Rotational Kinematics Question Homework Help needed

AI Thread Summary
The discussion focuses on calculating the tangential speed of the sun and the time it takes for the sun to complete one revolution around the Milky Way. For part (a), the formula used is VT = r(ω), where r is the radius and ω is the angular speed. In part (b), the user considers using the relationship between angular speed and time for one complete revolution, indicating that θ should equal 2π radians. Clarification is sought on whether this approach is correct for both calculations. The thread emphasizes the application of rotational kinematics principles to solve the problem.
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Our sun rotates in a circular orbit about the center of the Milky Way Galaxy. The radius of the orbit is 2.2x10^20 m, and the angular speed of the sun is 1.2x10^-15 rad/s. (a) What is the tangential speed of the sun? (b) How long (in years) does it take for the sun to make one revolution around the center?

(a) for part a all i did was VT=r(w) w=omega

(b) for this part since we know the constant speed is 1.2x10^-15 rad/s and since its one revolution theta should equal 2(pi) radians so am i supposed to use w(omega)= 0(theta)/t(time)

is this correct?
 
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