A horizontal wooden disc of mass 8 kg and diameter 1m is pivoted on frictionless bearing about a vertical axis through its centre.We put a toy train track model in the disc.The track has a negligible mass and average diameter 0.95 ra.The mass ofmodel train is 1.2 kg which can run with a battery.When we switch on the engine the train moves anticlockwise, soon attaining a constant speed of 0.6 m`//`s with respect to the track. Find the magnitude and direction of the angular velocity of the disc relative to the earth.