CIRCULAR MOTION

UNIFORM CIRCULAR MOTION: -

If a body moves in a circular path with constant speed or uniform speed then the motion of the body is said to be "uniform circular motion"

CENTRIPETAL ACCELERATION: -

When a body moves around a circle with constant speed, the direction of its velocity continuously changes.  Due to change in direction, its velocity changes. A changing velocity imparts acceleration in the body.  The direction of this acceleration is always towards the centre of circle. This acceleration is known as “CENTRIPETAL ACCELERATION".

        According to 2nd law of motion

F _c = m_a c.......... (1)

But

F _c = mv² / r........ (2)

From (1) and (2) we get

m_a c = mv² /r

Or

a_c = v²/r

CENTRIPETAL FORCE: -

Centripetal force is defined as the force necessary to move a body in a circular path and is always directed towards the centre of the circular path.

OR

When a body moves in a circular path with uniform velocity, it experiences a force, directed along the radius towards the centre of the circle. This force is called CENTRIPETAL FORCE. MATHEMATICAL REPRESENTATION: -  Centripetal force depends upon the mass of body, velocity of body and the radius of circular path. CENTRIFUGAL FORCE: - When a body of moves around circle, centripetal force acts upon it. According Newton’s third law of motion another force equal to centripetal force but opposite in direction also acts upon it. This force is referred to as CENTRIFUGAL FORCE. The force acting in the opposite direction of centripetal force is called centrifugal force