C$10-49$: A wind turbine is rotating counterclockwise at $0\mathrm{.}500$ rev$/$s and slows

to a stop in $10\mathrm{.}0$ s$.$ Its blades are $20\mathrm{.}0$ m in length.

$($a$)$ What is the angular acceleration of the turbine? $($b$)$ What is the centripetal

acceleration of the tip of the blades at t $=0$ s$?($c$)$ What is the magnitude and

direction of the total linear acceleration of the tip of the blade relative to the

radially inward direction?

Answers: $($a$)-0\mathrm{.}314$ rad$/$s$2($b$)197\mathrm{.}4$ m$/$s$2($c$)197\mathrm{.}5$ m$/$s$2$ @ $1\mathrm{.}82$ CCW from ac