Question

A harmonic oscillation is represented by y=0.34 cos (3000t+0.74), where y and t are in mm and s respectively. Deduce (i) and amplitude (ii) the frequency and angular frequency (iii) the period and (iv) the intial phase.

Answer 1

x=0.34 cos (3000t+0.74)
Comparing with general equation `x=A "cos"(omegat+phi)`
We get, A=0.34 mm, `omega=3000 "rads"^(-1), phi=0.74 "rad"`
(i) Amplitude , A =0.34 mm=0.034 cm.
(ii) Angular frequency , `omega=3000 "rads"^(-1)`
(iii) Initial phase, `phi=0.74` rad