Solution Found!
(a) Calculate the magnitude of the angular momentum of the
Chapter 4, Problem 38E(choose chapter or problem)
(a) Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. Is it reasonable to model it as a particle?
(b) Calculate the magnitude of the angular momentum of the earth due to its rotation around an axis through the north and south poles, modeling it as a uniform sphere.
Consult Appendix E and the astronomical data in Appendix F.
Questions & Answers
QUESTION:
(a) Calculate the magnitude of the angular momentum of the earth in a circular orbit around the sun. Is it reasonable to model it as a particle?
(b) Calculate the magnitude of the angular momentum of the earth due to its rotation around an axis through the north and south poles, modeling it as a uniform sphere.
Consult Appendix E and the astronomical data in Appendix F.
ANSWER:Solution 38E The angular momentum can be calculated using the relation, L = mvr, where r is the perpendicular distance between the object and axis of rotation, m is the mass of the object and v is the linear velocity of the particle. When the earth orbits around the sun 7 Time period T = 365.3 days = 365.3 × 24 × 60 × 60 s = 3.15 × 10 s 2 Angular speed of the earth = T = 2×3.147rad/s 3.15×10 7 = 2 × 10 rad/s 11 Now, the orbital radius of earth is r0= 1.50 × 10 m 11 7 Linear speed of the earth v = r 0