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Satellite systems
Published in Geoff Lewis, Communications Technology Handbook, 2013
The force acting on a body, constrained to circular motion, is proportional to its mass, the radius of the circular path and the square of the angular velocity. Thus the force acting on a geostationary satellite against gravity is given by: Fc=Msrω2Newtons
Workstation Design
Published in Stephan Konz, Steven Johnson, Work Design, 2018
Figure 11.20 shows how this same principle applies to hand-polishing operations, whether they are with a rag (in a factory or on your car) or performed with pressure applied by the end of a pole or hose (broom, mop, vacuum cleaner). Writing vs. printing is another example. In a kitchen, stirring soup represents the same principle. (If there is insufficient mixing of product with circular stirring in a circular container, use a rectangular container to furnish the turbulence rather than using a zigzag motion.) Bicycle pedals are another example of the principle of circular motion.
Uniform circular motion
Published in Gopal Madabhushi, Centrifuge Modelling for Civil Engineers, 2015
A body is said to be in uniform circular motion if it travels around a circle or circular path at a constant speed. Let us consider a solid sphere travelling around in a circular path of radius r as shown in Figure 3.3. The sphere is travelling at a uniform speed of v. However, its velocity ν is constantly changing as the sphere changes its direction of travel as it goes round the circular path. In uniform circular motion the acceleration of the particle occurs because of change in direction of the velocity although the magnitude of velocity (speed) remains constant.
Reliability modeling for multi-component system subject to dependent competing failure processes with phase-type distribution considering multiple shock sources
Published in Quality Engineering, 2023
Hao Lyu, Shuai Wang, Zaiyou Yang, Hongchen Qu, Li Ma
We use a micro-engine in micro-electro-mechanical system (MEMS) as an illustration. The micro-engine includes comb-drive actuators and a rotating gear. The linear displacement of the comb-drive is transformed into the circular motion of the gear via the pin joint by applying voltage. Therefore, the wear process of the contact surface between the cylindrical pin and the rotating gear can be regarded as a soft failure process. In addition, the system will be affected by shocks, and a large enough shock will lead to spring fracture; this is a hard failure process (Tanner et al. 2000). At the same time, the micro-engine will be affected by vibration, which will not affect the spring but may cause adhesion between the combs, resulting in an electric short. Therefore, it is significant to classify the shock set of each component to establish the reliability model of a multi-component system experiencing DCFP.
Guiding neutral polar molecules by electromagnetic vortex field
Published in Journal of Modern Optics, 2020
Keeping in mind that γ is in general very small, the resonance condition (22) can be given the elegant form: where is the angular velocity of the particle in a circular motion state. This equation may be called a viral relation because it states that the kinetic energy in the rotational motion of a solid (this solid on the circular trajectory must be rotating with velocity equal to in order to stay synchronized with the vortex field) amounts to minus one half of the potential energy of the interaction of a dipole with the external field.
Visual servoing tracking control of uncalibrated manipulators with a moving feature point
Published in International Journal of Systems Science, 2018
Accordingly, the regressing matrices are given by Then, consider the circular motion case. In this case, the following holds Define and , , . The unknown parameter vector can be written in . The regressing matrices are given by