Assignment:
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.
Provide complete and step by step solution for the question and show calculations and use formulas.