Answer:
0.0026 m/s²
Explanation:
Centripetal acceleration is given as follows:
[tex]a=\frac{v^2}{r}\\where, v =\frac{2\pi r}{T}[/tex]
[tex]a=\frac{(\frac{2\pi r}{T})^2}{r}=\frac{4\pi^2r}{T^2}[/tex]
[tex]T=28.0 days\times 24hours\times 3600 s= 2.4\times10^6s[/tex]
[tex]r=240000 mi = 384.4\times 10^6 m[/tex]
Substitute the values:
[tex]a=\frac{4\pi^2 \times 384.4\times10^6}{(2.4\times10^6)^2}=0.0026m/s^2[/tex]
