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one orbit in 3 hr
360º in 3 hr = 120º / hr
2º / min
360º in 3 hr = 120º / hr
2º / min
Angular velocity (ω) = 2π / Period (T)
In this case, the Period (T) is given as 3 hours.
First, we need to convert the period from hours to seconds, as angular velocity is typically measured in radians per second:
T = 3 hours * 60 minutes/hour * 60 seconds/minute
T = 10,800 seconds
Now we can calculate the angular velocity:
ω = 2π / T
ω = 2π / 10,800
ω ≈ 0.000582 rad/s
Therefore, the angular velocity of the satellite is approximately 0.000582 radians per second.