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

Stabilization of the Hubble Space Telescope. The Hubble

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

Solution for problem 56E 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 1 241 Reviews
16
0
Problem 56E

Stabilization of the Hubble Space Telescope.? The Hubble Space Telescope is stabilized to within an angle of about 2-millionths of a degree by means of a series of gyroscopes that spin at 19,200 rpm. Although the structure of these gyroscopes is actually quite complex, we can model each of the gyroscopes as a thin-walled cylinder of mass 2.0 kg and diameter 5.0 cm, spinning about its central axis. How large a torque would it take to cause these gyroscopes to precess through an angle of 1.0 X 10-6 degree during a 5.0-hour exposure of a galaxy?

Step-by-Step Solution:

Solution 56E Introduction From the given angular displacement and time we can calculate the angular speed of precession. Then using the formula of angular speed of precession we can calculate the required torque. Step 1 The angular displacement is = 1.0 × 10 ° = 1.745 × 1rad The time is t = 5.0 hr = 18000 s Hence the angular speed of precession is Step 2 The moment of inertia of the gyroscope about the spinning axis is We know that the mass of the gyroscope is m = 2.00 kg and the radius of the gyroscope is r = (2.0 cm)/2 = 1.0 cm = 1.0 × 10m So the moment of inertia is

Step 3 of 4

Chapter 10, Problem 56E is Solved
Step 4 of 4

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:

Stabilization of the Hubble Space Telescope. The Hubble

×
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