Answer:
a ≈ [tex]2.657360411*10^{-3}[/tex] m/s^2
Explanation:
Let's convert the values into SI unit.
r = 3.8*10^5 km = 3.8*10^8 m
T = 27.5 days = 2376000 seconds
Now, apply the equation [tex]T = \frac{2\pi r}{v}[/tex]
[tex]v = \frac{2\pi(3.8e8) }{2376000}[/tex]
v ≈ 1004.886539 m/s
Now, apply the equation [tex]a = \frac{v^{2} }{r}[/tex]
[tex]a = \frac{1004.886539^{2} }{3.8e8}[/tex]
a ≈ [tex]2.657360411*10^{-3}[/tex] m/s^2
