Rotation angular velocity

If, instead of a linear segment, the particle is free to move around a ring of radius R to which it is confined, coordinate x can be replaced by the angle of rotation angular velocity u = vjR becomes the analogue of linear velocity... 

The vorticity vector, w, is a measure of rotational effects, being equal to twice the local rate of rotation (angular velocity) of a fluid particle (i.e., uj = curl(v) = rot(v) = Vx V = 2Q) [168]. Many flows have negligible vorticity, uj curl(v) 0, and are appropriately called irrotational flows. 

Speed (velocity, rotation, angular velocity) Speedometers, pit logs, odometers, tachometers RPM gauge Magnetic effect, torsion springs... 

When working with RDE, thickness of the diffusion layer is determined by the rotational angular velocity (Eq. (12)). For every given rotation rate there is an upper limit in sweep rate for which maxima, characteristic for voltammetry in quiescent solution, are not present. For example, in aqueous solutions at room temperature, for angular velocity of 5 rps (revolutions per second) shape of the j-E curve remains unchanged up to sweep rates of 50 mV s. Conversely, for angular velocity of 2 rps, sweep rate of 50 mV s is too excessive, and characteristic current maxima in voltammetric curve can occur. 

J and Vrepresent the rotational angular momentum quantum number and tire velocity of tire CO2, respectively. The hot, excited CgFg donor can be produced via absorjDtion of a 248 nm excimer-laser pulse followed by rapid internal conversion of electronic energy to vibrational energy as described above. Note tliat tire result of this collision is to... 

Other orientational correlation coefficients can be calculated in the same way as tf correlation coefficients that we have discussed already. Thus, the reorientational coiTelatio coefficient of a single rigid molecule indicates the degree to which the orientation of molecule at a time t is related to its orientation at time 0. The angular velocity autocorrelatio function is the rotational equivalent of the velocity correlation function ... 

Since the radial acceleration functions simply as an amplified gravitational acceleration, the particles settle toward the bottom -that is, toward the circumference of the rotor-if the particle density is greater than that of the supporting medium. A distance r from the axis of rotation, the radial acceleration is given by co r, where co is the angular velocity in radians per second. The midpoint of an ultracentrifuge cell is typically about 6.5 cm from the axis of rotation, so at 10,000, 20,000, and 40,000 rpm, respectively, the accelerations are 7.13 X 10, 2.85 X 10 , and 1.14 X 10 m sec" or 7.27 X 10, 2.91 X 10, and 1.16 X 10 times the acceleration of gravity (g s). 

Specific Commercial Rotational Viscometers. Information on selected commercial rotational viscometers can be found ia Table 7. The ATS RheoSystems Stresstech rheometer is an iastmment that combines controlled stress as well as controlled strain (shear rate) and oscillatory measurements. It has a torque range of 10 to 50 mN-m, an angular velocity range of 0 to 300 rad/s, and a frequency range of seven decades. Operation and temperature programming (—30 to 150°C higher temperatures optional) are computer controlled. 

The mathematical model chosen for this analysis is that of a cylinder rotating about its axis (Fig. 2). Suitable end caps are assumed. The Hquid phase is introduced continuously at one end so that its angular velocity is identical everywhere with that of the cylinder. The dow is assumed to be uniform in the axial direction, forming a layer bound outwardly by the cylinder and inwardly by a free air—Hquid surface. Initially the continuous Hquid phase contains uniformly distributed spherical particles of a given size. The concentration of these particles is sufftcientiy low that thein interaction during sedimentation is neglected. 

Equation 26 is accurate only when the Hquids rotate at the same angular velocity as the bowl. As the Hquids move radially inward or outward these must be accelerated or decelerated as needed to maintain soHd-body rotation. The radius of the interface, r, is also affected by the radial height of the Hquid crest as it passes over the discharge dams, and these crests must be considered at higher flow rates. 

Angular Momentum (Moment of Momentum). Angular momentum is linear momentum (kg-m/s) times moment arm (m). Its SI unit is kg-m /s. For a rotating body the total angular momentum is equal to the moment of inertia I (kg-m ) times the angular velocity CO (rad/s or 1/s). 

Rotary atomisation produces the most uniform atomisation of any of the aforementioned techniques, and produces the smallest maximum particle sise. It is almost always used with electrostatics and at lower rotational speeds the electrostatics assist the atomisation. At higher rotational speeds the atomisation is principally mechanical in nature and does not depend on the electrical properties of the coating material. If the viscosity of a coating material is sufficiendy low that it can be deUvered to a rotary atomiser, the material can generally be atomised. The prime mover is usually an ak-driven turbine and, provided that the turbine has the requked power to accelerate the material to the angular velocity, Hquid-dow rates of up to 1000 cm /min can be atomised using an 8-cm diameter beU. 

Since the potential and current are sinusoidal, the impedance has a magnitude and a phase, which can be represented as a vector. A sinusoidal potential or current can be pictured as a rotating vec tor. For standard AC current, the rotation is at a constant angular velocity of 60 Hz. 

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