Rank the following waves in order

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Homework Help Overview

The problem involves ranking waves based on their angular frequencies as described by given equations. The subject area pertains to wave mechanics and angular frequency concepts.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the reasoning behind the original ranking attempt and question the understanding of angular frequency. Some suggest substituting the letters with actual frequency values to clarify the ordering.

Discussion Status

The discussion has seen participants questioning the original poster's reasoning and suggesting ways to approach the problem, including looking up definitions and understanding units. There appears to be a realization of the simplicity of the problem as the discussion progresses.

Contextual Notes

There is mention of uncertainty regarding the actual frequency values and a lack of familiarity with the general formula for wave equations. The original poster expresses confusion about the problem setup.

sona1177
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Homework Statement


Rank the waves described by the following equations by their angular frequency, from smallest to largest.

A. y(x,t)=(8.0 mm) sin [64 rad/s)t + (8 rad/m)x]
B. y(x,t)= (12 mm) sin [(77 rad/s)t + (7 rad/m)x]
C. y(x,t)= (16 mm) sin[(16 rad/s)t + (6 rad/m)x]
D. y(x,t)= (13 mm) sin [28 rad/s)t + (5 rad/m)x]
E. y(x,t)= (16 mm) sin [(39 rad/s)t + (9 rad/m)x]


Homework Equations



My answer: C <E <A < B <D

but this is wrong. can someone please help

The Attempt at a Solution

 
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Why did you settle on that particular ordering? What is your reasoning?
 
sona1177 said:
My answer: C <E <A < B <D
Try replacing the "C", "E", etc. with the actual frequency values. I think you'll see what is wrong then.
 
Well I don't know the actual frequency values. I wrote it as it is given to me. I tried plugging in random numbers and that's the order I get.
 
Look in your textbook. What is the general formula for a wave described by y(x,t)?
 
sona1177 said:
Well I don't know the actual frequency values.
Okay, here's a little hint: what units does angular frequency have?
 
Redbelly98 said:
Okay, here's a little hint: what units does angular frequency have?

Now I realize this problem is so simple, w (angular frequency was given in the problem). order=C < D < E < A < B
 
sona1177 said:
Now I realize this problem is so simple . . .

:biggrin:
 

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