A string of length 10.0 m is tied between two posts and plucked. This sends a wave
down the string moving at a speed of 130 m/s with a frequency of 215 Hz. How many
complete wavelengths of this wave will fit on the string?
My! You must be suffering an identity crisis! You've posted 7 physics questions under 7 different names.
Please use the same name for your posts.
N=L/λ =Lf/v =10•215/130=16.5 => 16
To find out how many complete wavelengths of this wave will fit on the string, we need to determine the wavelength of the wave.
The formula to calculate the wavelength of a wave is:
wavelength = speed / frequency
Given:
Speed = 130 m/s (speed of the wave)
Frequency = 215 Hz (frequency of the wave)
Using the formula:
wavelength = 130 m/s / 215 Hz
Calculating the wavelength:
wavelength = 0.6047 m
Now, to determine the number of complete wavelengths that can fit on the string, we divide the length of the string by the wavelength of the wave:
number of complete wavelengths = length of the string / wavelength
Given:
Length of the string = 10.0 m
Calculating the number of complete wavelengths:
number of complete wavelengths = 10.0 m / 0.6047 m
Number of complete wavelengths = 16.52 (approximately)
Therefore, approximately 16 complete wavelengths of this wave will fit on the string.
To find the number of complete wavelengths that will fit on the string, we need to use the formula:
wavelength = speed / frequency
Given:
Speed of the wave (v) = 130 m/s
Frequency of the wave (f) = 215 Hz
Applying the formula, we get:
wavelength = 130 m/s / 215 Hz
To calculate the number of complete wavelengths on the string, we need to divide the length of the string by the wavelength of the wave.
Length of the string = 10.0 m
Let's calculate the wavelength first:
wavelength = 130 m/s / 215 Hz = 0.604651 m
Now, the number of complete wavelengths can be found by dividing the length of the string by the wavelength:
Number of complete wavelengths = 10.0 m / 0.604651 m
Calculating this, we get:
Number of complete wavelengths ≈ 16.5
So, approximately 16.5 complete wavelengths will fit on the string.