Rotational motion and The Law of Gravity Garifullin Tagir B22-544 Why we need to know about rotational motion? Rotational movement examples Rotational motion and Newton's law of universal gravitation can explain some interesting facts such as: space travel and satellites position. Angular velocity and angular acceleration ● The radian is a unit of angle measurement, analog of degrees. Relations between angular and linear quantities Angular quantities closely related to linear quantities • Tangential speed: • Each point on a rotating object has the same angular speed • Tangential acceleration: Centripetal and tangential acceleration We can find the quantity of the total acceleration using Pythagoras' theorem • In circular motion with constant speed, the total acceleration vector is always directed to the center of the circle because there is no tangential acceleration • Fictitious forces (In non-inertial reference frames) Coriolis force If a person on the carousel throws a stone, it will seem that the stone fly sideways because of Coriolis force Newtonian gravity • • • Before 1686, no one knew how the Moon and Earth interacted. Isaac Newton discovered the that all objects are attract each other It was proven experimentally in 1798 QUESTIONS • Why does physics study the rotational motion? • What analogies of linear motion exist in rotational motion? • What is the unit of angular measure? • What happened before? An experiment with universal gravity or a theoretical conclusion? Key terms • Rotation, circular, movement, motion, angular • Angular displacement, angular speed, angular acceleration • Accelerations: Centripetal and tangential • Fictitious forces: centrifugal force, Coriolis force • Newtonian gravity, law of universal gravitation