(a)
To find: The parametric equation for the involute by expressing the coordinates
(a)
Answer to Problem 52E
The required parametric equation is
Explanation of Solution
Given Data:
The radius of the circle is a and cantered at the origin with the equation of the circle is
Calculation:
Then, from the above data and the geometry of the figure shows that the parametric equation of the involute is,
(b)
To find: The length of the involute for
(b)
Answer to Problem 52E
The required length is
Explanation of Solution
Consider the parametric equation are,
The derivative with respect to t is,
Then, the derivative of
Consider the length of the parametric curve is obtained as,
Then, for the interval
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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