The $55-kg$ flywheel has a radius of gyration of $k_0=200$ mm about its center of mass.

$($Figure $1)$

Part A

If it is subjected to a torque of $M=(9{}^{\frac{1}{2}})N*m,$ where $$ is in radians, determine its angular velocity when it has sotated $3$ revolutions, starting from rest

Express your answer to three significant figures and include the appropriate units.

$=$

Figure

$1$ of $1($