Centrifugal force of inertia

In a general case, when angular velocity and position vector of a material point have an arbitrary direction formula for centrifugal force we will have the following form:

Fig. 1.27

The direction of the centrifugal force is always perpendicular to the axis of revolution and radially outward.

Peculiarities of the centrifugal force:

¾ it acts on any object in K' whether it moves or not;

¾ it is directly proportional to the mass of a body, m;

¾ it depends on the angular velocity of non-inertial frame of reference;

¾ it depends on the distance of object from the center of rotation R.

We know that the Earth rotates around its axis, and at the same time rotates around the Sun. This indicates that we are in the rotating frame of reference.

Fig. 1.28

Then the centrifugal force acts on any object on the Earth and the resultant force is the vector sum of the gravitational force and the centrifugal force, (Fig. 1.27). At the pole and . At the equator . Comparing these two formulae we deduce that the acceleration due to gravity is maximum at the pole and minimum at the equator.

Дата добавления: 2015-11-16