Answer:
[tex]1.66553\times 10^{-10}\ m/s^2[/tex]
217494.87601 m/s
Explanation:
Distance of Sun from the center of the Milky Way
[tex]r=3\times 10^8\times 3\times 10^4\times 365.25\times 24\times 3600[/tex]
Angular speed is given by
[tex]\omega=\dfrac{2\pi}{T}\\\Rightarrow \omega=\dfrac{2\pi}{2.6\times 10^8\times 365.25\times 24\times 3600}[/tex]
Centripetal acceleration is given by
[tex]a_c=\omega^2r\\\Rightarrow a_c=\left(\dfrac{2\pi }{2.6\times \:10^8\times 365.25\times 24\times 3600}\right)^2\times 3\times 10^8\times 3\times 10^4\times 365.25\times 24\times 3600\\\Rightarrow a_c=1.66553\times 10^{-10}\ m/s^2[/tex]
The centripetal acceleration is [tex]1.66553\times 10^{-10}\ m/s^2[/tex]
Velocity is given by
[tex]v=\omega r\\\Rightarrow v=\dfrac{2\pi}{2.6\times 10^8\times 365.25\times 24\times 3600}\times 3\times 10^8\times 3\times 10^4\times 365.25\times 24\times 3600\\\Rightarrow v=217494.87601\ m/s[/tex]
The average speed of the Sun in its galactic orbit is 217494.87601 m/s
