Question

An object is rotating at a constant angular velocity of 0.50 rad/s. What angle (in deg) does the object rotate through in 12 s?

Answer 1

(0.50 rad/s) * (12 s) = 6 rad

Convert this to degrees; for every π rad, you have 180º, so

6 rad = (6 rad) * (180/π º/rad) = (1080/π)º

or about 343.76º.