Physics Course/Motion/Periodic Motion/Circular Motion

Circular Motion edit

θ = angular displacement
r = radius/position vector
P = position of the object along the path
v = linear velocity
Ω = angular velocity along axis of rotation
a = centripetal acceleration

Circular Motion is a motion of an object along a circular path. If the speed of the body remains constant throughout the motion, the object is said to perform a uniform circular motion. For an object in uniform circular motion along a circular path of radius R and   be the position vector of the object with the center of the path as the and   being the unit vector along it and T be the time taken to traverse the path once (period), the total linear distance covered in one period is (the circumference of the circle)


The speed (or linear velocity) is then given by


The linear velocity is a vector quantity whose direction at any given instance is tangential to the circle at that point. The angular velocity around the circle is


Due to the vector product, the angular velocity vector is perpendicular to the plane of motion.

With circle of radius R = 1