You have a horizontal grindstone $($a disk$)$ that is $85$ kg$,$ has a $0\mathrm{.}34$ m radius, is turning at $94$ rpm $($in the positive direction$),$ and you press a steel axe against the edge with a force of $22$ N in the radial direction.

ims$5577$@psu.edu$0$P$65-4$B$-$F$4-4$D$-8506-49641$

$$ Part $($a$)$

Assuming that the kinetic coefficient of friction between steel and stone is $0\mathrm{.}20,$ calculate the angular acceleration of the grindstone in rad$/$s$2.$

$=$

$|$

sin$()$cos$()$tan$()$cotan$()$asin$()$acos$()$atan$()$acotan$()$sinh$()$cosh$()$tanh$()$cotanh$()$

Degrees Radians

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$0$P$65-4$B$-$F$4-4$D$-8506-49641$

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$$ Part $($b$)$

What is the number of turns, N$,$ that the stone will make before coming to rest?