The angular velocity @=40/4t is the angle drawn by a rotating object in radian, per unit period of time. What is the angular velocity of Earth through its self-rotation. Recall that Earth takes 24 hours to self-rotate, and a complete rotation measures 27 radians. Another expression for the same quantity is w=v/R, where is the tangential velocity of the rotating object, and R its distance to the center of rotation. Derive this from the above expression, knowing that an angle centered at the center of rotation, is defined as the arc length AB intercepted by this angle on the circle of rotation, divided by the radius R of the rotation circle, i.e. 0=AB/R. Check then you would have calcualted above, for an object rotating on the Equator of Earth, the perimeter of which measures about 40 000 km, and R is about 6500 km. Use coherent units.