Ξ cm = 4.9 sin (1.06 x - 0.77 t) - Determine Travelling Speed of Wave

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Homework Help Overview

The problem involves determining the traveling speed of a wave described by the equation ξ cm = 4.9 sin (1.06 x - 0.77 t), focusing on the relationship between angular frequency and wave number.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss using the formula V = ω/k to find the wave speed, with some attempting to calculate values based on given parameters. Others explore alternative methods involving wavelength and frequency.

Discussion Status

Some participants have provided calculations and expressed uncertainty regarding the correctness of their results. Guidance has been offered to check units and ensure proper conversions are applied.

Contextual Notes

Participants are working under specific constraints regarding the format of their answers, including significant figures and unit requirements.

05holtel
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Homework Statement



The equation of a wave along the x-axis is given as: ξ cm = 4.9 sin (1.06 x - 0.77 t)
in which ξ is the displacement. Units on the right hand side are 1/cm for К and 1/s for ω.
Determine the the traveling speed of the wave.
Express the result in the unit m/s and to three significant figures. If you must use scientific notation, please enter as follows: e.g. 0.000123 = 1.23E-4. Only answer in numerical values, no units. For negative numbers, leave no space between the negative sign and the number: e.g. right: -1.00, wrong: - 1.00.


Homework Equations



I would think V= w/k

The Attempt at a Solution



V = 0.77/1.06
= 0.726

This is the wrong answer
 
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lambda = 2*pi/1.06
frequency f = 2*pi/077
v = f*lambda.
Try this one.
 
(2*pi/1.06)(2*pi/0.77)
v = 48.3

It says it is wrong. Are the units m/s?
 
Your initial method is correct. Try writing in the units to see what units your answer is in and then convert it if necessary.
 

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