For a particle executing simple harmonic motion

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal 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}

(b)

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

(c)

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

(d)

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