Circular motion outside a sphere refers to the movement of an object along a circular path around a larger sphere. This type of motion is governed by the laws of circular motion and gravity.
The main difference between circular motion inside and outside a sphere is the direction of the force acting on the object. In circular motion inside a sphere, the force is directed towards the center of the sphere, while in circular motion outside a sphere, the force is directed away from the center.
The centripetal force in circular motion outside a sphere is the force that keeps an object moving in a circular path around the sphere. This force is directed towards the center of the sphere and is equal to the product of the mass of the object, the square of its velocity, and the inverse of the radius of the circular path.
Angular velocity is the rate of change of angular displacement, which is the angle an object moves through in a circular path. In circular motion outside a sphere, angular velocity is directly proportional to the speed of the object and inversely proportional to the radius of the circular path.
The radius of the circular path has a significant impact on circular motion outside a sphere. A larger radius results in a slower speed and longer period of the object's motion, while a smaller radius results in a faster speed and shorter period. The radius also affects the magnitude of the centripetal force required for the object to maintain its circular motion.