Question

the wave function that describes a certain transverse wave at initial time t=0 is y(x,y)= (7.20mm)sin2π[x•0.3m-t•0.0400 s] 

Answer 1

a) amplitude

$$A=7.2\ mm$$

b) wavelength

$$λ=0.3m$$

c) frequency

$$f=\frac{1}{0.04}=25\ Hz$$

d) speed of propagation

$$v=(25)(0.3)=7.5\frac{m}{s}$$

e) period

$$T=0.04\ s$$

f) wave number

$$k=\frac{2\pi}{0.3}=21\ m^{-1}$$

g) direction of propagation of the wave is negative $x$ direction