A wave on a rope has 6 nodes, including one at each end. If the wave train or system of waves is 5 meters long, what is the wavelength?
start at one end and count the nodes ... how many waves?
wavelength = 5 m /(number of waves)
so the answer is 2m?
5/6 =.83?
To find the wavelength, we need to divide the total length of the wave train by the number of nodes (including the end nodes).
In this case, the total length of the wave train is given as 5 meters and there are 6 nodes.
Step 1: Subtract the number of end nodes from the total number of nodes:
Number of interior nodes = Total number of nodes - Number of end nodes
= 6 - 2
= 4
Step 2: Divide the total length of the wave train by the number of interior nodes:
Wavelength = Total length / Number of interior nodes
= 5 meters / 4
= 1.25 meters
Therefore, the wavelength of the wave on the rope is 1.25 meters.
To find the wavelength of a wave, you need to know the number of nodes and the length of the wave train. In this case, you mentioned that the wave on the rope has 6 nodes, including one at each end, and the wave train is 5 meters long.
The number of nodes in a wave is equal to one more than the number of half-wavelengths in the wave train. In this case, there are 6 nodes, so there are 6 - 1 = 5 half-wavelengths.
To find the wavelength, you can divide the length of the wave train by the number of half-wavelengths in it. Therefore, the wavelength is 5 meters divided by 5 half-wavelengths, which results in a wavelength of 1 meter.
So, the wavelength of the wave on the rope is 1 meter.