The equation of a wave travelling on a string is
y = (010 mm) sin[(314 m−1) x+ (314 s−1) t].
(A) In which direction does the wave travel? (B) Find the wave speed, the wavelength and the frequency of the wave. (C) What is the maximum displacement and the maximum speed of a portion of the string?
A. negative x-direction
The structure of the equation is y = A sin(kx + ωt)
Comparing with y = A sin(ωt - kx) we find x є R-
B. 10 m s−1, 20 cm, 50 Hz
Wave speed
Wavelength,
Frequency
C. 0.10 mm, 3.14 cm s−1
Maximum displacement is the amplitude.
So, it will be, 0.10mm.
Now,
Now the maximum speed will be,