Consider the accelerometer model in Section 6.7. Its transfer function can be expressed as
Y(s)/ Z(s) = -s2/(s2 + (c/m)s + k/m)
Suppose that the input displacement is z(t) = 10 sin 120/ mm. Consider two cases, in SI units:
(a) k/m = 100 and c/m = 18
(b) k/m = 106 and c/m = 1800.
Obtain the steady-state response y(t) for each case. By comparing the amplitude of y(t) with the amplitudes of z(t) and (t), determine which case can be used as a vibrometer (to measure displacement) and which can be used as an accelerometer (to measure acceleration).