How Do You Calculate Wavelength in a Standing Wave Scenario?

AI Thread Summary
To calculate the wavelength in a standing wave scenario with 5 nodes, it is essential to recognize that there are 4 full waves present, as each segment between nodes represents a half wave. The correct wavelength is determined by dividing the total distance (4 meters) by the number of full waves (4), resulting in a wavelength of 1 meter. Some confusion arises from miscounting the waves, as a full wave consists of both a crest and a trough. Therefore, the accurate calculation confirms that the wavelength is indeed 1 meter.
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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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