A 1200-kg satellite is inserted into its orbit with its solar panels collapsed r

Question

A 1200-kg satellite is inserted into its orbit with its solar panels collapsed rotating about its z-axis at a rate of 1.5 rev/sec. Determine the satellite primes angular velocity after its solar panels deploy. You may assume that the satellite has a radius of gyration with respect to the mass center about the z-axis of 0.5 m when its solar panels are collapsed and a radius of gyration of 0.85 m when its solar panels are deployed. a) omega = 0.52 rev/s b) omega = 0.62 rev/s c) omega = 0.72 rev/s d) omega = 0.82 rev/s

Explanation / Answer

I=mk^2

initial k=0.5

intial I=m*0.5^2

final k=0.85

final I=m*0.85^2

initial angular speed=1.5 rev /sec

conserving angular momentum

initial I*initial angular speed=final I*final angular speed

final angular speed=0.52 rev /sec

(a) is correct

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