What Is the Correct Velocity of the Standing Wave?

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SUMMARY

The correct velocity of a standing wave oscillating at 100 Hz is determined using the formula Velocity = (wavelength) x (frequency). The wavelength provided in the discussion is 20 x 10-2 meters, which converts to 20 cm. However, the calculation of velocity as 20 meters per second is incorrect due to unit inconsistency. The correct approach requires ensuring that all measurements are in the same unit system, specifically meters.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with the formula for wave velocity
  • Knowledge of unit conversions between centimeters and meters
  • Basic skills in drawing sine waves and identifying their properties
NEXT STEPS
  • Review the principles of wave mechanics and standing waves
  • Study unit conversion techniques, particularly between metric units
  • Learn how to accurately draw and interpret sine waves
  • Practice solving problems involving wave velocity using different frequencies and wavelengths
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Students studying physics, particularly those focused on wave mechanics, as well as educators seeking to clarify concepts related to standing waves and their properties.

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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