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Solved: Using Appendix F, along with the fact that the
Chapter 9, Problem 19E(choose chapter or problem)
Using astronomical data from Appendix F, along with the fact that the earth spins on its axis once per day, calculate
(a) the earth’s orbital angular speed (in rad/s) due to its motion around the sun,
(b) its angular speed (in rad/s) due to its axial spin,
(c) the tangential speed of the earth around the sun (assuming a circular orbit),
(d) the tangential speed of a point on the earth’s equator due to the planet’s axial spin, and
(e) the radial and tangential acceleration components of the point in part (d).
Questions & Answers
QUESTION:
Using astronomical data from Appendix F, along with the fact that the earth spins on its axis once per day, calculate
(a) the earth’s orbital angular speed (in rad/s) due to its motion around the sun,
(b) its angular speed (in rad/s) due to its axial spin,
(c) the tangential speed of the earth around the sun (assuming a circular orbit),
(d) the tangential speed of a point on the earth’s equator due to the planet’s axial spin, and
(e) the radial and tangential acceleration components of the point in part (d).
ANSWER:Solution 19E
Step 1:
(a).As the earth orbits the sun,the earth makes 1 revolution(in one year.taking the positive
direction for the angular displacement to be the direction of the earth’s orbital motion,the
angular displacement in one year is the average angular velocity is 365 ¼ days
convert into seconds.