1.

A simple harmonic motion is represented by x(t) = 10 sin(20t + 0.5)Find its amplitude, frequency and initial phase.

Answer»

Comparing the given equation with standard equation of S.H.M.

x(t) = a sin(ωt + ϕo)

(i) Amplitude, a = 10 m

(ii) Angular frequency, 

ω = 20 rad s-1

(iii) Frequency is given by 

v = \(\frac{ω}{2\pi}\) = 3.18 Hz

(iv) Initial phase, ϕo = 0.5 rad.



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