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LVDT in an Accelerometer

An LVDT is used in an accelerometer to measure seismic-mass displacement. The LVDT and signal-conditioning output is 0.31mV/mm with +/-2cm maximum core displacement. The spring constant is 240N/m, and the core mass is 0.05kg.

#1. Find the relation between acceleration in m/s^2 and output voltage.
#2. Find the maximum acceleration that can be measured and the natural frequency.

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