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Newton-metre

The newton-metre or newton-meter (also non-hyphenated, newton metre or newton meter; symbol N⋅m[1] or N m[1])[a] is the unit of torque (also called moment) in the International System of Units (SI). One newton-metre is equal to the torque resulting from a force of one newton applied perpendicularly to the end of a moment arm that is one metre long.

Newton-metre
One newton-metre is the torque resulting from a force of one newton applied perpendicularly to the end of a moment arm that is one metre long.
General information
Unit systemSI
Unit oftorque
SymbolN⋅m, N m
Conversions
1 N⋅m in ...... is equal to ...
   FPS system   0.73756215 lbf.ft
   inch⋅pound-force   8.8507 in lbf
   inch⋅ounce-force   141.6 in oz

The unit 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.[2] In this 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,[3] since it can lead to confusion as to whether a given quantity expressed in newton-metres is a torque or a quantity of energy.[4] However, since torque represents energy transferred or expended per angle of revolution, one newton-metre of torque is equivalent to one joule per radian.[4]

Newton-metres and joules are dimensionally equivalent in the sense that they have the same expression in SI base units,

but are distinguished in terms of applicable kind of quantity, to avoid misunderstandings when 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.

Conversion factors edit

See also edit

Notes edit

  1. ^ The nonstandard notation "Nm" occurs in some fields.

References edit

  1. ^ a b BIPM – unit symbols
  2. ^ 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".
  3. ^ Fundamentals of Physics, 9th edition by Halliday Resnick Ralker, p. 309. "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
  4. ^ a b BIPM - special names
  5. ^ Mechanical Engineering Formulas Pocket Guide, p6
  6. ^ Concise encyclopedia of plastics, by Donald V. Rosato, Marlene G. Rosato, Dominick V. Rosato, p621

newton, metre, instrument, that, measures, forces, newtons, spring, scale, newton, metre, newton, meter, also, hyphenated, newton, metre, newton, meter, symbol, unit, torque, also, called, moment, international, system, units, newton, metre, equal, torque, res. For the instrument that measures forces in newtons see Spring scale The newton metre or newton meter also non hyphenated newton metre or newton meter symbol N m 1 or N m 1 a is the unit of torque also called moment in the International System of Units SI One newton metre is equal to the torque resulting from a force of one newton applied perpendicularly to the end of a moment arm that is one metre long Newton metreOne newton metre is the torque resulting from a force of one newton applied perpendicularly to the end of a moment arm that is one metre long General informationUnit systemSIUnit oftorqueSymbolN m N mConversions1 N m in is equal to FPS system 0 73756215 lbf ft inch pound force 8 8507 in lbf inch ounce force 141 6 in ozThe unit 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 2 In this 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 3 since it can lead to confusion as to whether a given quantity expressed in newton metres is a torque or a quantity of energy 4 However since torque represents energy transferred or expended per angle of revolution one newton metre of torque is equivalent to one joule per radian 4 Newton metres and joules are dimensionally equivalent in the sense that they have the same expression in SI base units 1N m 1kg m2s2 1J 1kg m2s2 displaystyle 1 text N cdot mathrm m 1 frac text kg cdot text m 2 text s 2 quad quad 1 mathrm J 1 frac mathrm kg cdot mathrm m 2 mathrm s 2 dd but are distinguished in terms of applicable kind of quantity to avoid misunderstandings when 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 Contents 1 Conversion factors 2 See also 3 Notes 4 ReferencesConversion factors edit1 kilogram force metre 9 80665 N m 5 6 1 newton metre 0 73756215 pound force feet 1 pound foot 1 pound force foot 1 35581795 N m 1 ounce inch 1 ounce force inch 7 06155181 mN m millinewton metres 1 dyne centimetre 10 7 N mSee also editBending moment Spring scale Torque tester Newton second the derived SI unit of impulseNotes edit The nonstandard notation Nm occurs in some fields References edit a b 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 p 309 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 a b BIPM special names Mechanical Engineering Formulas Pocket Guide p6 Concise encyclopedia of plastics by Donald V Rosato Marlene G Rosato Dominick V Rosato p621 Retrieved from https en wikipedia org w index php title Newton metre amp oldid 1186263736, wikipedia, wiki, book, books, library,

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