? s A spacecraft is in empty space. It carries on board a gyroscope with a momen

Question

? s

A spacecraft is in empty space. It carries on board a gyroscope with a moment of inertia of Ig = 16.0 kg · m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00  105 kg · m2. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 120 rad/s. If the orientation of the spacecraft is to be changed by 36.0 degree , for what time interval should the gyroscope be operated? ? s

Explanation / Answer

Is ws = - Ig wg        where w is angular frequency

ws = Ig wg / Is   (ignoring sign)

theta = 36 / 360 * 2 * pi = .628 rad

theta = ws t

t = .628 * Is / (Ig * wg)

t = .626 * 5 * 10E5 / (16 * 120) = 163 sec

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.