Advanced Higher Physics

Mandatory Course Key Areas - Aug 2018

Use of the radian as a measure of angular displacement. Conversion between degrees and radians.

Use of appropriate relationships to carry out calculations involving angular displacement, angular velocity, angular acceleration, and time.

\omega =\frac{\mathrm{d\theta }}{\mathrm{dt}}

\alpha =\frac{\mathrm{d\omega }}{\mathrm{dt}}=\frac{d^2\theta }{{\mathrm{dt}}^2}

Use of appropriate relationships to carry out calculations involving angular and tangential motion.

$$\begin{gathered} s=\mathrm{r\theta } \\ v=\mathrm{r\omega } \\ {a}_t=\mathrm{r\alpha } \end{gathered}$$

Use of appropriate relationships to carry out calculations involving constant angular velocity, period, and frequency.

$$\begin{gathered} \omega =\frac{\mathrm{2\pi }}{T} \\ \omega =\mathrm{2\pi f} \end{gathered}$$

Knowledge that a centripetal (radial or central) force acting on an object is necessary to maintain circular motion, and results in centripetal (radial or central) acceleration of the object.

Use of appropriate relationships to carry out calculations involving centripetal acceleration and centripetal force.

$$\begin{gathered} a_r=\frac{v^2}{r}={\mathrm{r\omega }}^2 \\ F=\frac{{\mathrm{mv}}^2}{r}={\mathrm{mr\omega }}^2 \end{gathered}$$