A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank armis 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedalingthe bicycle such that the crank arm rotates once every second.Questions:1. Write an equation that models the vertical position of the foot with respect to theground, starting from the lowest point, as the crank arm turns.2. What is the rate of change of the vertical position of the foot when it is at themidline? Explain your answer3. How fast, in kilometres per hour, is the bicycle moving?4. Determine an equation that would model the foot’s position when the cyclist istraveling 5 km/h. Compare this equation to your equation from question 1 andexplain any differences.5. Use calculus to explain why the rotation velocity of a point on the perimeter of awheel is the same as the velocity of the pedal. Use examples to support youranswer. Velocity TaskIntroduction: The pedal of a bicycle is attached to a crank arm that revolves when thepedal is pushed by a person's foot. As the crank arm turns, it pulls a chain that isattached to the rear wheel of the bicycle, causing the bicycle to move forward.O18 cm16 cmA particular bicycle has wheels that are 66 cm in diameter. The radius of the crank armis 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedalingthe bicycle such that the crank arm rotates once every second.Questions:1. Write an equation that models the vertical position of the foot with respect to theground, starting from the lowest point, as the crank arm turns.2. What is the rate of change of the vertical position of the foot when it is at themidline? Explain your answer3. How fast, in kilometres per hour, is the bicycle moving?4. Determine an equation that would model the foot's position when the cyclist istraveling 5 km/h. Compare this equation to your equation from question 1 andexplain any differences.5. Use calculus to explain why the rotation velocity of a point on the perimeter of awheel is the same as the velocity of the pedal. Use examples to support youranswer.

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Answered: A particular bicycle has wheels that…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank arm
is 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedaling
the bicycle such that the crank arm rotates once every second.
Questions:
1. Write an equation that models the vertical position of the foot with respect to the
ground, starting from the lowest point, as the crank arm turns.
2. What is the rate of change of the vertical position of the foot when it is at the
midline? Explain your answer
3. How fast, in kilometres per hour, is the bicycle moving?
4. Determine an equation that would model the foot’s position when the cyclist is
traveling 5 km/h. Compare this equation to your equation from question 1 and
explain any differences.
5. Use calculus to explain why the rotation velocity of a point on the perimeter of a
wheel is the same as the velocity of the pedal. Use examples to support your
answer.

Velocity Task
Introduction: The pedal of a bicycle is attached to a crank arm that revolves when the
pedal is pushed by a person's foot. As the crank arm turns, it pulls a chain that is
attached to the rear wheel of the bicycle, causing the bicycle to move forward.
O
18 cm
16 cm
A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank arm
is 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedaling
the bicycle such that the crank arm rotates once every second.
Questions:
1. Write an equation that models the vertical position of the foot with respect to the
ground, starting from the lowest point, as the crank arm turns.
2. What is the rate of change of the vertical position of the foot when it is at the
midline? Explain your answer
3. How fast, in kilometres per hour, is the bicycle moving?
4. Determine an equation that would model the foot's position when the cyclist is
traveling 5 km/h. Compare this equation to your equation from question 1 and
explain any differences.
5. Use calculus to explain why the rotation velocity of a point on the perimeter of a
wheel is the same as the velocity of the pedal. Use examples to support your
answer.

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