What Is the Correct Velocity of the Standing Wave?

AI Thread Summary
The discussion centers on calculating the velocity of a standing wave oscillating at 100 Hz, using the formula velocity = wavelength × frequency. The user initially calculates the wavelength as 20 cm (20x10^-2 meters) and finds the velocity to be 20 meters per second, but doubts the accuracy of this result. Participants point out potential errors, including the need to clarify the wavelength measurement and ensure consistent units throughout the calculation. The importance of accurately representing a full cycle of the sine wave is also emphasized to avoid confusion. Correcting these issues is essential for arriving at the right answer.
Spirochete
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Homework Statement



The standing wave in the picture is oscillating at 100 Hz. What is it's velocity?


Homework Equations



Velocity=(wavelength)(frequency)

I believe is the equation that applies here.


The Attempt at a Solution



The wavelength from the picture appears to be 20x10-2 meters.

So velocity should equal (20x10-2)(100)= 20 meters per second

But I know this answer is wrong. Where am I going wrong?
 

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Spirochete said:

Homework Statement



The standing wave in the picture is oscillating at 100 Hz. What is it's velocity?


Homework Equations



Velocity=(wavelength)(frequency)

I believe is the equation that applies here.


The Attempt at a Solution



The wavelength from the picture appears to be 20x10-2 meters.

So velocity should equal (20x10-2)(100)= 20 meters per second

But I know this answer is wrong. Where am I going wrong?

Why do you say that the wavelength is 20cm? Draw a full cycle of a sine wave -- what does it look like?

Also, be careful with your units. It looks like you are mixing cm and meters in your multiplication and answer...?
 

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