1) Centripetal and centrifugal force on the object is equal and opposite, so both cancel each other and net force is zero.
2) The velocity constantly changes, and change in velocity cannot be zero and change is towards the center , thus acceleration cannot be zero since a=change in velocity/change in time, that means net force is in the direction towards the center( because direction of force is same as direction of acceleration.)
3) If Net force is non zero, why doesn’t object goes to the center?
Tie a ball to a string and whirl it over your head. The only two forces (neglecting air resistance) acting on the ball are gravity and the tension in the string, and if you spin it fast enough, the tension will be much greater than gravity, and we can neglect gravity as well. So one force pointing towards the center of the circle is all that is needed to maintain circular motion. The reason is deceptively simple. When you accelerate at a right angle to your velocity, the magnitude of the velocity is unchanged, only its direction. If you know a little differential calculus, it’s a very easy thing to show:
A particle moving in a circular path of radius R in a circle around the origin with speed u has position given by
s = ( R cos((u/R) t) , R sin((u/R) t)) )
where u/R is the angular frequency of the sinusoids.
we can find the acceleration by taking two derivatives:
v = ( - u sin((u/R) t) , u cos((u/R) t) )
a = ( - u^2/R sin((u/R) t) , - u^2/R cos((u/R) t) )
notice that the magnitude of a is
|a| = u^2/R
and that is points in the direction opposite the position:
a/|a| = - s/|s|