Consider the motion of a point (or particle) on the circumference of a rolling circle. As the

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Consider the motion of a point (or particle) on the circumference of a rolling circle. As the circle rolls, it generates the cycloid

where ω  is the constant angular velocity of the circle and b is the radius of the circle.

Find the maximum speed of a point on the circumference of an automobile tire of radius 1 foot when the automobile is traveling at 60 miles per hour. Compare this speed with the speed of the automobile.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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