How Do You Calculate Wavelength in a Standing Wave Scenario?

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Homework Help Overview

The discussion revolves around calculating the wavelength in a standing wave scenario involving a spring held 4 meters apart with 5 nodes. Participants are exploring the relationship between nodes and wavelengths in the context of wave mechanics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the wavelength based on the number of nodes and waves, leading to a discrepancy with another participant's result. Questions arise regarding the definition of a full wave and how it relates to the nodes present.

Discussion Status

Participants are actively engaging in clarifying the definitions of waves and nodes. Some guidance has been offered regarding the characteristics of a full wave, but no consensus has been reached on the correct calculation method.

Contextual Notes

There appears to be confusion regarding the interpretation of nodes and the definition of a full wave, which may impact the calculations being discussed. The original poster's method and the alternative approach presented by another participant highlight differing assumptions about wave structure.

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Homework Statement



Sally sue and her partner hold a spring 4 meters apart. There were 5 nodes in the standing waves produced. Sally moved her hand from the rest position back and forth along the floor 20 times in 4 seconds. F

Homework Equations





The Attempt at a Solution


Since there are 5 nodes, we are considering 4 waves, therefore 4 meters/4 waves = 1 meter.
However, someone else got they answer to be 2. What is the correct solution and why?
 
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Draw out a picture where you have 5 nodes, see how many FULL waves you have.
 


A full wave includes both a crest and a trough not just one or the other.
 


Yes a wavelength includes one crest and one trough in the picture of this problem.
 

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