170. The figure below shows a snapshot of a sinusoidal wave at a moment in time, showing displacement along the x-axis of a rope being pulled. The linear mass density of the rope is $\frac{\text{kg}}{\text{m}}$ and it moves. If the tension in the rope is $80\,\text{N}$ and the linear mass density (mass per unit length) is $0.2\,\frac{\text{kg}}{\text{m}}$, how many centimeters does each particle of the rope travel in $0.05\,\text{s}$? [Figure: Graph with y(cm) axis showing sinusoidal wave, amplitude 2 cm, x(cm) axis extending to 15 cm]
[(1)] $2$
[(2)] $4$
[(3)] $8$
[(4)] $16$
\textbf{170.} The figure below shows a snapshot of a sinusoidal wave at a moment in time, showing displacement along the x-axis of a rope being pulled. The linear mass density of the rope is $\frac{\text{kg}}{\text{m}}$ and it moves. If the tension in the rope is $80\,\text{N}$ and the linear mass density (mass per unit length) is $0.2\,\frac{\text{kg}}{\text{m}}$, how many centimeters does each particle of the rope travel in $0.05\,\text{s}$?
\begin{center}
\textit{[Figure: Graph with y(cm) axis showing sinusoidal wave, amplitude 2 cm, x(cm) axis extending to 15 cm]}
\end{center}
\begin{itemize}
\item[(1)] $2$
\item[(2)] $4$
\item[(3)] $8$
\item[(4)] $16$
\end{itemize}