Question

A simple harmonic oscillator is represented by the equation : Y = 0.40 Sin (440t+0.61) 

Y is in metres 

t is in seconds 

Find the values of 1) Amplitude 2) Angular frequency 3) Frequency of oscillation 4) Time period of oscillation, 5) Initial phase.

Answer 1

The given equation is:- Y = 0.40 Sin (440t + 0.61) 

Comparing it with equation of S.H.M. Y = a Sin (w t +∅₀ ) 

1) Amplitude = a = 0.40m 

2) Angular frequency = w = 440Hz