// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
sci.planetary-gear-speed-ratio Calculator
Calculates planetary gear train speed ratio, torque ratio, and reaction torques for sun-planet-ring configurations. Sun gear input, ring fixed: speed ratio = 1 + N_ring/N_sun — automatic transmissions use compound planetary sets to achieve 8–10 forward gear ratios without synchronisers.
Inputs
Z Sun
Reference formula or conversion factor shown for context.
Z Planet
Reference formula or conversion factor shown for context.
Z Ring
Reference formula or conversion factor shown for context.
N Sun Rpm
Rate of movement. 1 m/s = 3.6 km/h = 2.237 mph.
Carrier Fixed
Reference formula or conversion factor shown for context.
Results
sun-to-ring ratio (carrier free)
The proportional relationship between two quantities.
sun-to-carrier ratio (ring fixed)
The proportional relationship between two quantities.
ring speed (carrier fixed, rpm)
The computed rate of movement or processing.
carrier speed (ring fixed, rpm)
The computed rate of movement or processing.
Zr = Zs + 2·Zp (assembly condition)
Sample size or count used in the calculation.
check
A pass/fail verification against the applicable code, standard, or threshold.