// 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.angular-momentum-conservation Calculator
Calculates angular momentum L = Iω = mvr and applies conservation of angular momentum to spinning and orbiting systems. Angular momentum is conserved when net torque is zero — a spinning ice skater halving their moment of inertia doubles their angular velocity.
Inputs
Mass Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Initial Radius M
Distance from centre to edge of a circle. Radius = diameter / 2.
Initial Angular Velocity
Reference formula or conversion factor shown for context.
Final Radius M
Distance from centre to edge of a circle. Radius = diameter / 2.
Results
angular velocity omega₂ (rad/s)
Sample size or count used in the calculation.
angular momentum L (kg·m²/s)
Product of mass and velocity (kg·m/s). Conserved in all collisions — total momentum before equals total after. More mass or more speed makes stopping harder.
final tangential velocity (m/s)
Sample size or count used in the calculation.
L = Iω = mr²ω (point mass)
The computed mass of the object or substance.
ice skater analogy
The value at the specified point or condition.
KE ratio final/initial
The proportional relationship between two quantities.