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 +/-2 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 m/s2 and output voltage, (b) the maximum acceleration that can be measured, and (c) the natural frequency.