will rate 5 star immediately for correct ans. A sinusoidal wave traveling in the

Question

will rate 5 star immediately for correct ans.

A sinusoidal wave traveling in the - x direction (to the left) has an amplitude of 14.7 cm, a wavelength of 24.5 cm and a frequency of 16.7 Hz. The displacement of the wave at t = 0 and x = 0 is y = -4.8 cm and has a positive velocity here. Find the angular wave number of the wave. Answer in units of rad/m Find the period of the wave. Answer in units of s Find the angular frequency of the wave. Answer in units of rad/s Find the phase velocity of the wave. Answer in units of m/s Find the magnitude of the phase constant of the wave. Answer in units of degree

Explanation / Answer

wave number   k= 2pi/wavelenght = 25.6 rad/m

period   = 1/ frequency = 1/ 16.7 = 0.0598 s

angular frequency   w = 2pif = 2 x 3.14 x 16.7 = 104.876 rad/s

phase velocity    v = w/k = 4.09 m/s

phase velocity

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