Torque has the dimension force length(radius). The SI composite unit of torque is the newton meter(radius).

A torque is the product of a radial distance, for example, meter(radius), and a tangential force, that is, the component of the force vector tangent to the radial vector. Multiplying a unit of torque by a unit of planar angle results in a unit of energy (the energy required to rotate the body through the given angle).

$\mathrm{convert}\left('N''m\left(\mathrm{radius}\right)'\,'\mathrm{dimensions}'\,'\mathrm{base}'=\mathrm{true}\right)$

$\frac{\mathrm{length}\mathrm{length}\left(\mathrm{radius}\right)\mathrm{mass}}{{\mathrm{time}}^2}$

$\mathrm{convert}\left(1\,'\mathrm{units}'\,'N''m\left(\mathrm{radius}\right)'\,'\mathrm{lbf}''\mathrm{ft}\left(\mathrm{radius}\right)'\right)$

$\frac{2500000000000000}{3389544870828501}$

$\mathrm{convert}\left(1\,'\mathrm{units}'\,'N''m\left(\mathrm{radius}\right)'\,'\mathrm{lbf}''\mathrm{ft}'\right)$

$\frac{2500000000000000}{3389544870828501}$

$\mathrm{convert}\left(1\,'\mathrm{units}'\,'N''m\left(\mathrm{radius}\right)'\,'J'\right)$

$1$

$\mathrm{Units}\left[\mathrm{UseMode}\right]\left('\mathrm{standard}'\right)$

$\mathrm{simple}$

$\mathrm{convert}\left(1\,'\mathrm{units}'\,'N''m\left(\mathrm{radius}\right)'\,'\mathrm{lbf}''\mathrm{ft}'\right)$

Error, (in `convert/units`) unable to convert `N*m(radius)` to `lbf*ft`

$\mathrm{convert}\left(1\,'\mathrm{units}'\,'N''m\left(\mathrm{radius}\right)'\,'J'\right)$

Error, (in `convert/units`) unable to convert `N*m(radius)` to `J`

$\mathrm{convert}\left(1\,'\mathrm{units}'\,'N''m\left(\mathrm{radius}\right)'\,'J'\,'\mathrm{symbolic}'\right)$

$1$

$\mathrm{with}\left(\mathrm{Units}\left[\mathrm{Standard}\right]\right)\:$

To enter a unit in 2-D Math input, select the unit from the appropriate Units palette. If the unit you want is not there, select $\mathrm{unit}$ and then enter the unit.

When you edit a unit, double brackets appear around it.

$32.523\mathrm{Unit}\left('N''m\left(\mathrm{radius}\right)'\right)$

$32.523⟦Nm\left(\mathrm{radius}\right)⟧$

$\cdot 45\mathrm{Unit}\left('\mathrm{degrees}'\right)$

$25.54350447⟦J⟧$