The wavefunction of a harmonic wave on a stringis y ( x , t ) =0.005 sin (75.3 x
ID: 1677595 • Letter: T
Question
The wavefunction of a harmonic wave on a stringis y(x,t) =0.005sin(75.3x + 218.0t), wherex and y are in m and t is ins. What is the speed of the wave taking positive to be inthe +x direction and negative to be in the -x direction. What is the wavelength of the travelingwave?What is the period of this wave?
The wavefunction of a harmonic wave on a stringis y(x,t) =0.005sin(75.3x + 218.0t), wherex and y are in m and t is ins. What is the speed of the wave taking positive to be inthe +x direction and negative to be in the -x direction. What is the wavelength of the travelingwave?
What is the period of this wave?
Explanation / Answer
wavefunction of a harmonic wave on a string isy(x,t) =0.005sin(75.3x + 218.0t), The above equation is compared with y = A sin ( t + kx ) Amplitude A = 0.005 m angular velocity = 218 rad / sec wave number k = 75.3 speed of thewave v = / k = 218 / 75.3 = 2.895 m/ s wave number k = 2 / wave length of thewave = 2 / k = 8.33*10-2 m period of thewave T = 1 / f = 1 / ( / 2 ) = 2 / = 2*3.14 / 218 = 0.0288 s
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