Angular speed vs. Orbital speed

[austindubose]

Homework Statement

Consider a year to be precisely 365 days. Determine the angular speed of the Earth about the sun. If the Earth's mean distance from the sun is 1.496x10¹¹ meters and our orbit is circular, determine our orbital speed about the sun.

Homework Equations

ω=Δθ/T, where ω is the average angular velocity, Δθ is the distance around a circle (in radians) traveled, and T is the period of orbit.

The Attempt at a Solution

Using the formula mentioned above, I found the angular speed to be 1.99x10^-7 radians/sec, and I Googled the answer and found that this answer seems to be right (please correct me if I am still wrong). Would the orbital speed be the same idea expressed in a linear fashion (i.e., 29,806.08 m/s)?

Thanks for all your help yet again!

 

[dacruick]

Yes, all you would have to do is make the unit conversion from radians to metres. This would of course depend on the radius of the orbit.

 

[austindubose]

Thank you very much! I appreciate the quick reply