Areal Velocity
Classical Mechanics
Level
2
An earth satellite has a mass 10000kg and angular momentum L. Find its areal velocity. answer in S.I units
The answer is 28.
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1 solution
Areal velocity = dA/dt . dA/dt = (r x v)/2 as the area swept is representable as a triangle whose area is half of a parallelogram. Given that angular momentum, L = r x mv. Then, dA/dt = L/2m. Plugging in the given quantities: dA/dt = 56000/2000 = 28.