Question: In a pneumatic system, a piston oscillates up and down with its position defined as S = 0.5 sin (3t) [meters]. Find the period time

In a pneumatic system, a piston oscillates up and down with its position defined asS = 0.5 sin (3t) [meters].

  1. Find the period time for the piston to finish one cycle
  2. Find the maximum displacement of the piston from the centre point
  3. Write the function of the displacement if the frequency of the oscillation was doubled and maximum displacement halved.

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