A string is vibrated with a wave that has a wavelength of 6 meters. How long is 1 loop of the standing wave?
To find the length of one loop of the standing wave on the string, we need to understand the concept of a standing wave on a string. In a standing wave, there are certain points on the string called nodes that appear to be stationary. These nodes help us determine the length of one loop.
The distance between two consecutive nodes (or loops) in a standing wave is equal to half the wavelength. So, to find the length of one loop, we need to divide the wavelength by 2.
In this case, the wavelength of the wave is given as 6 meters. So, to find the length of one loop, we divide 6 by 2:
Length of one loop = 6 meters / 2 = 3 meters
Therefore, the length of one loop of the standing wave on the string is 3 meters.