Reading some books there is something that i don't understand. Is the capacitors topics when they name a potential difference between conductors. As i know, Potential difference is the difference in electric potential energy per unit charge between two points.
So, talking about capacitors, the potential difference between conductors is:
a) The difference between the potential of each conductor.
b) The difference of potential between those 2 points:
(conductor)
I probably would have calculated the angular velocity at the top of the circle. But the question is clearly ambiguous, and I don't think it was unreasonable of you to take "the angular velocity of ... the swing" to mean the initial velocity of the swing, starting from the bottom. The question should have said "calculate the angular velocity at the top of the swing", in order to make it clear what's being asked for. Most likely the person setting the question didn't actually consider that the angular velocity would be changing throughout the bucket's motion. I've never marked a test, but if you started by calculating the angular velocity at the top of the swing and wrote down g/l???? then I probably would have given you the marks for that (since it's the correct answer according to the answer scheme) and just ignored the extra part.
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