Radial Acceleration and Gravitational Force of the Sun in the Milky Way Galaxy

AI Thread Summary
To find the radial acceleration of the Sun in the Milky Way, the period of rotation (200 million years) must be converted into seconds for accurate calculations. The velocity can be determined using the formula v = 2(pi)(r)/period, where r is the distance from the center of the galaxy. Once the velocity is calculated, radial acceleration can be found using a = v^2/r. For the net gravitational force on the Sun, the formula F = mass of the Sun multiplied by the radial acceleration can be applied. Understanding these calculations is essential for determining the Sun's motion within the galaxy.
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Homework Statement


The Milky Way galaxy (including the sun) rotates about its center with a period of 200 million years. The sun is approx. 2 X 10^20m from the center of the galaxy. What is:
A) The radial acceleration of the sun?
B) What is the net gravitational force on the Sun due to other stars in the Milky Way Galaxy?


Homework Equations


v=2(pi)(r)/period
a=v^2/r


I just can't get my head around the 1 revolution per 200million years. How would I work that into a velocity? And then into an acceleration?
 
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You have the equation - you just need to know how many seconds in 200Myr

(Hint 60*60*24*365.25 * 200,000,000)
 
Then would I divide my seconds by 2(pi)(rad) to get my answer in rad/s?
 
To find the Net gravitational force on the sun due to other stars in the galaxy would it just be F= [mass (of sun)] [acceleration (radial acceleration that was found)]
 
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