Vertical Circular Motion. Note that the centripetal force is proportional to the square of the velocity, implying that a doubling of speed will require four times the centripetal force to keep the motion in a circle. Denoted by δθ, this is the angle that the position vector of a particle makes at the center of the path of the circular motion.

The centripetal acceleration can be derived for the case of circular motion since the curved path at any point can be extended to a circle. Note that the centripetal force is proportional to the square of the velocity, implying that a doubling of speed will require four times the centripetal force to keep the motion in a circle. Denoted by δθ, this is the angle that the position vector of a particle makes at the center of the path of the circular motion.

Denoted By Δθ, This Is The Angle That The Position Vector Of A Particle Makes At The Center Of The Path Of The Circular Motion.

Note that the centripetal force is proportional to the square of the velocity, implying that a doubling of speed will require four times the centripetal force to keep the motion in a circle. The motion of a particle undergoing circular motion is defined by a certain set of variables as defined below: The centripetal acceleration can be derived for the case of circular motion since the curved path at any point can be extended to a circle.