Oscillations of a spring Angular frequency

an object attached spring can oscillate. if spring assumed ideal , massless no damping, motion simple , harmonic angular frequency given by

ω
=



k
m



,


{\displaystyle \omega ={\sqrt {\frac {k}{m}}},}

where

k spring constant,
m mass of object.

ω referred natural frequency (which can denoted ω0).

as object oscillates, acceleration can calculated by

a
=
−

ω

2


x
,


{\displaystyle a=-\omega ^{2}x,}

where x displacement equilibrium position.

using ordinary revolutions-per-second frequency, equation be

a
=
−
4

π

2



f

2


x
.


{\displaystyle a=-4\pi ^{2}f^{2}x.}






^ serway, raymond a.; jewett, john w. (2006). principles of physics (4th ed.). belmont, ca: brooks / cole - thomson learning. pp. 375, 376, 385, 397. isbn 978-0-534-46479-0.