The discussion revolves around the relationships between centripetal force, velocity, and the radius of an object in uniform circular motion. Participants are exploring how these variables interact within the context of circular motion.
The discussion is ongoing, with participants sharing insights and equations related to the topic. There is an exploration of whether the graphs of centripetal force versus velocity would also be parabolas, indicating a productive line of inquiry. However, there is no explicit consensus reached on the relationships discussed.
Participants note a lack of initial equations or clear relationships, which may affect their understanding and exploration of the problem. The original poster expresses uncertainty about the second problem regarding the radius.
physicsman2 said:I'm sorry but it doesn't help
Then consider a body of mass m, moving in a circle of radius r, with an angular velocity of ω.
The speed is v = r·ω.
The centripetal (inward) acceleration is a = r·ω2 = r−1·v2.
The centripetal force is F = m·a = r·m·ω2 = r−1·m·v2.