A heavy box $($mass $90$ kg $)$ is connected to a big spool of rope $($a solid cylinder with radius $0\mathrm{.}35$ m and mass $60$ kg $)$ by a thin rope with a linear density of $\backslash (0\mathrm{.}3\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}\backslash ),$ as shown in $($Figure $1).$ The box is released from rest and allowed to fall.

Figure

$1$ of $1$

Part A

As the box falls, a wave travels up the rope from the box to the spool. What is the speed of that wave?

$54\mathrm{.}249$

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