kilogram metre squared per second

SI coherent derived unit

Name	Symbol	Quantity	Base units
kilogram metre squared per second	kg m² s⁻¹	angular momentum	kg m² s⁻¹
The kilogram metre squared per second, symbol kg m² s⁻¹, is the SI coherent derived unit of angular momentum.
Definition			h
$1 \mspace{4mu} \text{kg} \mspace{4mu} \text{m}^2 \mspace{4mu} \text{s}^{-1} \mspace{6mu} = \dfrac{1}{6.626 \mspace{4mu} 070 \mspace{4mu} 15 \times 10^{-34}} \mspace{6mu} h\\ \\ \\ 1 \mspace{4mu} \text{kg} \mspace{4mu} \text{m}^2 \mspace{4mu} \text{s}^{-1} \mspace{6mu} \approx 1.509 \mspace{4mu} 190 \mspace{4mu} 179 \mspace{4mu} 642 \mspace{4mu} 151 \mspace{4mu} 842 \times10^{33} \mspace{6mu} h$

The kilogram metre squared per second, is equivalent to the units newton metre second, symbol N m s, and joule second, symbol J s.

$\text{kg} \ \text{m}^2 \ \text{s}^{-1} = \text{N} \ \text{m} \ \text{s} = \text{J} \ \text{s}$

The kilogram is defined by taking the fixed numerical value of the Planck constant h to be 6.626 070 15 × 10⁻³⁴ when expressed in the unit J s, which is equal to kg m² s⁻¹, where the metre and the second are defined in terms of c and Δν_Cs.

The effect of this definition is that the unit kilogram metre squared per second, symbol kg m² s⁻¹, can be defined directly in terms of the Planck constant h. Thus:

$h = 6.626\ 070\ 15 \times 10^{-34} \ \text{kg} \ \text{m}^2 \ \text{s}^{-1}\\ \\ \\ 1 \ \text{kg} \ \text{m}^2 \ \text{s}^{-1} = \dfrac{h}{6.626\ 070\ 15 \times 10^{-34}}$

Angular momentum

Angular momentum is the rotational equivalent of linear momentum. It is a conserved quantity – the total angular momentum of a closed system is constant.