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Circular Motion of a carousel
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[QUOTE="gneill, post: 4512189, member: 293536"] Yes, I saw your attachment. It might be better if you were to number the positions and designate the vectors at those locations with subscripts referring to those numbers, like ##a_{c_2}## for the centripetal acceleration at point 2, rather than using Δ (which is usually reserved to mean "change in" some variable). You'll want to place vectors for the velocity and accelerations at each point. An object moving in a circle has some speed at any point along its path. While the overall motion may be circular, at any given instant in time that speed is associated with a velocity vector that points in the direction of motion which is tangent to the circle at that point. The speed is just the magnitude of that velocity vector. Speed is a scalar value that does not have any particular direction associated with it. The problem states that the rotation rate uniformly slows to a stop over some period of time. That means the [I]speed[/I] of the rider also drops uniformly. "Uniformly" is physics-speak for a linear relationship. So the speed is dropping linearly from its initial value down to zero. [/QUOTE]
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