J⋅s\text{J}{\cdot}\text{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 ℏ=h/2π\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 ℏ/2\hbar/2, about 5.27 × 10⁻³⁵ J·s. Do not mix hh and ℏ\hbar, which differ by a factor of 2π2\pi.

1 J⋅s\text{J}{\cdot}\text{s} 1 kg⋅m2/s\text{kg}{\cdot}\text{m}^{2}\text{/s}

One joule second in every angular momentum unit

9.48252e+33reduced Planck constant (hbar)
1.50919e+33Planck constant (h)
10,000,000gram square centimeter per second (g·cm²/s)
10,000,000erg second (erg·s)
10,000kilogram square centimeter per second (kg·cm²/s)
23.7304pound square foot per second (lb·ft²/s)
1kilogram square meter per second (kg·m²/s)
1joule second (J·s)this unit
1newton meter second (N·m·s)
0.737562slug square foot per second (slug·ft²/s)
Solvers that use angular momentum