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The joule-second also appears in quantum mechanics within the definition of the Planck constant. [2] Angular momentum is the product of an object's moment of inertia, in units of kg⋅m 2 and its angular velocity in units of rad⋅s −1. This product of moment of inertia and angular velocity yields kg⋅m 2 ⋅s −1 or the joule-second.
The joule (/ dʒ uː l / JOOL, or / dʒ aʊ l / JOWL; symbol: J) is the unit of energy in the International System of Units (SI). [1] It is equal to the amount of work done when a force of one newton displaces a mass through a distance of one metre in the direction of that force.
The SI has special names for 22 of these coherent derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m 2), the SI derived unit of area; and the kilogram per cubic metre (kg/m 3 or kg⋅m −3), the SI derived unit of density.
J = N m = kg m 2 s −2: M L 2 T −2: Potential energy: ... The mechanical work done by an external agent on a system is equal to the change in kinetic energy of the ...
newton meter squared per kilogram squared (N⋅m 2 /kg 2) shear modulus: pascal (Pa) or newton per square meter (N/m 2) acceleration due to gravity: meters per second squared (m/s 2), or equivalently, newtons per kilogram (N/kg) magnetic field strength: ampere per meter (A/m) Hamiltonian: joule (J)
A newton is defined as 1 kg⋅m/s 2 (it is a named derived unit defined in terms of the SI base units). [1]: 137 One newton is, therefore, the force needed to accelerate one kilogram of mass at the rate of one metre per second squared in the direction of the applied force.
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kg −1 ⋅m −2 ⋅s 2 ⋅A 2: P magnetic permeance: henry: H = Wb/A kg⋅m 2 ⋅s –2 ⋅A –2: L, M inductance: henry: H = Wb/A = V⋅s/A kg⋅m 2 ⋅s −2 ⋅A −2: μ permeability: henry per metre: H/m kg⋅m ⋅s −2 ⋅A −2: χ magnetic susceptibility (dimensionless) 1 1 m magnetic dipole moment: ampere square meter: A⋅m 2 = J ...