One end of a horizontal rope is attached to a prong of an electrically driven tuning fork that vibrates the rope transversely at 120 Hz. The other end passes over a pulley and supports a 1.50-kg mass. The linear mass density of the rope is 0.0480 kg/m. What is the wavelength?
a. 0.416m
b. 0.461m
c. 0.641m
d. 0.146m
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Calculate the speed of a transverse wave on the rope by the relation,
…… (1)
Where, is the tension on the rope and be the linear mass density of the rope.
First calculate the tension on the rope by the relation,
Where, is the original mass attached to the rope and is the acceleration due to gravity.
Substitute For And For,
Substitute For And Foring equation (1),
Hence, the speed of the transverse wave on the rope for 1.5 kg mass is
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