The equation of a transverse wave on a string is . The tension in the string is 15 N . (a)What is the wave speed? (b)Find the linear density of this string in grams per meter.
a) The speed of the wave is
b) The linear density of this string is
The product of the frequency and wavelength of the wave, gives us the wave speed. The linear density is the term used in place of the mass per unit length of the string.
The speed of the wave, (i)
The formula for the linear density of distribution, (ii)
Using the equation (i) and the required given values, the wave speed is given as:
Hence, the value of the wave speed is
Using equation (i) and the value of wave speed, we get the linear density as:
Hence, the value of the linear density of the string is
In Fig. 16-50, a circular loop of string is set spinning about the center point in a place with negligible gravity. The radius is 4.00 cm and the tangential speed of a string segment is 5.00cm/s . The string is plucked. At what speed do transverse waves move along the string? (Hint: Apply Newton’s second law to a small, but finite, section of the string.)
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