A turntable with a mass of 12 kg and a radius of 1.8 meters spins at a constant angular velocity of 140 rpm. A 3-kg brick with a width of 15 cm and a depth of 30 cm falls onto the turntable, so the brick's center of mass is one meter away from the turntable's center. If there's no friction between the brick and turntable and they eventually spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk MR² for rotation about its center of mass parallel to the z-axis. Iilock = M (W² + D²) for rotation about its center of mass parallel to the z-axis.

A turntable with a mass of 12 kg and a radius of 1.8 meters spins at a constant angular velocity of 140 rpm. A 3-kg brick with a width of 15 cm and a depth of 30 cm falls onto the turntable, so the brick's center of mass is one meter away from the turntable's center. If there's no friction between the brick and turntable and they eventually spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk MR² for rotation about its center of mass parallel to the z-axis. Iilock = M (W² + D²) for rotation about its center of mass parallel to the z-axis.