Concept explainers
a.
To find: the parametric equation to model its motion.
a.
Answer to Problem 46E
The parametric equation is
Explanation of Solution
Given information:
Centre of Ferris wheel is
Calculation :
We have to find the parametric equation to model its motion.
Radius is 30 and the centre is
Therefore,
First, we will find the value when Ferris wheel makes 1 revolution every 10 seconds.
Putting the value of
Hence, the parametric equation is
b.
To find: the rate of horizontal and vertical movement of the point P when
b.
Answer to Problem 46E
The value of horizontal movement when
Explanation of Solution
Given information:
Centre of Ferris wheel is
Calculation :
We have to calculate the rate of horizontal and vertical movement of the point P when
Therefore,
Putting the value of
Putting the value of
Differentiate with respect to t .
Putting the value of
Again, putting the value of t = 8 in equation (1),
Hence, the value of horizontal movement when
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
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