The free surface of the liquid resting in an inertial frame is horizontal. Does the normal to the free surface pass through the center of the earth? Think separately if the liquid is (a) at the equator (b) at the pole (c) somewhere else.
Answers
Explanation ⇒ The line of the gravitational force pass through the center of the earth but there is also a centrifugal force on the body at the surface due to rotation of the earth.
If the direction of the centrifugal force is different from the gravitational force, the line of action of the net resultant force will not pass through the center of the earth. And this is the case at places other than the poles or equator.
(a) At the equator ⇒
The force acting in circular path called as the centrifugal force (when the frame in non-inertial) due to the rotation of the earth is vertically upward.
As a results of this, there will be the loss in the magnitude of the net force, but the line of action passes through the center of the earth. Thus, the perpendicular drawn to the free surface of the liquid will pass through the center of the earth.
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(b) At the poles ⇒
The magnitude of the centrifugal force due to rotation of the earth is zero because the radius of the circle drawn at that instant is zero.
So there is no change in the magnitude and the direction of the gravitational force. As a result of this, the perpendicular drawn to the free surface will pass through the center of the earth.
(c) Somewhere else ⇒
We know that the net force on a body will not pass through the center of the earth anywhere else.
Since the horizontal line or the free surface of a still liquid is perpendicular to the plumb line.
So the normal to the free surface of the liquid will not pass through the center of the earth.
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Hope it helps.
A gravitational force is oriented towards the Earth's core, the usual to the balanced surface always passes via the Earth's core at equator, pole and somewhere else (in all situations) .
Explanation:
Yes, the liquid's natural to free surface moves through the Earth's core. Owing to the gravitational force the liquid's free surface assumes the form of the Earth's surface.
Due to a gravitational force is oriented towards the Earth's core, the usual to the balanced surface always passes via the Earth's core at equator, pole and somewhere else (in all situations) .
Reason:-
(a) The force behaving in circular direction, called the centrifugal force ( non-inertial) related to the earth's rotation is upward vertically.
(b) The strength of the centrifugal force related to earth's rotation is zero, since the circle radius drawn at that moment is zero.
(c) We know that the net force on a body will not pass through the center of the earth anywhere else.
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