×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide

(a) Calculate the magnitude of the angular momentum of the

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 38E Chapter 10

University Physics | 13th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 1 235 Reviews
12
1
Problem 38E

(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.

Step-by-Step Solution:
Step 1 of 3

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 = 1.50 × 10 m × 2 × 10 rad/s v = 3 × 10 m/s Now, mass of the earth m = 5.97 × 10 24kg (a) Now, substituting the values of m, v and r in th0 equation, L = mvr , we can calculate the angular momentum. L = 5.97 × 10 24kg × 3 × 10 m/s × 1.50 × 10 11m 40 2 L...

Step 2 of 3

Chapter 10, Problem 38E is Solved
Step 3 of 3

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

(a) Calculate the magnitude of the angular momentum of the

×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide
×
Reset your password