Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

Corrected mathematical models for inertial torques generated by a spinning sphere

View through CrossRef
The recent publications about inertial torques acting on spinning objects describe their physics by mathematical models. The several inertial torques are generated by the rotating mass which produces centrifugal, Coriolis forces, and the change in the angular momentum. The values of the inertial torques depend on the geometries of the spinning objects. The volumetric geometries of the objects request complex analytical processing of the expressions for the inertial torques. The analysis of the known publication related to the spinning sphere shows the expressions of inertial torques derived from errors in the mathematical processing of integral equations. The wrong limits of the integral equations that give incorrect values for the inertial torques of the spinning sphere present these errors. This manuscript presents the corrected mathematical model for the inertial torques generated by the rotating mass of the spinning solid and hollow sphere.
Title: Corrected mathematical models for inertial torques generated by a spinning sphere
Description:
The recent publications about inertial torques acting on spinning objects describe their physics by mathematical models.
The several inertial torques are generated by the rotating mass which produces centrifugal, Coriolis forces, and the change in the angular momentum.
The values of the inertial torques depend on the geometries of the spinning objects.
The volumetric geometries of the objects request complex analytical processing of the expressions for the inertial torques.
The analysis of the known publication related to the spinning sphere shows the expressions of inertial torques derived from errors in the mathematical processing of integral equations.
The wrong limits of the integral equations that give incorrect values for the inertial torques of the spinning sphere present these errors.
This manuscript presents the corrected mathematical model for the inertial torques generated by the rotating mass of the spinning solid and hollow sphere.

Related Results

Inertial torques acting on a spinning paraboloid
Inertial torques acting on a spinning paraboloid
Numerous gyroscopic devices consist of rotating components that manifest gyroscopic effects, i.e., the action of unexplainable inertial torques. The rotating objects in engineering...
Inertial Forces Acting on a Propeller of Aircraft
Inertial Forces Acting on a Propeller of Aircraft
Background:Aerospace vehicles use propellers with the different design that possess gyroscopic properties. Recent investigations in the area of gyroscope theory have demonstrated t...
Structure analysis of double comb about jet spinning machine based on CFD
Structure analysis of double comb about jet spinning machine based on CFD
PurposeAs a new type of spinning machine, the jet spinning machine absorbs the carding system of the rotating cup spinning series and the nozzle part of the jet spinning. This pape...
Inertial torques acting on a spinning sphere
Inertial torques acting on a spinning sphere
New studies of the dynamics of rotating objects have shown the origin of their gyroscopic effects is more sophisticated than presented in publications. Their rotating mass acting o...
Theoretical Study of a Spinning Triangle with Its Application in a Modified Ring Spinning System
Theoretical Study of a Spinning Triangle with Its Application in a Modified Ring Spinning System
The spinning triangle is a critical area in the spinning process of staple yarns. Its geometry influences the distribution of fiber tension in the spinning triangle and the propert...
The Application of Central Composite Design in Flash Spinning
The Application of Central Composite Design in Flash Spinning
In this paper, ultrahigh molecular weight polyethylene (UHMWPE) superfine fiber was fabricated by flash-spinning method using UHMWPE as the fiber-forming polymer, 1, 2-dichloroetha...
Physics of gyroscope nutation
Physics of gyroscope nutation
The known publications of the gyroscope property of maintaining its axis are represented by simplified mathematical models formulated on the law of kinetic energy conservation and ...
Embeddable and locatable spinning
Embeddable and locatable spinning
A novel spinning method: embeddable and locatable spinning, is reported for the first time in this paper. Analysis of the key restrictions of the conventional and some novel ring-s...

Back to Top