An object is traveling around a circle with a radius of 2 meters. If in 20 seconds the object travels 5 meters, what is its angular speed? What is its linear speed?

I found ##0.25m/s## and ##0.125"rad/s"##.

The linear speed will be: ##v="distance"/"time"=5/20=0.25m/s## The angular speed is: ##omega="angle"/"time"=theta/t## but...how do we find the angle described by our object???? We know that between radius, ##r##, angle ##theta## (in radians) and arc length ##s## there is a relationship as: ##s=rtheta## so ##theta=s/r=5/2##rad Finally then: ##omega=(5/2)/20=0.125"rad/s"##

The two speeds are also connected through the radius as: ##v=omega*r##...try it!!! :-)