The engine of an aeroplane rotates clockwise when viewed from the front. The moment of inertia of all the rotating parts is $400$kg m$2.$The engine rotates at $1100$rev$/$min$.$Sketch an appropriate diagram showing the various forces for this system and using this then determine the magnitude and effect of the gyroscopic action resulting when the aeroplane makes a right hand bend of radius $6000$m at a speed of $1600$km$/$h$.$