Is it possible to express angular speed in degrees per second? if so, what's the conversion factor from radians per second?

yes, it is possible to express angular speed in degrees per second as well as radians per second.

Explanation: Since, we know that angular speed is the rate in which an object changes its angle in a given time period.Generally, we measure angular speed in radians.

ω= , where is the angle in radian and t is time. so let us consider we have angular velocity ω= 3 radian per second.And, we want to change it in degree per second.

Since, radians=360° ⇒ radians=180°  

So, 1 radian= 180°/

Angular speed = 3×180°/  radian per second.

Thus, when we want to change angular speed from radian to degree we should multiply by 180°/.

Similarly, when we want to find in radian per second from degree per second then we have to multiply by /180°.