Question

An accelerometer has a seismic mass of 1000 gram and natural frequency of 1 kHz. With g the acceleration due to gravity, the static sensitivity of the accelerometer in (nm/g) is

• A. 2.58 nm/g
• B. 9.81 nm/g
• C. 7.28 $\times {10}^2$ nm/g
• D. 6.28 $\times$ nm/g
  

Answer 1

The correct option is B 9.81 nm/g

$g=9.81m/se{c}^2$

$f=1kHz={10}^3\sec$
$\text{Now, Sesitivity in (nm/g) =}\frac{g/f^2}{W}$

and

$\frac{g}{f^2}=\frac{9.81}{{10}^6}=9.81\times {10}^{-6}m$

$\text{Weight =W= 1000 gm}$

$\therefore S=\frac{9.81\times {10}^{-6}}{1000}$

$=9.81\times {10}^{-9}m/g$

$=9.81nm/g$