A circular satellite with moment of inertial 18125 kg m2 is spinning due to the rockets shown. The rockets each have a mass of 275 kg, and the satellite has a radius of 3.55 m. a. What is the total moment of inertia of the satellite and rockets? b. The rockets accelerate the satellite from not rotating to rotating at 32.75 rpm (revolutions per minute) in 5 minutes. What is the final angular velocity in rad/s? c. What is the angular acceleration? d. What total torque is provided by the rockets? e. What must be the force from each rocket?

A circular satellite with moment of inertial 18125 kg m2 is spinning due to the rockets shown. The rockets each have a mass of 275 kg, and the satellite has a radius of 3.55 m. a. What is the total moment of inertia of the satellite and rockets? b. The rockets accelerate the satellite from not rotating to rotating at 32.75 rpm (revolutions per minute) in 5 minutes. What is the final angular velocity in rad/s? c. What is the angular acceleration? d. What total torque is provided by the rockets? e. What must be the force from each rocket?

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Question

A circular satellite with moment of inertial 18125 kg m² is spinning due to the rockets shown. The rockets each have a mass of 275 kg, and the satellite has a radius of 3.55 m.

a. What is the total moment of inertia of the satellite and rockets?

b. The rockets accelerate the satellite from not rotating to rotating at 32.75 rpm (revolutions per minute) in 5 minutes. What is the final angular velocity in rad/s?

c. What is the angular acceleration?

d. What total torque is provided by the rockets?

e. What must be the force from each rocket?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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