View source for Increasing bearing area to decrease friction

Friction in [[atomically precise diamondoid slide bearing]]s ... 
* is dominated by dynamic friction <br>which scales quadratically with speed: <br>1/2x speed => 1/4x friction | 1/10x speed => 1/100x friction
* is proportional to the bearing area (2x area => 2x friction)
For details see: [[Friction]]

Side-note: <br>
Low speed friction in macroscale bearings is quite different as it is <br>
speed independent, area independent, load dependent.

== The trick ==

This allows for a neat trick:
* Halving speed and 
* doubling machinery
(this keeps the total throughput constant) leads to
* quartering friction losses due to reduced bearing speed
* doubling friction losses due to increased bearing area
Overall a halving of friction.

'''Q:''' But isn't doubling the amount of machinery a problem? <br>
'''A:''' No! There is exceptionally little machinery needed to  <br>
get practical levels of throughput (aka product production rate). <br>
This is due to the [[scaling law]] of [[higher throughput of smaller machinery]].

=== Math ===

* P … (wearless) frictive losses – in W 
* A … bearing area – in m²
* n … number of [[sub layers]] – an integer
* v … speed of assembly … in m/s
* gamma … dynamic friction coefficient – W/(m²*(m/s)²)

<math> P = \gamma A n v^2 </math> <br>
Applying the trick: <br>
<math> P' = \gamma A (x n) (v/x)^2 </math> <br>
<math> P' = \gamma A n v^2 /x </math>

Related: [[Compenslow]]

This has limits though!

== Limits to the trick ==

'''See math on main page: [[Limits to lower friction despite higher bearing area]]'''

* assembly motions can be slowed down by adding more [[sub layers]].
* transport motions can not be slowed by adding more [[sub layers]].

At some point assembly motions reach become similarly slow as the assembly motions. <br>
At this point adding further [[sub-layer]]s there is no further reduction of frictive losses but rather frictive losses ride again. (eventually linearly).

== Applications cases ==

* This can be applied in the [[design of gem-gum on-chip factories]] to <br>optimize thickness of [[assembly layer]]s of [[gem-gum factories]] <br>or just to get estimates for likely system geometries
* This is the theoretical basis for [[infinitesimal bearing]]s.

== Related ==

* '''[[Optimal sublayernumber for minimal friction]]'''
* '''[[Deliberate slowdown at the lowest assembly level‎]]'''
* [[Friction]], [[Superlubricity]]
* [[Infinitesimal bearings]]
* [[Higher throughput of smaller machinery]]