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Rotation: Angular Velocity Dynamics

Problem #: 2 | Variant #: 2

A 9.795 kg, 1.43 m wide rectangular piece of plywood is horizontally mounted in such a way that it can be spun about its center. There is a 0.1966 N-m torque while it is rotating due to friction in the bearings. If it is set spinning at a rate of 18.3 rpm and takes 31.2 s to come to a stop, what is the length of the board?

m

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