why we express the unit of torque in Nm.even though it can
be expressed as Joule ( J )?
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Answer Posted / nandakumar
Joule is the unit of energy. 1J= 1 Nm.
Energy = force * displacement ( N*m)
but Torque = force * radius (N*m) but there is no displacement.when we apply a torque on a body, if work is done the body will rotate.
then work done is calculated as torque*angular displacement
so the unit is N*m*radian(unit of angular displacement)
hence 1J=1 N*m*radian. the radian is an auxiliary unit and is always hidden when it is multiplied with metre.
so 1Nm torque is not equal to 1 J but 1Nm energy = 1J
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