Displacement of the oscillator can be expressed in the mathematical form as:
x(t) = A*cos (ωt + δ),
therefore acceleration would be represented as => a = ¨x = â’ω^2*A*cos (ωt + δ),
the maximum acceleration will happen when the cosine is -1.
Hence, maximum acceleration => a-max = A*ω^2
The force associated with acceleration is F = ma.
Therefore maximum amplitude is
A = F / (m*ω^2)
= F / (4Ď€^2 * m * f^2) where f is the frequency of oscillation.
putting values in above equation we ge:
A = 50000 / 4Ď€^2 * 10^â’4 Ă— (10^6)^2
= 1.25 * 10^â’5
hence 1.25 * 10^-5 m/s^2
