What is the angle of rotation?The earth has a radius of approximately 6400 km. If a point on the circumferathe moves by 2 kilometers what is the...

The radius of the earth is 6400 kms. If the point is on the
surface of the earth moves by 2 kilometer due to rotation, then it is as good as the
point describes  an arc of circle whose centre is at the centre of earth and the radius is the
radius of the earth.

The relation between the arc and the angle the
arc subtends at the centre of the cicrle is given by:

Arc length =
angle in radians* radius of the circle.

We substitute in the above
relation , arc length = 2km. Radius = 6400 km.

2km =
angle/6400km

Angle subtended at the centre of earth= 2/6400 =
0.0003125 radians.

1 radian =  180/pi = 57.29577951
degree.

Or angle subtended at the centre of earth =
0.0003125*5729577951 = 0.01704931degrees. = 1minute, 4.457752 seconds .