Force centripetal

Centripetal Acceleration. Centripetal acceleration, /r or CO r, where is the tangential linear velocity (m/s), rthe radius (m), and CO the angular velocity (rad/s), is, like any other linear acceleration, measured in SI units m/s. Centripetal force, equal to mass times centripetal acceleration, is, like any force in SI, measured in newtons. 

Cyclone Separators Finer feed sohds, from 0.04 to 0.0005 m (1.5 in to 28 mesh), may be treated in dynamic separators of the Dutch State Mines cyclone type (Fig. 19-36). In cyclone separators, the medium and the feed enter the separator together tangentially at the feed inlet (1) the short cyhndiical section (2) carries the central vortex finder (3), which prevents short circuiting within the cyclone. Separation is made in the cone-shaped part of the cyclone (4) by the action of centrifugal and centripetal forces. The heavier portion of the feed leaves the cyclone at the apex opening (5), and the hghter portion leaves at the overflow top orifice (6). 

Magnetic Sector Field. In a magnetic field B an ion with the velocity v and the charge q experiences a centripetal force, the Lorentz force P ... 

Anstzebekraft,/. centripetal force, anstreben, v.i. strive toward oppose. — v.t. strive for. 

Mechanical imbalance is not the only form of imbalance that affects rotating elements. It is the condition where more weight is on one side of a centerline of a rotor than on the other. In many cases, rotor imbalance is the result of an imbalance between centripetal forces generated by the rotation. The source of rotor vibration also can be an imbalance between the lift generated by the rotor and gravity. 

Another sedimentation method used is the so-called MSA-analyzer. If the value of "g" in 5.10.8. is increased (such as the use of a centrifuge) one can analyze the very smaU particles in any given distribution in a short time. The problem of course lies in accurate determination of the weight accumulated at a given time under a specific centripetal force. This problem has been neatly solved by careful design of the sedimentation tube, as shown in the following diagram ... 

Here Tq is the unit vector perpendicular to the z-axis, and r is its distance to the point q. From this equation it follows that the sum of the two true forces represents the centripetal force. In other words, the distribution of the attraction and surface forces per unit volume ... 

Inasmuch as formulas for the attraction and centripetal forces are known, it is natural to express the surface forces in terms of these quantities. With this purpose in mind it is convenient to introduce the field of the surface forces as... 

There are three types of mass transport processes within a microfluidic system convection, diffusion, and immigration. Much more common are mixtures of three types of mass transport. It is essential to design a well-controlled transport scheme for the microsystem. Convection can be generated by different forces, such as capillary effect, thermal difference, gravity, a pressurized air bladder, the centripetal forces in a spinning disk, mechanical and electroosmotic pumps, in the microsystem. The mechanical and electroosmotic pumps are often used for transport in a microfluidic system due to their convenience, and will be further discussed in section 11.5.2. The migration is a direct transport of molecules in response to an electric field. In most cases, the moving... 

Most spectroscopic binaries have periods ranging from days to months and are separated by distances of order 1 AU. A consequence of knowing the period of the star and separation, measured optically, is the determination of the mass of the stars. Assuming that the two stars are in circular orbit, for the sake of simplicity, then a centripetal force is required to keep them moving in orbit. Gravity provides this attraction and the two forces must be balanced. The complete solution of this problem is hard and only a combined mass can be derived without knowing some information other than the period of rotation. 

Colon and Maloney demonstrated another packing method that also avoids pumping the slurry through the column [51]. They used centripetal force to drive beads, which have a higher density than the liquid contained in solvent slurry, through the capillary. Their packing equipment enables a rotation speed of up to 3000 rpm at which the packing time is only 5-15 min. 

In the absence of friction, there are two forces acting on the mass m whose position vector at time t is denoted by the vector r[r] measured relative to the support point, which is the origin of a set of Cartesian axes with three-component k in the upward vertical direction. The first is the force of gravity on the mass, which acts downwards with a value —mgk. The second is the centripetal force, unknown for the moment, which is directed along the support towards the universal point. We denote this force by — Tr t, where Tis a scalar function of time to be found. The Newtonian equations of motion can then be written as... 

Another way of thinking of the centripetal force is that it is a force arising hecause the mass is constrained to move on the surface of a sphere, expressed by the constraint... 

Concerning the membrane itself, phospholipid hydration was characterized in terms of the types of water, bound and bulk, and their exchange rates, as well as direct observation of the intermolecular contacts between the phosphate headgroup and bound water via HRMAS HOESY and between lipids in mixed membranes via HRMAS NOESY.112 Significantly, Zhou and co-workers found little dehydration of the membranes even when rotation rates as high as 9 kHz were used, providing some comfort that the centripetal forces of sample rotation are not changing the structure of the membrane. 

An ion with charge ze and velocity v traveling perpendicular to a magnetic field B experiences a force z.exB that is perpendicular to both the velocity vector and the magnetic field vector. This force deflects the ion through a circular path of radius r. The centripetal force (mx2/r) required to deflect the particle is provided by the magnetic field. 

Suppose the ion now enters a deflecting electric field S at right angles to the direction of the field (Fig. 6.53). The ion will then move in a circular path of radius re and the consequent reaction to the centripetal force will be ... 

For a particle moving in a curved path the centripetal force is related in mechanics to the mass, the velocity and the radius of the path by the expression... 

If the electron is to maintain a stable orbit, the electrostatic force and the centripetal force must be the same. Therefore, Eqs. 2.1 and 2.5 give... 

In a planetary system, the centripetal force is provided by the gravitational pull of the Sun. In atoms, this force comes from electrostatic interaction... 

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