Why does “torque” have 2 different units?












5















On various websites I see torque expressed as kgm but I was always taught torque is Nm or kgm^2/s^2. These are clearly not the same, so why are they called the same and when do I use one or the other?










share|cite|improve this question




















  • 7





    Don’t trust websites for introductory physics help. There’s a lot of crap and noise out there. The one you were always taught is perfectly right!

    – knzhou
    Jan 10 at 23:21











  • @knzhou I see this unit of torque kg/m , in the details of electric motors. They always give the torque of an electric motor in kg/m. Do they just call it "torque" but mean something else?

    – sparpo
    Jan 10 at 23:30











  • @knzhou Actually "kg/m" was probably just a mistake on this website, they probably meant kg*m.

    – sparpo
    Jan 10 at 23:37











  • It has any number of units, since there are any number of unit systems. In cgs it has unit $dyne cdot cm$. If you stick to a single unit system you cannot go wrong. My advise is mksi, so $Nm$.

    – my2cts
    Jan 10 at 23:40













  • @sparpo, kg is a unit of mass, and N is a unit of force. kg-m is NOT a unit of torque. This usage no doubt comes from the usage of ft-lb in the English system, but what most people don't realize is that there are pounds-force and pounds-mass, and the two units differ by a factor of 32.2.

    – David White
    Jan 10 at 23:54
















5















On various websites I see torque expressed as kgm but I was always taught torque is Nm or kgm^2/s^2. These are clearly not the same, so why are they called the same and when do I use one or the other?










share|cite|improve this question




















  • 7





    Don’t trust websites for introductory physics help. There’s a lot of crap and noise out there. The one you were always taught is perfectly right!

    – knzhou
    Jan 10 at 23:21











  • @knzhou I see this unit of torque kg/m , in the details of electric motors. They always give the torque of an electric motor in kg/m. Do they just call it "torque" but mean something else?

    – sparpo
    Jan 10 at 23:30











  • @knzhou Actually "kg/m" was probably just a mistake on this website, they probably meant kg*m.

    – sparpo
    Jan 10 at 23:37











  • It has any number of units, since there are any number of unit systems. In cgs it has unit $dyne cdot cm$. If you stick to a single unit system you cannot go wrong. My advise is mksi, so $Nm$.

    – my2cts
    Jan 10 at 23:40













  • @sparpo, kg is a unit of mass, and N is a unit of force. kg-m is NOT a unit of torque. This usage no doubt comes from the usage of ft-lb in the English system, but what most people don't realize is that there are pounds-force and pounds-mass, and the two units differ by a factor of 32.2.

    – David White
    Jan 10 at 23:54














5












5








5








On various websites I see torque expressed as kgm but I was always taught torque is Nm or kgm^2/s^2. These are clearly not the same, so why are they called the same and when do I use one or the other?










share|cite|improve this question
















On various websites I see torque expressed as kgm but I was always taught torque is Nm or kgm^2/s^2. These are clearly not the same, so why are they called the same and when do I use one or the other?







mass torque units dimensional-analysis weight






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 2 days ago









Qmechanic

102k121831165




102k121831165










asked Jan 10 at 23:17









sparposparpo

285




285








  • 7





    Don’t trust websites for introductory physics help. There’s a lot of crap and noise out there. The one you were always taught is perfectly right!

    – knzhou
    Jan 10 at 23:21











  • @knzhou I see this unit of torque kg/m , in the details of electric motors. They always give the torque of an electric motor in kg/m. Do they just call it "torque" but mean something else?

    – sparpo
    Jan 10 at 23:30











  • @knzhou Actually "kg/m" was probably just a mistake on this website, they probably meant kg*m.

    – sparpo
    Jan 10 at 23:37











  • It has any number of units, since there are any number of unit systems. In cgs it has unit $dyne cdot cm$. If you stick to a single unit system you cannot go wrong. My advise is mksi, so $Nm$.

