A wave travelling along a string is described by y(x, t) = 0.005 sin (80.0 x – 3.0 t), in which the numerical constants are in SI units (0.005 m, 80.0 rad m^-1) and  3.0 rad s^-1. 

Calculate 

(a) the amplitude

(b) the wavelength, and 

(c) the period and frequency of the wave

On comparing this displacement equation with, y (x, t ) = a sin (kx – ωt)

(a)The amplitude of the wave is 0.005 m = 5 mm.

(b) The angular wave number k and angular frequency ω are k = 80.0 m–1 and ω = 3.0 s^-1

We then relate the wavelength λ to k through, λ = 2π/k = 7.85 cm

(c)Now we relate T to ω by the relation T = 2π/ω = 2.09 s and frequency, v = 1/T = 0.48 Hz