Answer:
Therefore, the new rotation rate of the satellite is 6.3 rev/s.
Explanation:
The expression for conservation of the angular momentum (L) is
Where
initial moment of inertia and angular velocity
is the final moment of inertia and angular velocity
The expression of moment of inertia of the satellite (a solid sphere) is
Where is the satellite mass
r is the radus of the sphere
Substititute 1900kg for m and 4.6m for r
The final moment of inertia of the satellite about the centre of mass
Where is the antenna's mass and
I is the length of the antenna
So, the Final rotation rate of the satellite is:
Therefore, the new rotation rate of the satellite is 6.3 rev/s.