In mechanics: doea the length of the wire affects the angle?

1. Jun 24, 2015

Tali

1. The problem statement, all variables and given/known data
general question: if I give a ball velocity (He is tied to a wire (tension)) and consider that the wire has no mass. Does the lenght of the wire affects the angle?
If I solve this with energy tools then I get that the longer the wire the smaller the angle.
it does not settle down with my intuitaion.

2. Relevant equations

3. The attempt at a solution

2. Jun 24, 2015

RUber

The length of the wire will affect your change in angle with respect to time, or your angular velocity.
You are describing a revolving-type system where the wire causes the ball to revolve around the center, right?
Think of it this way, if speed is constant, the path increases with the length of the wire, and so the number of radians traversed in one second would decrease as the length of the wire increased.