The Earth makes one full rotation about its axis in approximately 24 hours, or 86,400 s. It rotates at a constant rate, and its angular speed is w = 2n 86400 = 7.27 x 10-5 rad/s. The Earth's radius is 6.38×106 m. Be sure to show all work. a)What is the magnitude of the angular acceleration a of the Earth, in rad/s2 ? b)What is the magnitude of the centripetal acceleration of an object sitting on Earth's equator, in m/s2 ? c)Los Angeles does not lie on the Earth's equator. Is the magnitude of the centripetal acceleration of an object in Los Angeles greater than, less than, or equal to that of an object on the equator? Justify your answer. . d)Draw a free-body diagram of an object sitting on the Earth's equator. Include the net force vector in your diagram. It's the direction of your vectors that counts, not the length.

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth w…