Does the record move faster or ?

[Anonymous9001]

"Play a record on a record player. Draw a dot at a point on the outside of the record. Then draw a dot on the inner part of the record near the center, at the same level as the other dot.

Now draw a line on the record player as sort of a 'finish line' for the dot to cross when the record spins.

Play the record. As the record spins, both dots cross the 'finish line' at exactly the same time, even though the dot on the outside has a much longer distance to travel. Even though they're on the same record, it seems one dot is moving faster than the other, which is, of course, impossible."

Someone posted this online and I have struggled to understand why this is, I understand though that it's a simple concept but I do not know how to explain I suppose? It's indeed true the outside dot has a longer distance to travel while the inside has a shorter, and they're both moving at the same speed (I think?). Could anyone explain how this works?

Side note: This is not a homework question (as you can tell from the comment above it's not a question it's more of a statement for us to try out ourselves.

EDIT: I also have no idea where to post this, but I'm assuming this may be the right location.
I have attached a picture:
http://img809.imageshack.us/img809/7500/48043578.th.png

 

[Gordianus]

The paradox arises because you're comparing speed versus angular velocity.
The outer dot has greater speed because it travels a larger distance in a given time. However, both dots have the same angular velocity, because they make a full turn (360 degrees) in the same time.

 

[Anonymous9001]

Thank you for a quick and easy to understand answer; so the answer would be the following "The dots have the same angular velocity but the outside doth as a greater speed." if I read your comment right?

Thanks again!

 

[Gordianus]

Yeap.