Transverse waves on a string have wave speed 8 m/s, amplitude 0.07 m and wavelength 0.32 m. The waves travel in the negative x-direction and at t = 0 the x = 0 end of the string has its maximum upward displacement.
(a) Find the frequency, period and wave number of these wave.
(b) Write a wave function describing the wave.
(c) The transverse displacement of a particle at x = 0.36 m at time t = 0.156 s.
(d) How much time must elapse from the instant in part (c) util the particle at x = 0.36 m next has maximum upward displacement ?