1 A uniform square lamina, of mass 5 kg and side 0.2 m , is rotating about a fixed vertical axis that is perpendicular to the lamina and that passes through its centre. A couple of constant moment 0.06 Nm is applied to the lamina. The lamina turns through an angle of 155 radians while its angular speed increases from \(8 \mathrm { rads } ^ { - 1 }\) to \(\omega \mathrm { rads } ^ { - 1 }\). Find \(\omega\).