Question

Two objects have the same center point of the circle, but are located at different positions away from the center point. Each object is moving with uniform circular motion.

Which would describe the tangential speed of the objects?

both objects would have the same tangential speed
the object with the smaller radius has a faster tangential speed
the object with the larger radius has a faster tangential speed
both objects would have oscillating tangential speeds

Answer 1

The object with the larger radius has a faster tangential speed.

Reason: for uniform circular motion v = ω r (or v = 2πr/T). With the same angular speed ω (or same period T), tangential speed v is proportional to radius r, so the larger radius gives the larger v.