Accession Number:

ADA592010

Title:

Newton's Rotating Water Bucket: A Simple Model

Descriptive Note:

Journal article

Corporate Author:

NAVAL ACADEMY ANNAPOLIS MD DEPT OF PHYSICS

Report Date:

2013-01-01

Pagination or Media Count:

11.0

Abstract:

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.

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE