Radians: Negative 126 Answer Explained

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SUMMARY

The discussion centers on the convention of signed angles in rotational motion, specifically addressing the confusion surrounding the answer of negative 126 radians. The consensus is that in planar coordinates, the standard convention dictates that counterclockwise rotations are considered positive, while clockwise rotations are negative. Therefore, since the wagon's wheels rotate clockwise, the correct answer is indeed negative 126 radians. This highlights the importance of understanding the sign conventions in angular measurements.

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Homework Statement


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Homework Equations

The Attempt at a Solution


So, I got the answer to be 126 radians BUT my answer was wrong because it was suppose to be NEGATIVE 126 radians. Can someone explain why my answer was suppose to be negative?
 
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goonking said:
Can someone explain why my answer was suppose to be negative?
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?

(That said, I think it could me made clearer that a signed value is wanted, not just a magnitude.)
 
haruspex said:
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?

(That said, I think it could me made clearer that a signed value is wanted, not just a magnitude.)
wheels will rotate clockwise.
 
goonking said:
wheels will rotate clockwise.
Yes, and what is usually taken as the positive direction for a rotation in the plane?
 
haruspex said:
Yes, and what is usually taken as the positive direction for a rotation in the plane?
I thought it didn't matter which direction you set to be positive or negative.
 
goonking said:
I thought it didn't matter which direction you set to be positive or negative.
The standard convention, e.g. in polar co-ordinates, is anticlockwise positive.
 

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