Exercise 6
The position of a particle is specified by the function \(x(t) = \sin \omega t\). The period of the sine is \(2 \pi\), therefore, the time needed for a full cycle \(T\) is
\[ \omega T = 2 \pi \Rightarrow T = \frac{2 \pi }{\omega} \]
The position of a particle is specified by the function \(x(t) = \sin \omega t\). The period of the sine is \(2 \pi\), therefore, the time needed for a full cycle \(T\) is
\[ \omega T = 2 \pi \Rightarrow T = \frac{2 \pi }{\omega} \]