The velocity of a wave on a string depends on how hard thestring is stretched, a

Question

The velocity of a wave on a string depends on how hard thestring is stretched, and on the mass per unit length of the string.If FT is the tension in the string, and is themass/ unit length, then the velocity, v, can be determined. v = FT/ A piece of string 5.30 m long has a mass of 15.0 g. What mustthe tension in the string be to make the wavelength of a 125-Hzwave 120.0 cm? The velocity of a wave on a string depends on how hard thestring is stretched, and on the mass per unit length of the string.If FT is the tension in the string, and is themass/ unit length, then the velocity, v, can be determined. v = FT/ A piece of string 5.30 m long has a mass of 15.0 g. What mustthe tension in the string be to make the wavelength of a 125-Hzwave 120.0 cm?

Explanation / Answer

Wavelength = 120 cm                      = 1.2 m Frequency f = 125 Hz Velocity v = f                 = 150 m / s We know v = [FT/] from this tension F T = v 2 where = linear density = 0.015 kg / 5.3 m              = 0.00283 kg / m So, F T = 63.67 N

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