equivalent to 4190 J. How many calories
does the cyclist burn if he rides over level ground at 7.3 m/s
for 1 h?
Transcribed Image Text:When you ride a bicycle at constant speed, nearly all the energy you expend goes into the work you do against the drag force of the air. Model a cyclist as having cross-section area 0.45 m² and, be- cause the human body is not aerodynamically shaped, a drag coef- ficient of 0.90. a. What is the cyclist's power output while riding at a steady 7.3 m/s (16 mph)? b. Metabolic power is the rate at which your body "burns" fuel to power your activities. For many activities, your body is roughly 25% efficient at converting the chemical energy of food into mechanical energy. What is the cyclist's metabolic power while cycling at 7.3 m/s? c. The food calorie is equivalent to 4190 J. How many calories does the cyclist burn if he rides over level ground at 7.3 m/s for 1 h?
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