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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.

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.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.
Transcribed Image Text: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.
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