A transverse wave, frequency 15.0 Hz, travels along a string. Distance between a crest and an adjacent trough is 3.50m. What is its wavelength?
wouldn't wavelength be twice 3.50m?
To find the wavelength of a wave, you need to use the formula:
wavelength = speed of the wave / frequency
However, in this question, the speed of the wave is not given. So, to find the wavelength, we can use another formula:
speed = wavelength * frequency
Given that the frequency is 15.0 Hz and the distance between a crest and an adjacent trough (which is the wavelength) is 3.50 m, we can substitute these values into the formula:
speed = 3.50 m * 15.0 Hz
Now, we can calculate the speed of the wave:
speed = 52.5 m/s
With the speed of the wave known, we can substitute it back into the original formula to find the wavelength:
wavelength = speed / frequency = 52.5 m/s / 15.0 Hz
Calculating the wavelength:
wavelength ≈ 3.50 m / 15.0
wavelength ≈ 0.233 m
Therefore, the wavelength of the transverse wave is approximately 0.233 meters.