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Q.62

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Found in: Page 230

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# 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 and, because the human body is not aerodynamically shaped, a drag coefficient of . a. What is the cyclist’s power output while riding at a steady ? b. Metabolic power is the rate at which your body “burns” fuel to power your activities. For many activities, your body is roughly efficient at converting the chemical energy of food into mechanical energy. What is the cyclist’s metabolic power while cycling at ? c. The food calorie is equivalent to How many calories does the cyclist burn if he rides over level ground at ?

a. The output power of the cyclist is .

b. The metabolic power of the cyclist is .

c. The amount of energy burnt by the cyclist is .

See the step by step solution

## Step 1: Content Introduction

The output power of the cyclist due to drag force is

The equation of the drag force is,

Here, is the drag coefficient, is density, is cross section area.

## Step 2: Explanation (Part a)

The output power of the cyclist is

## Step 3: Explanation (Part b)

The efficiency of body converting chemical energy into mechanical energy is

## Step 4: Explanation (Part c)

The metabolic power of the cyclist is