Question

An accelerometer has input range of 0 to 10g, natural frequency 30 Hz and mass 0.001 kg. The range of the secondary displacement transducer in mm required to cover the input range is

• A. 0 to 2.76
• B. 0 to 9.81
• C. 0 to 11.20
• D. 0 to 52.10

Answer 1

The correct option is A 0 to 2.76

$Acceleration={\omega }^{2}x$

Case-I:

$\text{At acceleration = 0,}$

$0={\omega }^{2}x$

$\therefore x=0mm$

Case-II:

$\text{At acceleration l0}g\text{,}$

$\Rightarrow 10g={\omega }^{2}x=(2\pi f{)}^{2}x$

$\Rightarrow 10g=(2\pi \times 30{)}^{2}x$

$\therefore x=\frac{10\times 9.8}{(2\pi \times 30{)}^2}=2.76mm$