If you double the radius how will that affect tangential velocity?

Answer 1

Your question leaves a lot to the imagination. One can only assume that you are talking about an object in circular motion, and you wish to know how doubling the radius of the orbit will change the linear -- or tangential -- speed of the object. The trouble is, we don't know the angular velocity of either condition, so let's assume there is no difference. The following model illustrates. Imagine you have a rope two meters long with a handle on one end, a ball on the other, and another ball located directly in between. Now, imagine yourself swinging the rope overhead so that the balls trace a circular path. Both balls will have the same angular velocity, but the outside ball is moving much faster, because it has a greater distance to cover. How much greater? Well, since the circumference of a circle is proportional to the square of the radius, doubling the radius quadruples the circumference, so the outside ball must travel four times faster to keep up with the inside ball.