Centripetal Acceleration The motion of an object is called circular motion if its distance from a fixed points remains constant all the time. The fixed point is called center of the circle and the constant distance is called the radius of the circle. O P ‘O’ is the center of the circle and OP is the radius The circular motion is called uniform circular motion if the object moves with same speed. Is there any acceleration in uniform circular motion?
The motion of an object is called circular motion if its
distance from a fixed points remains constant all the time. The
fixed point is called center of the circle and the constant
distance is called the radius of the circle.OPO is the center of
the circle and OP is the radius The circular motion is called
uniform circular motion if the object moves with same speed. Is
there any acceleration in uniform circular motion?
Because the velocity vector v is always perpendicular to the
position vector r Therefore, the two triangles are similar. (Two
triangles are similar if the angle between any two sides is the
same for both triangles and if the ratio of the lengths of these
sides is the same.)
(1)(2)
In non-uniform circular motion both the magnitude and direction
of velocity change.The change in direction leads to radial
acceleration
The change in magnitude leads to tangential acceleration because
of velocity direction along the tangent line to the circular
path
The total acceleration vector can be written as the vector sum
of the component vectors:
