Newton's Rotating Water Bucket: A Simple Model
NAVAL ACADEMY ANNAPOLIS MD DEPT OF PHYSICS
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Isaac Newton proposed hanging a bucket of water by a cord in the Principia. If the cord is twisted and the bucket is then released, it begins to spin and the surface of the water acquires a paraboloidal shape. In this paper, the parabolic profile as a function of the angle of rotation is derived, as well as the period of the torsional oscillations as a function of the initial parameters of the system.
- Fluid Mechanics