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Newton metre

 

 
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Newton metre
 
 
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Newton metre is a unit of torque
Torque

Torque is the tendency of a force to rotate an object about an axis . Just as a force is a push or a pull, a torque can be thought of as a twist....
 (also called "moment") in the SI
Si

Si, si, or SI may refer to :...
 system. The symbolic form is N m or N·m, and sometimes hyphenated newton-metre. One newton metre is equal to the torque resulting from a force
Force

In physics, a force is that which can cause an object with mass to change its velocity. Force has both Euclidean_vector#Length of a vector and Direction , making it a Vector quantity....
 of one newton
Newton

The newton is the International System of Units SI derived unit of force, named after Isaac Newton in recognition of his work on classical mechanics....
 applied perpendicularly to a moment arm which is one metre long.

A newton metre is dimensionally equal to a joule
Joule

The joule is the SI derived unit of energy in the International System of Units. It is defined as:One joule is the amount of energy required to perform the following actions:...
, the SI
Si

Si, si, or SI may refer to :...
 unit of energy and work.






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Newton metre is a unit of torque
Torque

Torque is the tendency of a force to rotate an object about an axis . Just as a force is a push or a pull, a torque can be thought of as a twist....
 (also called "moment") in the SI
Si

Si, si, or SI may refer to :...
 system. The symbolic form is N m or N·m, and sometimes hyphenated newton-metre. One newton metre is equal to the torque resulting from a force
Force

In physics, a force is that which can cause an object with mass to change its velocity. Force has both Euclidean_vector#Length of a vector and Direction , making it a Vector quantity....
 of one newton
Newton

The newton is the International System of Units SI derived unit of force, named after Isaac Newton in recognition of his work on classical mechanics....
 applied perpendicularly to a moment arm which is one metre long.

A newton metre is dimensionally equal to a joule
Joule

The joule is the SI derived unit of energy in the International System of Units. It is defined as:One joule is the amount of energy required to perform the following actions:...
, the SI
Si

Si, si, or SI may refer to :...
 unit of energy and work. However, it is not appropriate to express a torque in joules — the units are necessary to distinguish a torque quantity from an energy quantity. The two quantities, torque and energy, are physically different despite being dimensionally equivalent. For example, energy is a scalar
Scalar

A scalar is a variable that only has magnitude , e.g. a speed of 40 km/h. Compare it with vector, a quantity comprising both magnitude and Direction , e.g....
 while torque is a vector
Vector

Vector may refer to:...
 (in fact, a pseudovector
Pseudovector

In physics and mathematics, a pseudovector is a quantity that transforms like a vector under a proper Rotation , i.e. a transformation that rotates vectors and pseudovectors by an arbitrary angle about an arbitrary axis, but gains an additional sign flip under an improper rotation: a transformation that can be expressed as a proper rotation...
). Also, a given force applied to an object can contribute torque but not work, or work but not torque, or both, or neither.

On the other hand, there are relations between torque and energy that sheds light on their dimensional relationship. In particular, a torque can contribute to rotational energy
Rotational energy

The rotational energy or angular kinetic energy is the kinetic energy due to the rotation of an object and is part of its Kinetic energy#Rotation in systems....
; the work done in this process (measured in J) is equal to the torque (measured in N m) times the angle through which the body rotates in the direction of the torque. This accounts for the use of an alternative unit for torque, Joule per radian
Radian

The radian is a unit of plane angle, equal to 180/pi Degree , or about 57.2958 degrees, or about 57?17'45?. It is the standard unit of angular measurement in all areas of mathematics beyond the elementary level....
 (J/rad)

Conversion factors

  • 1 joule = 1 N·m
  • 1 newton metre = 0.7375621 foot-pound force
    Foot-pound force

    The foot-pound force, or simply foot-pound is a unit of Mechanical work or energy and also a unit of torque ....
     (often "foot-pound")
  • 1 metre kilogram-force
    Kilogram-force

    The unit kilogram-force or kilopond is defined as the magnitude of the force exerted on one kilogram of mass by a gravitational field ....
     = 9.80665 N·m
  • 1 centimetre kilogram-force = 98.0665 mN·m
  • 1 foot-pound force
    Foot-pound force

    The foot-pound force, or simply foot-pound is a unit of Mechanical work or energy and also a unit of torque ....
     (often "foot-pounds") = 1 pound-force
    Pound-force

    The pound-force or simply pound is a Units of measurement of force....
     foot (often "pound-feet") ˜ 1.3558 N·m
  • 1 inch ounce-force = 7.0615518 mN·m
  • 1 dyne
    Dyne

    In physics, the dyne is a Units of measurement of Force specified in the Centimetre gram second system of units system of units, a predecessor of the modern International System of Units....
     centimetre = 10-7 N·m


See also

  • Foot-pound force
    Foot-pound force

    The foot-pound force, or simply foot-pound is a unit of Mechanical work or energy and also a unit of torque ....
  • Spring scale
    Spring scale

    A spring scale is a weighing scale used to measure force, such as the force of gravity, exerted on a mass or the force of a person's grip or the force exerted by a towing vehicle....
  • Torque
    Torque

    Torque is the tendency of a force to rotate an object about an axis . Just as a force is a push or a pull, a torque can be thought of as a twist....