Uniform circular motion :
When the velocity of an object changes, we say that the object is accelerating. The change in the velocity could be due to change in its magnitude or the direction of the motion or both
Suppose an object does not change its magnitude of velocity but only its direction of motion
Now, that suppose an object travels along a
hexagonal shaped path ABCDEF, as shown below
In this situation, the object
will have to change his direction six times then it will complete one round if the is octagon, with eight equal sides as shown below
ABCDEFGH It is observed that
as the number of sides of the track increases
the object has to take turns more and more
often. If the shape of
the track as we go on increasing the number
of sides indefinitely it will be
Observed that the shape of the track approaches
the shape of a circle
and the length of each of
the sides will decrease to a point. If the object moves with a velocity of constant magnitude along the circular path, the only change in its velocity is due to the change in the direction of motion. The motion of the object moving along a circular path is, an example of an accelerated motion.
the circumference of a circle
of radius R is given by 2 R π . If the object takes
t seconds to go once around the circular path of radius R, the velocity V is given by
V = 2 R π/ t
When an object moves in a circular path
with uniform speed, its motion is called
uniform circular motion.
