CENTRIPETAL
FORCECENTRIFUGAL
FORCECENTRIPETAL ACCELERATION


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.  
OR
The force acting in the opposite direction of centripetal force is called centrifugal force. 

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 an 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 2^{nd} law of motion  
F_{c }= ma_{c
}..........(1)
but F_{c }= mv^{2 }/ r ........(2) From (1) and (2) we get ma_{c}^{ }= mv^{2} /r or a_{c} = v^{2}/r 

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"  