After $6\mathrm{.}10$ s the directed force is removed, and the wheel comes to rest $60\mathrm{.}2$ s later.

$($a$)$ What is the wheel's moment of inertia $($in $\backslash (\backslash$mathrm$\{$kg$\}\backslash$cdot $\backslash$mathrm$\{$m$\}^\{2\}\backslash ))?$

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$\backslash$mathrm$\{$kg$\}\backslash$cdot $\backslash$mathrm$\{$~m$\}^\{2\}$

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$($b$)$ What is the magnitude of the torque caused by friction $($in $\backslash (\backslash$mathrm$\{$N$\}\backslash$cdot $\backslash$mathrm$\{$m$\}\backslash ))?$

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$]\backslash$mathrm$\{$N$\}\backslash$cdot $\backslash$mathrm$\{$~m$\}$

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$($c$)$ From the time the directed force is initially applied, how many revolutions does the wheel go through?

revolutions