    – my2cts
    Jan 10 at 23:40













  • @sparpo, kg is a unit of mass, and N is a unit of force. kg-m is NOT a unit of torque. This usage no doubt comes from the usage of ft-lb in the English system, but what most people don't realize is that there are pounds-force and pounds-mass, and the two units differ by a factor of 32.2.

    – David White
    Jan 10 at 23:54














  • 7





    Don’t trust websites for introductory physics help. There’s a lot of crap and noise out there. The one you were always taught is perfectly right!

    – knzhou
    Jan 10 at 23:21











  • @knzhou I see this unit of torque kg/m , in the details of electric motors. They always give the torque of an electric motor in kg/m. Do they just call it "torque" but mean something else?

    – sparpo
    Jan 10 at 23:30











  • @knzhou Actually "kg/m" was probably just a mistake on this website, they probably meant kg*m.

    – sparpo
    Jan 10 at 23:37











  • It has any number of units, since there are any number of unit systems. In cgs it has unit $dyne cdot cm$. If you stick to a single unit system you cannot go wrong. My advise is mksi, so $Nm$.

    – my2cts
    Jan 10 at 23:40













  • @sparpo, kg is a unit of mass, and N is a unit of force. kg-m is NOT a unit of torque. This usage no doubt comes from the usage of ft-lb in the English system, but what most people don't realize is that there are pounds-force and pounds-mass, and the two units differ by a factor of 32.2.

    – David White
    Jan 10 at 23:54








7




7





Don’t trust websites for introductory physics help. There’s a lot of crap and noise out there. The one you were always taught is perfectly right!

– knzhou
Jan 10 at 23:21





Don’t trust websites for introductory physics help. There’s a lot of crap and noise out there. The one you were always taught is perfectly right!

– knzhou
Jan 10 at 23:21













@knzhou I see this unit of torque kg/m , in the details of electric motors. They always give the torque of an electric motor in kg/m. Do they just call it "torque" but mean something else?

– sparpo
Jan 10 at 23:30





@knzhou I see this unit of torque kg/m , in the details of electric motors. They always give the torque of an electric motor in kg/m. Do they just call it "torque" but mean something else?

– sparpo
Jan 10 at 23:30













@knzhou Actually "kg/m" was probably just a mistake on this website, they probably meant kg*m.

– sparpo
Jan 10 at 23:37





@knzhou Actually "kg/m" was probably just a mistake on this website, they probably meant kg*m.

– sparpo
Jan 10 at 23:37













It has any number of units, since there are any number of unit systems. In cgs it has unit $dyne cdot cm$. If you stick to a single unit system you cannot go wrong. My advise is mksi, so $Nm$.

– my2cts
Jan 10 at 23:40







It has any number of units, since there are any number of unit systems. In cgs it has unit $dyne cdot cm$. If you stick to a single unit system you cannot go wrong. My advise is mksi, so $Nm$.

– my2cts
Jan 10 at 23:40















@sparpo, kg is a unit of mass, and N is a unit of force. kg-m is NOT a unit of torque. This usage no doubt comes from the usage of ft-lb in the English system, but what most people don't realize is that there are pounds-force and pounds-mass, and the two units differ by a factor of 32.2.

– David White
Jan 10 at 23:54





@sparpo, kg is a unit of mass, and N is a unit of force. kg-m is NOT a unit of torque. This usage no doubt comes from the usage of ft-lb in the English system, but what most people don't realize is that there are pounds-force and pounds-mass, and the two units differ by a factor of 32.2.

– David White
Jan 10 at 23:54










3 Answers
3






active

oldest

votes


















13














Those other sources were probably referring to kilogram-force instead of Newtons. Given the constant conversion between mass and weight on Earth (i.e., $g = 9.8,textrm{m/s}^2$), mass and weight units are often used interchangeably in non-scientific contexts. So, torque can be expressed in kgf-m, where 1 kgf is the weight of 1 kg on Earth's surface. Notice that this is a multiplication, not a division. Units of kgf/m would be completely incorrect.






share|cite|improve this answer





















  • 1





    Yes, and in particular it is strictly speaking wrong - though commonly done, and moreover this shows exactly why you shouldn't do it - to write the unit kgf as "kg".

