Physics

Problem

For a particle executing simple harmonic motion, the phase changes by

\Delta \phi

radians in a small time interval

\Delta t

. Which one of the following expressions gives

\Delta t

in terms of

\Delta \phi

and the angular frequency

\omega

? a)

\displaystyle \Delta t = \dfrac{2\pi\,\Delta \phi}{\omega}

\displaystyle \Delta t = \dfrac{\Delta \phi}{\omega}

\displaystyle \Delta t = \dfrac{\sin(\Delta \phi)}{\omega}

\displaystyle \Delta t = \dfrac{\Delta \phi}{2\pi\,\omega}