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G Force Vibrating Screen Analys

Well, 1 g is equal to the acceleration from gravity: $$1g = 9.8 \frac{m}{s^{2}}$$ what we feel as vibrations is simply the object being repeatedly displaced and a very high frequency.But why do we express the vibration amplitude as acceleration (g) instead of a force (n) or the displacement (mm)? why not use displacement (mm) or force (n)?.

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