What is relation between linear velocity and angular velocity in a circle?
Linear velocity of an object usually follow a set speed traveling in a straight line, which at points the derivative is calculated into speed(velocity) When ever a objects path changes the slightest direction(like a space ship starting to orbit the moon) velocity or energy is increased accordingly due to not following the linear vector, it becomes an accumulation of infinite vector changes of acceleration until it can achieve a more stable constant linear status again and with linear description. Picture it as a line of skaters doing a whip circle, the farthest person from the center of the circle is accelerating into an ever changing summation of derivatives describing speed. Once the outer skater completes a full circle then velocity comes close to linear description. But the unique element is after a change of direction occurs it wants to go back to linear description continuum ASP.
