Physics - Circular Motion Question with Solution | TestHub

$\mathrm{V}=\mathrm{r}\mathrm{\omega }$

$\mathrm{r}=\mathrm{R}\cos \mathrm{\theta }$

Where$\mathrm{R}=6400 \mathrm{km}$is radius of the earth;$\mathrm{\theta }=60°$is the latitude angle.

$\mathrm{\omega }=\frac{2\mathrm{\pi }}{\mathrm{T}}$$(\mathrm{T}=24 \mathrm{hours}=24·60·60 \mathrm{s})$

$\therefore \mathrm{V}=\mathrm{R}\cos \mathrm{\theta }\frac{2\mathrm{\pi }}{\mathrm{T}}\mathrm{ }=6400\times {10}^3\times \frac{1}{2}\times \frac{2\mathrm{\pi }}{24·60·60}=\frac{2000\mathrm{\pi }}{27} \mathrm{m} {\mathrm{s}}^{-1}$