Find the relation between acceleration in and output, Electrical Engineering

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Find the relation between acceleration in and output

An LVDT is used in an accelerometer to measure seismic-mass displacement. The LVDT and signal-conditioning output is 0.31 mV/mm with a cm maximum core displacement. The spring constant is 240 N/m, and the core mass is 0.05 kg.

Find (a) the relation between acceleration in and output voltage, (b) the maximum acceleration that can be measured, and (c) the natural frequency.

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