nm4\text{nm}^{4}

nanometer to the fourth

Area moment of inertiaexact by definition

The nanometre to the fourth is 10⁻³⁶ m⁴, exact by prefix. It appears in nanomechanics, where the bending stiffness of a nanotube, nanowire or DNA molecule is modelled as a beam and the second moment of area comes out in nm⁴.

Watch out: Beam theory at this scale is a model of convenience rather than a description of the material. Surface effects, discrete atomic structure and thermal fluctuation all matter, and a bending stiffness in nm⁴ times a modulus is an effective value fitted to experiment, not a geometric fact.

1 nm4\text{nm}^{4} 1.0000000e-24 mm4\text{mm}^{4}

One nanometer to the fourth in every area moment of inertia unit

1nanometer to the fourth (nm⁴)this unit
1.00000e-12micrometer to the fourth (μm⁴)
1.00000e-24millimeter to the fourth (mm⁴)
1.00000e-28centimeter to the fourth (cm⁴)
2.40251e-30inch to the fourth (in⁴)
1.15862e-34foot to the fourth (ft⁴)
1.00000e-36meter to the fourth (m⁴)
Cite this page

formula.expert. (n.d.). Nanometer to the fourth (nm⁴): definition & conversion. https://formula.expert/units/nanometer-to-the-fourth