The problem involves a geostationary satellite that scans the Earth from a height of 36,000 km, with a specific focus on determining the rotational speed required to complete a scan cycle every 30 minutes. The satellite's scanning mechanism and the resolution of the scan pixels are key factors in the discussion.
Several participants are exploring different interpretations of the problem, questioning the logic behind the initial equations and suggesting the need for sketches to visualize the scanning profile. There is an ongoing dialogue about the correct approach to determine the angle subtending the arc and how many scan lines are needed to cover the area.
Participants note potential misunderstandings regarding the problem's requirements and the calculations involved. There is a focus on ensuring that the angle used in calculations is in the correct units, and some participants express uncertainty about the information needed to proceed effectively.
You're looking for an angular velocity. What units are appropriate? What units are associated with your values "1448.65" and "25"?Firben said:So if
s = rα = 36000*2*(π/180)*8.646 ≈ 10864.9 km
and the number of slices in 10865.9 is 1448.65
Thus
v = 1448.65/25 ≈ 58 km/s
Is this right ?
You're almost there, but you didn't answer my last question: What units are associated with your values "1448.65" and "25"?Firben said:v = 1448.65/25 = 58 rad/s
Is this approachable ? or is I am missing something ?
A value can't both have units of km and be dimensionless; it's a logical contradiction.Firben said:1448.65 is km or dimensionless and 25 is minutes. I am not sure what unit i should use here