The newton metre (also newton-metre, symbol N m or N·m) is a unit of torque (also called "moment") in the SI system. One newton metre is equal to the torque resulting from a force of one newton applied perpendicularly to a moment arm which is one metre long.
It is also used less commonly as a unit of work, or energy, in which case it is equivalent to the more common and standard SI unit of energy, the joule. In this very different usage the metre term represents the distance travelled or displacement in the direction of the force, and not the perpendicular distance from a fulcrum as it does when used to express torque. This usage is generally discouraged, since it can lead to confusion as to whether a given quantity expressed in newton metres is a torque or a quantity of energy. However, since torque represents energy transferred or expended per angle of revolution, one newton metre of torque is equivalent to one joule per radian.
Newton metres and joules are dimensionally equivalent in the sense that they have the same expression in SI base units:
Again, N⋅m and J are distinguished in order to avoid misunderstandings where a torque is mistaken for an energy or vice versa. Similar examples of dimensionally equivalent units include Pa versus J/m³, Bq versus Hz, and ohm versus ohm per square.
- 1 kilogram-force metre = 9.80665 N·m
- 1 pound-force = 0.45359237 kilogram-force
- 1 newton metre ≈ 0.73756215 pound-force-feet (often "foot-pounds")
- 1 pound-foot (often "foot-pound") ≡ 1 pound-force-foot ≈ 1.35581795 N·m
- 1 ounce-inch (often "inch-ounce") ≡ 1 ounce-force-inch ≈ 7.06155181 mN·m(milliNewtons-metre)
- 1 dyne-centimetre = 10−7 N·m
- 1 joule = 1 N·m
- BIPM - unit symbols
- For example: Eshbach's handbook of engineering fundamentals - 10.4 Engineering Thermodynamics and Heat Transfer "In SI units the basic unit of energy is Newton-metre".
- Fundamentals of Physics, 9th edition by Halliday Resnick Ralker, p309. "The SI unit of torque is the newton-meter. In our discussion of energy we called this combination the joule. But torque is not work and torque should be expressed in newton-meters, not joules. google books link
- BIPM - special names
- Mechanical Engineering Formulas Pocket Guide, p6
- Concise encyclopedia of plastics, by Donald V. Rosato, Marlene G. Rosato, Dominick V. Rosato, p621