A transverse harmonic wave on a wire is expressed as: y(x, t)=3 \sin (36 t+0.018 x+\pi / 4)
i) Find its frequency and amplitude.
ii) Give the initial phase at the origin.
[\mathrm{x} and \mathrm{y} are in \mathrm{cm} and \mathrm{t} in seconds. Assume the left to right direction as the positive direction of \mathrm{x}]
A transverse harmonic wave on a wire is expressed as: y(x, t)=3 \sin (36 t+0.018 x+\pi / 4)
i) Find its frequency and amplitude.
ii) Give the initial phase at the origin.
[\mathrm{x} and \mathrm{y} are in \mathrm{cm} and \mathrm{t} in seconds. Assume the left to right direction as the positive direction of \mathrm{x}]

Given function is,

(x, t)=3 \sin (36 t+0.018 x+\pi / 4)

i) Amplitude of the wave is given as a=3 \mathrm{~cm}

Frequency of the wave can be calculated as

v=\omega / 2 \pi
36 / 2 \pi=5.7 \mathrm{hz}

ii) Initial phase at the origin =\pi / 4