The discussion revolves around understanding the sign convention for angles in radians, specifically addressing why an answer of 126 radians should be considered negative in the context of a rotating wagon's wheels.
Participants are actively discussing the conventions of positive and negative angles, with some suggesting that the usual convention is anticlockwise for positive rotations. There is an ongoing exploration of how these conventions apply to the specific problem at hand.
There is a mention of the need for clarity regarding whether a signed value is required, indicating potential confusion about the problem's requirements.
The wagon is moving in the +x direction. Which way will the wheels rotate? What is the usual convention for the sign of a rotation in planar co-ordinates?goonking said:
wheels will rotate clockwise.haruspex said:
Yes, and what is usually taken as the positive direction for a rotation in the plane?goonking said:
I thought it didn't matter which direction you set to be positive or negative.haruspex said:
The standard convention, e.g. in polar co-ordinates, is anticlockwise positive.goonking said: