Circular Motion

• Radian is the angle subtended at the center of the circle by an arc of length equal to the length of the radius
• Angular displacement is the angle trough which an object moves through a circle
• Angular velocity is the rate of change of angular displacement
• Angular velocity is the rate of change of angular position of an object as it moves along a curved path
• The unit of angular velocity is radians per second (rad/sec)
• A body moving in a circular motion is moving in constant speed but the velocity changes because the direction changes. Therefore, it accelerates and experiences a force towards the center.
• Inertia - The tendency of an object to remain at rest or continue with uniform motion unless acted upon by a net external force.
• Period is the time taken by the body to complete the circular path once
• Frequency is the number of times that the body completes one revolution per second
• Centrifugal Force is the apparent outward force experienced by a rotating body due to centripetal force
• Centripetal Force is the resultant force acting on an object moving in a circle, always directed towards the center of the circle perpendicular to the velocity of the object
• The magnitude of Centripetal Force depends on the mass of the object and its velocity squared
• Centripetal acceleration is the acceleration of an object acting towards the center of a circle when an object is in motion around the circle at a constant speed
• Angular Acceleration is the rate of change of angular velocity with respect to time
• An object moving along a circular path is not in equilibrium and the resultant force acting on it is centripetal force
• A particle undergoing uniform circular motion has zero linear momentum but non-zero angular momentum