    – The_Sympathizer
    2 days ago






  • 3





    @The_Sympathizer Nah, it's fine in the right context. As long as your audience understands, anything works. Though I do get more annoyed at particle physicists who set $c=1$. The equation $E^2 = m^2 + p^2$ makes me twitch due to the loss of units.

    – Mark H
    2 days ago






  • 1





    The problem is there are then two units with the same symbol and yet quite different meanings, and they are likely to be in rather close proximity with each other if not coming together. That's a recipe for confusion. Moreover when I say "wrong" I mean with regard to the standards that define the meaning of the symbol $mathrm{kg}$. That's why I said "strictly speaking", i.e. according to rigorous application of the standards.

    – The_Sympathizer
    2 days ago






  • 2





    And yes, you don't have to follow standards, but if your usages are not strongly set apart enough, you are creating a recipe for confusion with more standard usages. Especially if your non-standard usages blur together lines that should otherwise be there - e.g. force is not mass.

    – The_Sympathizer
    2 days ago






  • 1





    And with something like torque where mass enters in in a significant way, there is strong potential for contact between the two and that (depending on what kind of measurements you're given) may lead to improper unit arithmetic which is a mistake and definitely wrong by the rules of mathematics.

    – The_Sympathizer
    2 days ago



















6














The non SI unit is often written as 1 kg-m and is equal to 9.8 N m.



In such a case the 1 kg refers to the unit 1 kg force which is the weight of one kilogram.



Another unit is the Imperial (and US) unit the pound-foot which is equal to approximately 1.36 N m.

Here the unit of force is the pound force.






share|cite|improve this answer































    0














    Well I think both of the Units are right. But its not kgm it should be kgf-m.
    Torque means - - - > F×R. ..
    Hence it has units of Force times distance.



    N-m is one of the units where N is unit of Force and m is distance.. While in
    Kgf-m Kgf is unit of force and m is distance as Usual.






    share|cite|improve this answer








    New contributor




    Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.




















      Your Answer





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      3 Answers
      3






      active

      oldest

      votes








      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      13














      Those other sources were probably referring to kilogram-force instead of Newtons. Given the constant conversion between mass and weight on Earth (i.e., $g = 9.8,textrm{m/s}^2$), mass and weight units are often used interchangeably in non-scientific contexts. So, torque can be expressed in kgf-m, where 1 kgf is the weight of 1 kg on Earth's surface. Notice that this is a multiplication, not a division. Units of kgf/m would be completely incorrect.






      share|cite|improve this answer





















      • 1





        Yes, and in particular it is strictly speaking wrong - though commonly done, and moreover this shows exactly why you shouldn't do it - to write the unit kgf as "kg".

        – The_Sympathizer
        2 days ago






      • 3





        @The_Sympathizer Nah, it's fine in the right context. As long as your audience understands, anything works. Though I do get more annoyed at particle physicists who set $c=1$. The equation $E^2 = m^2 + p^2$ makes me twitch due to the loss of units.

        – Mark H
        2 days ago






      • 1





        The problem is there are then two units with the same symbol and yet quite different meanings, and they are likely to be in rather close proximity with each other if not coming together. That's a recipe for confusion. Moreover when I say "wrong" I mean with regard to the standards that define the meaning of the symbol $mathrm{kg}$. That's why I said "strictly speaking", i.e. according to rigorous application of the standards.

        – The_Sympathizer
        2 days ago






      • 2





        And yes, you don't have to follow standards, but if your usages are not strongly set apart enough, you are creating a recipe for confusion with more standard usages. Especially if your non-standard usages blur together lines that should otherwise be there - e.g. force is not mass.

        – The_Sympathizer
        2 days ago






      • 1





        And with something like torque where mass enters in in a significant way, there is strong potential for contact between the two and that (depending on what kind of measurements you're given) may lead to improper unit arithmetic which is a mistake and definitely wrong by the rules of mathematics.

