The wave function for a harmonic wave on a string is y(x,t)=(0.006m) sin((61.8m^

Question

The wave function for a harmonic wave on a string is y(x,t)=(0.006m) sin((61.8m^-1)+(309s^-1)t).
1)find the wavelength of this wave 2)find its frequency 3)find its period 4)what is the maximum speed of any string segment? The wave function for a harmonic wave on a string is y(x,t)=(0.006m) sin((61.8m^-1)+(309s^-1)t).
1)find the wavelength of this wave 2)find its frequency 3)find its period 4)what is the maximum speed of any string segment?
1)find the wavelength of this wave 2)find its frequency 3)find its period 4)what is the maximum speed of any string segment?

Explanation / Answer

comparing with the general wave equation y(x,t) = A*sin(kx+wt)

here A is amplitude
k is wave number = (2*pi)/lamda

w is angular frequency = 2*pi*f...

1) wavelength lamda = (2*pi)/k = 6.284/61.8 = 0.1016 m

2) frequency f = w/(2*pi) = 309/6.284 = 49.17 Hz...

3) period T = 1/f = 1/49.17 = 0.02033 sec...

4) vmax = A*w = 0.006*309 = 1.854 m/sec

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