In all cases of uniform or nonuniform motion along straight or curved paths it remains true that an extremum of the relative distance (16a) will correspond to a relative velocity orthogonal to the relative position (16b) and that extremum will be the minimum separation distance if the relative acceleration (19a) meets the condition (19b) that may be interpreted as stating that the total acceleration, including the centripetal acceleration
, must cause the vehicles to move away from each other.
In particular, the analysis focuses attention on the influence of nonstandard inertial forces involved in the moving system mass description arising from Coriolis acceleration and centripetal acceleration. In order to quantify the amplification effects produced by the moving loads over the static solution, numerical results are proposed in terms of dynamic amplification factors (DAFs).
(ii) The dynamic behavior of tied-arch bridges appears to be quite dependent from the effect of the travelling mass and large underestimations in dynamic amplification factors are noted if the inertial forces of moving system are not properly evaluated; in particular, the analyses denote that nonstandard inertial forces arising from Coriolis acceleration and centripetal acceleration determine the largest dynamic amplification in both kinematic and stress variables, mainly at high speeds of the moving system.
where the second and the third terms on right hand side in the acceleration function are known in the literature as the Coriolis acceleration and centripetal acceleration, respectively .
Conventional wisdom has it that this centripetal acceleration is not affected by relativity, since it acts in a direction which is normal to the velocity of the object.
We can of course use this same argument to substitute Relativistic Velocity for Actual Velocity in the formula for centripetal acceleration and hence derive expressions for centripetal and centrifugal forces.
When combined with Newton's second law this leads to the idea that a body in circular motion is subject to a constant acceleration towards the centre called centripetal acceleration.
By the conventional interpretation, translatory and centripetal accelerations
can be regarded as two extremes of the motion vector.
in excess of 300,000 g induce sedimentation, and the process is followed optically by a light beam that runs through the length of the sample cell.
The centrifuge's main spin axis delivers computer-controlled centripetal accelerations
from 0 (stopped) to 1.4 g (240 deg/sec) to the head of the animal in either test container.