        – The_Sympathizer
        2 days ago
















      13














      Those other sources were probably referring to kilogram-force instead of Newtons. Given the constant conversion between mass and weight on Earth (i.e., $g = 9.8,textrm{m/s}^2$), mass and weight units are often used interchangeably in non-scientific contexts. So, torque can be expressed in kgf-m, where 1 kgf is the weight of 1 kg on Earth's surface. Notice that this is a multiplication, not a division. Units of kgf/m would be completely incorrect.






      share|cite|improve this answer





















      • 1





        Yes, and in particular it is strictly speaking wrong - though commonly done, and moreover this shows exactly why you shouldn't do it - to write the unit kgf as "kg".

        – The_Sympathizer
        2 days ago






      • 3





        @The_Sympathizer Nah, it's fine in the right context. As long as your audience understands, anything works. Though I do get more annoyed at particle physicists who set $c=1$. The equation $E^2 = m^2 + p^2$ makes me twitch due to the loss of units.

        – Mark H
        2 days ago






      • 1





        The problem is there are then two units with the same symbol and yet quite different meanings, and they are likely to be in rather close proximity with each other if not coming together. That's a recipe for confusion. Moreover when I say "wrong" I mean with regard to the standards that define the meaning of the symbol $mathrm{kg}$. That's why I said "strictly speaking", i.e. according to rigorous application of the standards.

        – The_Sympathizer
        2 days ago






      • 2





        And yes, you don't have to follow standards, but if your usages are not strongly set apart enough, you are creating a recipe for confusion with more standard usages. Especially if your non-standard usages blur together lines that should otherwise be there - e.g. force is not mass.

        – The_Sympathizer
        2 days ago






      • 1





        And with something like torque where mass enters in in a significant way, there is strong potential for contact between the two and that (depending on what kind of measurements you're given) may lead to improper unit arithmetic which is a mistake and definitely wrong by the rules of mathematics.

        – The_Sympathizer
        2 days ago














      13












      13








      13







      Those other sources were probably referring to kilogram-force instead of Newtons. Given the constant conversion between mass and weight on Earth (i.e., $g = 9.8,textrm{m/s}^2$), mass and weight units are often used interchangeably in non-scientific contexts. So, torque can be expressed in kgf-m, where 1 kgf is the weight of 1 kg on Earth's surface. Notice that this is a multiplication, not a division. Units of kgf/m would be completely incorrect.






      share|cite|improve this answer















      Those other sources were probably referring to kilogram-force instead of Newtons. Given the constant conversion between mass and weight on Earth (i.e., $g = 9.8,textrm{m/s}^2$), mass and weight units are often used interchangeably in non-scientific contexts. So, torque can be expressed in kgf-m, where 1 kgf is the weight of 1 kg on Earth's surface. Notice that this is a multiplication, not a division. Units of kgf/m would be completely incorrect.







      share|cite|improve this answer














      share|cite|improve this answer



      share|cite|improve this answer








      edited 2 days ago

























      answered Jan 10 at 23:28









      Mark HMark H

      12.2k22441




      12.2k22441








      • 1





        Yes, and in particular it is strictly speaking wrong - though commonly done, and moreover this shows exactly why you shouldn't do it - to write the unit kgf as "kg".

        – The_Sympathizer
        2 days ago






      • 3





        @The_Sympathizer Nah, it's fine in the right context. As long as your audience understands, anything works. Though I do get more annoyed at particle physicists who set $c=1$. The equation $E^2 = m^2 + p^2$ makes me twitch due to the loss of units.

        – Mark H
        2 days ago






      • 1





        The problem is there are then two units with the same symbol and yet quite different meanings, and they are likely to be in rather close proximity with each other if not coming together. That's a recipe for confusion. Moreover when I say "wrong" I mean with regard to the standards that define the meaning of the symbol $mathrm{kg}$. That's why I said "strictly speaking", i.e. according to rigorous application of the standards.

        – The_Sympathizer
        2 days ago






      • 2





        And yes, you don't have to follow standards, but if your usages are not strongly set apart enough, you are creating a recipe for confusion with more standard usages. Especially if your non-standard usages blur together lines that should otherwise be there - e.g. force is not mass.

