A spaceship in outer space has a gyroscope within it used for rotation and stabilization. The moment of inertia of the gyroscope is I, = 22.5 kg · m? about the axis of the gyroscope, and the moment of inertia of the rest of the spaceship is I, = 5.00 x 10° kg · m2 about the same axis. Initially both the spaceship and gyroscope are not rotating. The gyroscope is then switched on and it nearly instantly starts rotating at an angular speed of 145 rad/s. How long (in s) should the gyroscope operate at this speed in order to change the spaceship's orientation by 20.0°? Need Help? Read It

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
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A spaceship in outer space has a gyroscope within it used for rotation and stabilization. The moment of inertia of the gyroscope is I,
= 22.5 kg · m? about the axis of the
5.00 x 10° kg m² about the same axis. Initially both the spaceship and gyroscope are not
gyroscope, and the moment of inertia of the rest of the spaceship is I.
rotating. The gyroscope is then switched on and it nearly instantly starts rotating at an angular speed of 145 rad/s. How long (in s) should the gyroscope operate at this
speed in order to change the spaceship's orientation by 20.0°?
Need Help?
Read It
Transcribed Image Text:A spaceship in outer space has a gyroscope within it used for rotation and stabilization. The moment of inertia of the gyroscope is I, = 22.5 kg · m? about the axis of the 5.00 x 10° kg m² about the same axis. Initially both the spaceship and gyroscope are not gyroscope, and the moment of inertia of the rest of the spaceship is I. rotating. The gyroscope is then switched on and it nearly instantly starts rotating at an angular speed of 145 rad/s. How long (in s) should the gyroscope operate at this speed in order to change the spaceship's orientation by 20.0°? Need Help? Read It
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