Angular Momentum Calculator

Your details

How the mass is spread about the axis. Use the reference table or the moment of inertia calculator.
kg·m²
Switch to RPM if your spin rate is in revolutions per minute; it is converted to rad/s for you.
Angular momentumModerate angular momentum
5kg·m²/s
Angular velocity (converted)10rad/s
Rotational kinetic energy (½Iω²)25J
5 kg·m²/s
Low<1Moderate1-100High100+

The angular momentum is 5 kg·m²/s.

  • Angular momentum is the rotational analog of linear momentum: it combines how mass is spread out (moment of inertia) with how fast the object spins (angular velocity).
  • It is conserved when no external torque acts, which is why a spinning skater speeds up as they pull their arms in, lowering their moment of inertia.
  • Reverse the spin direction and L changes sign; the magnitude shown here is what stays constant in a closed system.
  • The same spin stores 25 J of rotational kinetic energy (½Iω²), which unlike L does depend on the square of the spin rate.

Next stepUse the moment of inertia calculator to find I for your shape, then feed it back here to get L.

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