Question

An accelerometer has a seismic mass of 0.15 kg and a spring constant of $1.5\times {10}^{3}N/m$. If the maximum mass displacement is $\pm 0.05m$ before the mass hits the stop, the peak acceleration of the seismic mass is_______m/s${}^2$.

• A. 500

Answer 1

The correct option is A 500
Natural frequency,
${\omega }_n=\sqrt{\frac{k}{m}}=\sqrt{\frac{1.5\times {10}^3}{0.15}}=100rad/sec$

Maximum acceleration,

$a_m={\omega }_n^2{x}_m=(100{)}^2\times 0.05=500m/s^2$