To Describe: The path of the object and the time taken to complete one revolution
Answer to Problem 27E
The radius of the circle is 1
The orientation of motion is clockwise.
The time required for one complete revolution around the circle is
Explanation of Solution
Given:
Calculation:
Find the radius r of a circle is given by
On substituting
Using the identity
Hence, the radius of circle is
On putting
Thus, the position of the object at
On putting
On putting
As the value of x increases, value of y decreases and when the value of y increases the value of x decreases.
The orientation of motion is clockwise.
Find the time t taken for one complete revolution around the circle.
On putting
On putting
As the values of x and y are same at
Hence, the time required for one complete revolution around the circle is
Conclusion:
Therefore, the radius of the circle is 1
The orientation of motion is clockwise.
The time required for one complete revolution around the circle is
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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