A space probe in outer space has a gyroscope within it used for rotation and stabilization. The moment of inertia of the gyroscope is \( I_g = 24.5 \, \text{kg} \cdot \text{m}^2 \) about the axis of the gyroscope, and the moment of inertia of the rest of the space probe is \( I_s = 5.00 \times 10^5 \, \text{kg} \cdot \text{m}^2 \) about the same axis. Initially, both the space probe and gyroscope are not rotating. The gyroscope is then switched on and it nearly instantly starts rotating at an angular speed of \( 150 \, \text{rad/s} \). How long (in seconds) should the gyroscope operate at this speed in order to change the space probe's orientation by \( 26.0^\circ \)?\[ \_\_\_\_\_\_ \, \text{s} \]

When an object spins in a closed system and no external torques are applied on it, it will have no…

A space probe in outer space has a gyroscope within it used for rotation and stabilization. The moment of inertia of the gyroscope is I, = 24.5 kg · m? about the axis of the gyroscope, and the moment of inertia of the rest of the space probe is I, = 5.00 x 105 kg · m² about the same axis. Initially both the space probe and gyroscope are not rotating. The gyroscope is then switched on and it nearly instantly starts rotating at an angular speed of 150 rad/s. How long (in s) should the gyroscope operate at this speed in order to change the space probe's orientation by 26.0°?

A space probe in outer space has a gyroscope within it used for rotation and stabilization. The moment of inertia of the gyroscope is I, = 24.5 kg · m? about the axis of the gyroscope, and the moment of inertia of the rest of the space probe is I, = 5.00 x 105 kg · m² about the same axis. Initially both the space probe and gyroscope are not rotating. The gyroscope is then switched on and it nearly instantly starts rotating at an angular speed of 150 rad/s. How long (in s) should the gyroscope operate at this speed in order to change the space probe's orientation by 26.0°?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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