%revised 6/29/98
%revised 2/99

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{\large Name:}
\bigskip

\centerline{\bf \Large  Waves Velocity/Particle Velocity }
\centerline{\bf \large Calc/Phys Spring 2000}
\bigskip



In this exercise,
we will examine  a single wave pulse which travels down the
slikny.  Equipment needed:  slinky, timer, yardstick

\begin{itemize}
\item {Predictions} {\it Before} you do any experiments, please answer
the following questions.  If there is disagreement in your group, that's
fine!  Just write down what opinions there are.  

\begin{enumerate}
\item Consider $v_w$ which is the velocity of the
wave pulse and $v_p$ which is the velocity of a particle (or
perhaps more concretely a ring) on the slinky.  Are these in
the same direction?
\vfill
\item  Sketch below $x(t)$ for a single ring of the slinky as the wave
goes by.  Based on this sketch, is $v_p$ a constant?
\vfill
\item  Do you expect that $v_w$ and $v_p$ are of the same
value? Explain.
\vfill
\item  List a few things you can change about the system that you expect
would make
$v_w$ larger.  What do you expect would make $v_p$ larger?
\vfill

\end{enumerate}

\clearpage


 
\item{Data Taking} The next step is to obtain values for $v_p$ and
$v_w$.  
\begin{enumerate}
\item The first step is to write down parameters of your system so that
you can reproduce the experiment.

Length slinky is stretched:

Amplitude of hand motion:

Frequency of hand motion:

\medskip

\item Measure $v_w$ by measuring distance traveled and time to travel. 
(To improve accuracy should you take a long or short distance?)

distance:

time:

$v_w$

\medskip

\item Measure $v_p$ in the same fashion.

distance:

time:

$v_p$

\end{enumerate}


\item {Further exploration} Try several ways to change either $v_p$ or
$v_w$.  Record your actions and the results below.

\begin{enumerate}
\item  Change in the system:

$v_w$:

$v_p$


\medskip

\item  Change in the system:

$v_w$:

$v_p$


\medskip
\item  Change in the system:

$v_w$:

$v_p$


\medskip

\end{enumerate}


\item {Conclusions}  Based on your experiments, are $v_p$ and $v_w$
always the same value?  What does each velocity depend on?

\end{itemize}

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