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proper acceleration
noun
The acceleration felt by an object, as opposed to the coordinate acceleration. For example the acceleration of an object at the surface of the Earth is 9.81 m/s^2 upwards, but has no coordinate acceleration. The proper acceleration of an object is Lorentz invariant.
Exact(3)
Using Eq. (1), the transformation of coordinates between an inertial Minkowski observer and the non-inertial Rindler observer moving with uniform proper acceleration is: begin{aligned} begin{aligned} &t=chi sinh biggl(frac{tau }{chi }biggr) &x=chi cosh biggl(frac{tau }{chi }biggr).
Both are important assumptions featuring in their computations of the times to reach the proper acceleration sensitivity thresholds.
In particular, the accelerometer's proper acceleration must be converted into dynamic acceleration using the formula a → dyn = a → prop - g → (for a better understanding of how the gravity's direction is obtained refer to [ 36 ]) and then integrated into velocity using the formula v → t = ∫ a → dyn (t ) d t.
Similar(57)
Articulating inertial torque calculations, therefore, heavily depend on the proper determination of beam acceleration; the different solutions of which are detailed later.
Separated Function Radio Frequency Quadrupoles (SFRFQ) structure is a new post accelerator of RFQ, the higher accelerating efficiency and transmission make it become a proper choice for the post acceleration after the integral split ring RFQ (ISR RFQ -1000 acceleRFQ -1000Peking University [Y.R. Lu, J.F. Guo, W.G. Li, et acceleratorInstr. atd Meth. A 420 (1999) 2].
Using proper constraints for the empirical accelerations can significantly improve the accuracy of the estimated non-gravitational accelerations (van den IJssel and Visser 2005).
This would follow because, even in flat spacetime, there are timelike paths with unbounded acceleration which have only a finite proper length (proper time, in this case) and are also inextendible.
This enormous acceleration is due to proper matching of algorithmic requirements to architectural strengths of the system's hybrid components.
On the machine level, the approaches include avoiding unnecessary stopping and restarting of the spindle, shortening the acceleration time, lightweight design, proper use and maintenance of the spindle.
The quality of the recovered accelerations depends strongly on proper regularisation of the associated normal equations.
"I had my jump and acceleration today, but it was proper hard," Cavendish told Eurosport television.
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