The equation of motion of a particle executing simple harmonic motion is given by   a+36π2x=0, where a  is acceleration and x is displacement. Then, its frequency of  oscillation is (in hertz)

A simple harmonic motion can be represented by the equation  a=−ω2x . Comparing the given equation a+36π2x=0 in the above form, we get ω2=36π2 . Taking square root on both sides  ω=6πUsing the relation  ω=2πf,  6π=2πfThe frequency of oscillation f=3Hz