(a)
To find: Write the parametric equation to model the motion of Ferris wheel at
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 46E
The parametric equation to model the motion of Ferris wheel is
Explanation of Solution
Given information:
Given that a Ferris wheel with radius 30 ft. makes one revolution every 10 seconds.
The center of the wheel is at
Calculation:
The general form of parametric equation is:
The parametric equation of the circle of radius 30will be given as:
The wheel makes a revolution in 2 seconds.
period=2 seconds.
It is known that
Now the parametric equation of the wheel when there is a point on the Ferris wheel is located at
This is the required parametric equation of motion.
(b)
To find: Find the rate of horizontal movement, and rate of vertical movement,
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 46E
The rate of horizontal movement and rate of vertical movement, at
The rate of horizontal movement and rate of vertical movement, at
Explanation of Solution
Given information:
Given that a Ferris wheel with radius 30 ft. makes one revolution every 10 seconds.
The center of the wheel is at
Calculation:
The parametric equation of the circle of radius 30will be given as:
In order to find the rate of horizontal movement, and rate of vertical movement, of the point
Differentiate
Differentiate
Now substitute
Now substitute
Now substitute
Now substitute
The rate of horizontal movement and rate of vertical movement, at
The rate of horizontal movement and rate of vertical movement, at
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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