A space craft may be modeled as a uniform disk. Suppose the disk shaped craft has a mass of 2500 kg and a radius of 5.67 ngedalla par pplica meters. (a) What is the moment of inertia of the spacecraft? (b) Two rocket engines on opposite sides of the craft each apply an identical tangential force to impart a uniform angular acceleration in the counterclockwise sense. Suppose the craft acceleration from rest to an angular velocity of 1.00 revolutions per second in the counter clockwise sense over a period of 30.0 seconds. What is this final angular velocity in radians per second? (c) What is the angular acceleration of the craft over the period of uniform angular ac- celeration? (d) What net torque is needed to achieve the angular acceleration in part (c)? (e) What force is applied by each rocket engine during the period of uniform angular accel- eration?

Principles of Physics: A Calculus-Based Text
5th Edition
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Chapter10: Rotational Motion
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A space craft may be modeled
as a uniform disk. Suppose the disk shaped craft has a mass of 2500 kg and a radius of 5.67
ngedalla par
pplica
meters.
(a) What is the moment of inertia of the spacecraft?
(b) Two rocket engines on opposite sides of the craft each apply an identical tangential
force to impart a uniform angular acceleration in the counterclockwise sense. Suppose the
craft acceleration from rest to an angular velocity of 1.00 revolutions per second in the
counter clockwise sense over a period of 30.0 seconds. What is this final angular velocity in
radians per second?
(c) What is the angular acceleration of the craft over the period of uniform angular ac-
celeration?
(d) What net torque is needed to achieve the angular acceleration in part (c)?
(e) What force is applied by each rocket engine during the period of uniform angular accel-
eration?
Transcribed Image Text:A space craft may be modeled as a uniform disk. Suppose the disk shaped craft has a mass of 2500 kg and a radius of 5.67 ngedalla par pplica meters. (a) What is the moment of inertia of the spacecraft? (b) Two rocket engines on opposite sides of the craft each apply an identical tangential force to impart a uniform angular acceleration in the counterclockwise sense. Suppose the craft acceleration from rest to an angular velocity of 1.00 revolutions per second in the counter clockwise sense over a period of 30.0 seconds. What is this final angular velocity in radians per second? (c) What is the angular acceleration of the craft over the period of uniform angular ac- celeration? (d) What net torque is needed to achieve the angular acceleration in part (c)? (e) What force is applied by each rocket engine during the period of uniform angular accel- eration?
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