Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft relative to Earth is =- 1.7b +0.78b2+0.3b3 (in rad/s) and the angular acceleration of the spacecraft relative to Earth is zero. Now consider a top spinning in the spacecraft with an angular velocity relative to the spacecraft of r - 9.7b, +0.1562+0.12b3 (in rad/s) and angular acceleration relative to the spacecraft of är = 0.09b +0.14b2+0.25b3 (in rad/s?). What is the magnitude of the angular acceleration (in rad/s°) of the spinning top relative to the Earth reference frame. Note b1, b2, bg are unit vectors fixed in the spacecraft reference frame.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft
relative to Earth is a = 1.7b, +0.78b2+0.36g (in rad/s) and the angular acceleration of the
spacecraft relative to Earth is zero. Now consider a top spinning in the spacecraft with an angular
velocity relative to the spacecraft of ur = 9.7h, +0.1562 +0.12bg (in rad/s) and angular acceleration
relative to the spacecraft of är = 0.09b +0.1462+0.25&g (in rad/s). What is the magnitude of the
angular acceleration (in rad/s?) of the spinning top relative to the Earth reference frame.
Note b1, b2, bz are unit vectors fixed in the spacecraft reference frame.
Transcribed Image Text:Consider a spacecraft orbiting Earth. At an instant in time, the angular velocity of the spacecraft relative to Earth is a = 1.7b, +0.78b2+0.36g (in rad/s) and the angular acceleration of the spacecraft relative to Earth is zero. Now consider a top spinning in the spacecraft with an angular velocity relative to the spacecraft of ur = 9.7h, +0.1562 +0.12bg (in rad/s) and angular acceleration relative to the spacecraft of är = 0.09b +0.1462+0.25&g (in rad/s). What is the magnitude of the angular acceleration (in rad/s?) of the spinning top relative to the Earth reference frame. Note b1, b2, bz are unit vectors fixed in the spacecraft reference frame.
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