Phase shift and sinusoidal curve fitting - Finding .

AI Thread Summary
The discussion focuses on determining the period, amplitude, and phase shift of the function y = 4sin(2x - pi). The amplitude is identified as 4, and the period is calculated to be 2. The phase shift is suggested to be pi/2, although there is some confusion regarding the calculation of the interval defining one cycle and subinterval width. To generate points for graphing, the recommendation is to use graph paper and plot points in increments of 0.1 radians from 0 to 2π, then extend the plot back to -π radians. This methodical approach is expected to yield a clearer understanding of the sinusoidal function's behavior.
nukeman
Messages
651
Reaction score
0
Phase shift and sinusoidal curve fitting - Finding...

Homework Statement



"Find the period, amplitude, and phase shift of each function. Graph each function. Be sure to label key points"

y = 4sin(2x - pi)


Homework Equations





The Attempt at a Solution



So, I got...

Amplitude = 4
Period = 2pi/2 = 2

Phase shift: Would that be pheta/w ?, So pi/2 ?

Now here is where I get messed up.

I do not know how to get "Interval defining one cycle" and "Subinterval width"

How do I generate points from this?
 
Physics news on Phys.org


First step: Graph paper. Sharp pencil. Eraser. Calculator. Plot points in steps of, say 0.1 radian, for x from 0 to 2Pi radians, plotting y vs. x

Then, complete the plot from 0 back to -Pi radians.

Do this neatly & well, and you'll discover a lot.
 
Last edited:

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

Finding amplitude, period, phase shift on uglier functions
Replies
9
Views
2K
Graphs of sin and cos, how to set points for x values
Replies
2
Views
2K
Finding the Parameters for the Curve y=asin(x-b)+c
Replies
11
Views
3K
Solve the Sin Equation: Amp, Period, Phase Shift, Vert Shift
Replies
1
Views
2K
I Why is there such a difference between the total cross-section data? (simulation vs. experiment)
Replies
0
Views
33
I How Do You Calculate Day-Specific Phase Shifts in Excel for Sine Waves?
Replies
7
Views
3K
Sinusoidal Functions: Niagara Falls Skywheel....
Replies
25
Views
5K
Understanding Phase Shift in Trigonometric Functions
Replies
3
Views
2K
A Fitness function for window length of filter
Replies
1
Views
1K
B Shifting of a Cosine Curve with negative phase angle values
Replies
9
Views
4K

Hot Threads

Recent Insights

Back
Top