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

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The wave equation given is ξ cm = 4.9 sin (1.06 x - 0.77 t), where ξ represents displacement. The traveling speed of the wave can be calculated using the formula V = ω/k, resulting in V = 0.77/1.06, which equals approximately 0.726 m/s. However, this initial calculation was questioned, and alternative methods involving wavelength and frequency were suggested, leading to a different result of 48.3 m/s. Participants emphasized the importance of checking units to ensure the final answer is in m/s. The discussion highlights the need for careful application of wave speed formulas and unit conversions.
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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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