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Answer :
The amplitude of the piston's oscillation, determined from the given expression x = 6.00 cos(t * π/4), is 6.00 units.
The correct answer is option 3.
Certainly, let's go through the detailed calculation step by step:
The expression for the piston's position is given as x = 6.00 cos(t * π/4).
In simple harmonic motion (SHM), the general form of displacement is x = A cos(ωt + φ), where:
A is the amplitude,
ω is the angular frequency,
t is time, and
φ is the phase constant.
Comparing the given expression with the general form of SHM, we can identify the amplitude (A):
A = 6.00
Therefore, from the given options the correct one is 3.
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