The rotation of the earth causes a centrifugal effect on a mass near the surface of the earth. This slightly changes the effective acceleration due to gravity. We can call the old acceleration due to gravity go and the effective acceleration geff. a. Show that the angle between go and geff can be expressed as /55'R sin(e) cos(0)) = tan Go - Ns/s, R sin²(0) where 0 is the angle between the angular velocity of earth and the position of the mass near the surface of the earth. b. How small that o if 0 is 45° and R is the radius of the earth. m Tm/S

The rotation of the earth causes a centrifugal effect on a mass near the surface of the earth. This slightly changes the effective acceleration due to gravity. We can call the old acceleration due to gravity go and the effective acceleration geff. a. Show that the angle between go and geff can be expressed as /55'R sin(e) cos(0)) = tan Go - Ns/s, R sin²(0) where 0 is the angle between the angular velocity of earth and the position of the mass near the surface of the earth. b. How small that o if 0 is 45° and R is the radius of the earth. m Tm/S

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter7: Gravitation

Section: Chapter Questions

Problem 51A

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