        – The_Sympathizer
        2 days ago






      • 1





        And with something like torque where mass enters in in a significant way, there is strong potential for contact between the two and that (depending on what kind of measurements you're given) may lead to improper unit arithmetic which is a mistake and definitely wrong by the rules of mathematics.

        – The_Sympathizer
        2 days ago














      • 1





        Yes, and in particular it is strictly speaking wrong - though commonly done, and moreover this shows exactly why you shouldn't do it - to write the unit kgf as "kg".

        – The_Sympathizer
        2 days ago






      • 3





        @The_Sympathizer Nah, it's fine in the right context. As long as your audience understands, anything works. Though I do get more annoyed at particle physicists who set $c=1$. The equation $E^2 = m^2 + p^2$ makes me twitch due to the loss of units.

        – Mark H
        2 days ago






      • 1





        The problem is there are then two units with the same symbol and yet quite different meanings, and they are likely to be in rather close proximity with each other if not coming together. That's a recipe for confusion. Moreover when I say "wrong" I mean with regard to the standards that define the meaning of the symbol $mathrm{kg}$. That's why I said "strictly speaking", i.e. according to rigorous application of the standards.

        – The_Sympathizer
        2 days ago






      • 2





        And yes, you don't have to follow standards, but if your usages are not strongly set apart enough, you are creating a recipe for confusion with more standard usages. Especially if your non-standard usages blur together lines that should otherwise be there - e.g. force is not mass.

        – The_Sympathizer
        2 days ago






      • 1





        And with something like torque where mass enters in in a significant way, there is strong potential for contact between the two and that (depending on what kind of measurements you're given) may lead to improper unit arithmetic which is a mistake and definitely wrong by the rules of mathematics.

        – The_Sympathizer
        2 days ago








      1




      1





      Yes, and in particular it is strictly speaking wrong - though commonly done, and moreover this shows exactly why you shouldn't do it - to write the unit kgf as "kg".

      – The_Sympathizer
      2 days ago





      Yes, and in particular it is strictly speaking wrong - though commonly done, and moreover this shows exactly why you shouldn't do it - to write the unit kgf as "kg".

      – The_Sympathizer
      2 days ago




      3




      3





      @The_Sympathizer Nah, it's fine in the right context. As long as your audience understands, anything works. Though I do get more annoyed at particle physicists who set $c=1$. The equation $E^2 = m^2 + p^2$ makes me twitch due to the loss of units.

      – Mark H
      2 days ago





      @The_Sympathizer Nah, it's fine in the right context. As long as your audience understands, anything works. Though I do get more annoyed at particle physicists who set $c=1$. The equation $E^2 = m^2 + p^2$ makes me twitch due to the loss of units.

      – Mark H
      2 days ago




      1




      1





      The problem is there are then two units with the same symbol and yet quite different meanings, and they are likely to be in rather close proximity with each other if not coming together. That's a recipe for confusion. Moreover when I say "wrong" I mean with regard to the standards that define the meaning of the symbol $mathrm{kg}$. That's why I said "strictly speaking", i.e. according to rigorous application of the standards.

      – The_Sympathizer
      2 days ago





      The problem is there are then two units with the same symbol and yet quite different meanings, and they are likely to be in rather close proximity with each other if not coming together. That's a recipe for confusion. Moreover when I say "wrong" I mean with regard to the standards that define the meaning of the symbol $mathrm{kg}$. That's why I said "strictly speaking", i.e. according to rigorous application of the standards.

      – The_Sympathizer
      2 days ago




      2




      2





      And yes, you don't have to follow standards, but if your usages are not strongly set apart enough, you are creating a recipe for confusion with more standard usages. Especially if your non-standard usages blur together lines that should otherwise be there - e.g. force is not mass.

      – The_Sympathizer
      2 days ago





      And yes, you don't have to follow standards, but if your usages are not strongly set apart enough, you are creating a recipe for confusion with more standard usages. Especially if your non-standard usages blur together lines that should otherwise be there - e.g. force is not mass.

