Scaling laws by degree of knownness

Very widely known

ATM barely any descriptions on the listed pages here. Most is on page: Scaling law.
I advise visiting any of the countless sources on the web for details.

• Twice the surface area of half the volume
• Thousandfold lower mass of tenfold smaller machinery
• Twice the frequency of half sized machinery

Somewhat known

More details here:

• Same absolute speeds for smaller machinery
  Usually formulated indirectly by stating that machine frequencies rise linearly with falling size.
  This one is basically equivalent: Twice the frequency of half sized machinery

Not a size but a speed scaling law:

• Hundredfold smaller frictionlosses from tenfold slowdown
  There might still be dissipation mechanisms that scale differently.
  See: Accidental heatpump bearing

Very poorly known (but very important)

• Higher throughput of smaller machinery
• Same relative deflections across scales

---

Less relevant but a bit flabbergasting:

• Lower stiffness of smaller machinery

External links

(It's a word: https://en.wiktionary.org/wiki/knownness)