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# Angular Variables and Tangential Variables

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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 2.2 1020 m, and the angular speed of the sun is 1.2 10-15 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?

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https://brainmass.com/physics/galaxies/angular-variables-and-tangential-variables-135094

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Please find the answer in the attached file. Thank You.
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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 2.2 1020 m, and the angular speed of the sun ...

#### Solution Summary

I have provided step-by-step solution to this problem which involves sun's circular orbit.

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## Rotation of a Rigid Body

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity of 0.200 rev/s . The angular acceleration is 0.911 rev/s^2 . Its blades form a circle of diameter 0.720m .

a) Through how many revolutions has the blade turned in the time interval 0.201s?
b) What is the tangential speed v_tan (in m/s) of a point on the tip of the blade at time 0.201s?
c) What is the magnitude of the resultant acceleration (in m/s^2)of a point on the tip of the blade at time 0.201s?

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