      – The_Sympathizer
      2 days ago




      1




      1





      And with something like torque where mass enters in in a significant way, there is strong potential for contact between the two and that (depending on what kind of measurements you're given) may lead to improper unit arithmetic which is a mistake and definitely wrong by the rules of mathematics.

      – The_Sympathizer
      2 days ago





      And with something like torque where mass enters in in a significant way, there is strong potential for contact between the two and that (depending on what kind of measurements you're given) may lead to improper unit arithmetic which is a mistake and definitely wrong by the rules of mathematics.

      – The_Sympathizer
      2 days ago











      6














      The non SI unit is often written as 1 kg-m and is equal to 9.8 N m.



      In such a case the 1 kg refers to the unit 1 kg force which is the weight of one kilogram.



      Another unit is the Imperial (and US) unit the pound-foot which is equal to approximately 1.36 N m.

      Here the unit of force is the pound force.






      share|cite|improve this answer




























        6














        The non SI unit is often written as 1 kg-m and is equal to 9.8 N m.



        In such a case the 1 kg refers to the unit 1 kg force which is the weight of one kilogram.



        Another unit is the Imperial (and US) unit the pound-foot which is equal to approximately 1.36 N m.

        Here the unit of force is the pound force.






        share|cite|improve this answer


























          6












          6








          6







          The non SI unit is often written as 1 kg-m and is equal to 9.8 N m.



          In such a case the 1 kg refers to the unit 1 kg force which is the weight of one kilogram.



          Another unit is the Imperial (and US) unit the pound-foot which is equal to approximately 1.36 N m.

          Here the unit of force is the pound force.






          share|cite|improve this answer













          The non SI unit is often written as 1 kg-m and is equal to 9.8 N m.



          In such a case the 1 kg refers to the unit 1 kg force which is the weight of one kilogram.



          Another unit is the Imperial (and US) unit the pound-foot which is equal to approximately 1.36 N m.

          Here the unit of force is the pound force.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 10 at 23:31









          FarcherFarcher

          48k33796




          48k33796























              0














              Well I think both of the Units are right. But its not kgm it should be kgf-m.
              Torque means - - - > F×R. ..
              Hence it has units of Force times distance.



              N-m is one of the units where N is unit of Force and m is distance.. While in
              Kgf-m Kgf is unit of force and m is distance as Usual.






              share|cite|improve this answer








              New contributor




              Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
              Check out our Code of Conduct.

























                0














                Well I think both of the Units are right. But its not kgm it should be kgf-m.
                Torque means - - - > F×R. ..
                Hence it has units of Force times distance.



                N-m is one of the units where N is unit of Force and m is distance.. While in
                Kgf-m Kgf is unit of force and m is distance as Usual.






                share|cite|improve this answer








                New contributor




                Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                Check out our Code of Conduct.























                  0












                  0








                  0







                  Well I think both of the Units are right. But its not kgm it should be kgf-m.
                  Torque means - - - > F×R. ..
                  Hence it has units of Force times distance.



                  N-m is one of the units where N is unit of Force and m is distance.. While in
                  Kgf-m Kgf is unit of force and m is distance as Usual.






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                  Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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                  Well I think both of the Units are right. But its not kgm it should be kgf-m.
                  Torque means - - - > F×R. ..
                  Hence it has units of Force times distance.



                  N-m is one of the units where N is unit of Force and m is distance.. While in
                  Kgf-m Kgf is unit of force and m is distance as Usual.







                  share|cite|improve this answer








                  New contributor




                  Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.









                  share|cite|improve this answer



                  share|cite|improve this answer






                  New contributor




                  Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.









                  answered 2 days ago









                  Anubhav Srivastava- WASAYANSIAnubhav Srivastava- WASAYANSI

                  325




                  325




                  New contributor




                  Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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                  New contributor





                  Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
                  Check out our Code of Conduct.






                  Anubhav Srivastava- WASAYANSI is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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