A longitudinal wave function is given by yxt 075 sin 030x

A longitudinal wave function is given by y(x,t) = 0.75 sin (0.30x – 655t) in SI units.

a) (1.5 points) What are the amplitude, angular wave number (k), and angular frequency?

b) (0.5 points) What is the propagation velocity?

c) (1 point) Sketch the string’s displacement as a function of position for time t = 0. Label all important points including wavelength.

(a)

longitudinal wave function is,

y(x,t) = 0.75 sin (0.30x – 655t)

Amplitude: A = 0.75 m

wavenumber: k = 0.3 m^-1

angular frequency: w = 655 rad/s

(b)

propagation velocity:

v = Aw = 0.75*655 = 491.25 m/s

(c)