According to Newton's second law of motion, a change in the direction
of motion of the body can take place only if some external force acts on the
body.
Due to inertia, at every point of the circular path; the body tends to
move along the tangent to the circular path at that point (in figure). Since
everybody has directional inertia, a velocity cannot change by itself and as
such we have to apply a force. But this force should be such that it changes
the direction of velocity and not its magnitude. This is possible only if the
force acts perpendicular to the direction of velocity. Because the velocity is
along the tangent, this force must be along the radius (because the radius of a
circle at any point is perpendicular to the tangent at that point).
Further, as this force is to move the body in a circular path, it must
acts towards the centre. This centre-seeking force is called the centripetal
force. Hence, centripetal force is that force which is required to move a body
in a
circular path with uniform speed. The force acts on the body along the
radius and towards centre.
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