Question #279414

A standing wave on a string has a frequency of 100 Hz, a wavelength of 0.04 m, and an amplitude of 2 mm. The transverse velocity of the point x = 0.02 m, is:

1
Expert's answer
2021-12-17T18:16:27-0500

Solution.

ν=100Hz;\nu=100Hz;

λ=0.04m;\lambda=0.04m;

A=0.002m;A=0.002m;

v?;v-?;

v=ωA;v=\omega A;

ω=2πν=23.14100=628s1;\omega=2\pi\nu=2\sdot3.14\sdot100=628s^{-1};

v=6280.002=1.256m/s;v=628\sdot0.002=1.256 m/s;

Answer:v=1.256m/s.v=1.256 m/s.


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