A transverse sinusoidal wave is moving along a string in the opposite direction of an x axis with a speed of 70m/s. At t=0 the string particle at x=0 has a transverse displacement of 4.0 cm and is not moving. The maximum transverse speed of the string particle at x=0 is 16m/s. (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If y(x,t) `=y_(m) sin (kx pm omega t+phi)` is the form of the wave equation, what are (c) `y_(m), (d) k, (e) omega (f) phi`, and (g) the correct of sign in front of `omega?`

Answer

(a) 64 Hz; (b) 1.1 m; (c) `4.0 xx 10^(-2) m` (d) 5.7 rad/m (e) `4.0 xx 10^(2)` rad/s (f) pi/2, (g) minus sign