What is the Period of Oscillation Based on Given Coordinates?

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Homework Help Overview

The discussion revolves around determining the period of oscillation based on given coordinates in a sinusoidal waveform context. The original poster provides specific coordinates and attempts to calculate the period using the relationship between distance and time.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between time and distance in oscillatory motion, questioning the assumptions about the segments of the waveform represented by the coordinates. There is a focus on interpreting the time interval as a fraction of the total period.

Discussion Status

Some participants have offered guidance on interpreting the time interval as a quarter of the period, leading to a calculation of the total period. However, there is no explicit consensus on the correctness of the original poster's initial calculation.

Contextual Notes

The discussion includes assumptions about the nature of the waveform and the relationship between the coordinates provided. There is an emphasis on understanding the implications of the time interval in relation to the overall period of oscillation.

whitetiger
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Homework Statement



Now assume that the x coordinate of point R is 0.12m and the t coordinate of point K is 0.0050 s.

What is the period T ?

Homework Equations



T = 1/f where f is the frequency and T is the period.

The Attempt at a Solution



From the graph, there are 2 periods in oscillation. So I guess that the period would be 2T and since it starts at R = .12m and reaches point K in .0050 s . So the velocity is .12m/.0050 s = 24m/s

Not sure if this is correct but, T = 2T = .12m/.005s = T = 12 s
 

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No. The horizontal distance from 0 to K is a quarter of the period of that sinusoidal waveform. Since you are given the time difference from 0 to K, and that is a quarter of the period, what is the total period?
 
berkeman said:
No. The horizontal distance from 0 to K is a quarter of the period of that sinusoidal waveform. Since you are given the time difference from 0 to K, and that is a quarter of the period, what is the total period?

Thank for the help

From what you have said, I can calculate the total period to be (.005)4 = .02s
 
Good. Quiz Question -- what is special about that period?
 

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