
Concept explainers
To find:The equation for the height of point

Answer to Problem 25PT
Explanation of Solution
Given information:
Diameter of water wheel
It makes one revolution in
Height of the top of the wheel represents the height at time
Given
Height of the top of the wheel represents the height at time
So, we need to use Cosine function as at time
The height of water wheel is between
So, its vertical shift is
We know
Amplitude is the difference between maximum height and Vertical shift
We choose cosine function and our maximum is at the right place,
So, there will not be phase shift.
Given
It makes one revolution in
So, period is
We know
Period
Therefore,
We know
If equation in the form
Then
Amplitude
Period
Phase shift
Vertical shift
On substituting values
We get
Graph of above equation is
Therefore,
Required equation is
Chapter 13 Solutions
Algebra 2
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