J·s

joule second

Angular momentumexact by definition

The joule second is exactly equal to the kilogram square metre per second, since a joule is kg·m²/s². The two are the same unit under different names, and the equality is exact. Quantum mechanics prefers this form because the Planck constant, whose fixed value is 6.62607015 × 10⁻³⁴ J·s, is itself an angular momentum.

Watch out: The reduced Planck constant \(\hbar = h/2\pi\) is the natural quantum of angular momentum, and particle spins are quoted as multiples of it. A spin-1/2 particle has angular momentum \(\hbar/2\), about 5.27 × 10⁻³⁵ J·s. Do not mix \(h\) and \(\hbar\), which differ by a factor of \(2\pi\).

1 J·s 1 kg·m²/s
Solvers that use angular momentum