The sun goes around the center of our galaxy once every 250 million years. The sun is also 2.55×10^20 m from the center of our galaxy. What is the acceleration of our sun towards the center of the galaxy in m/s^2?
v^2/r
to get v
first the period T
250*10^6 yr (365 d/yr)(24 hr/d)(3600s/hr)
= 7.88*10^15 seconds period
speed = 2 pi r/T
= 2 pi (2.55*10^20)/7.88*10^15
= 2.03 * 10^5 m/s
Ac = v^2/r = (2.03*10^5)^2 /2.55*10^20
= 1.62 * 10-10 m/s^2