A heavy piston in an industrial pneumatic compressor oscillates with simple harmonic motion. A sensor monitors both the displacement of the piston from its equilibrium position and its acceleration.
What is the phase difference between the variation of its displacement with time and the variation of its acceleration with time?
0 rad0\text{ rad}0 rad
π2 rad\frac{\pi}{2}\text{ rad}2π rad
π rad\pi\text{ rad}π rad
3π2 rad\frac{3\pi}{2}\text{ rad}23π rad