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WHAT?! Need I say *magnitude* of the torque? I consider this statement to
be manifestly incorrect. I have heard some (old) teachers like to express
energy in foot pounds and torque in pound feet, but the dimensions are
certainly the same. I've heard the same thing said of temperatures
(degrees Celsius) and temperature changes (Celsius degrees), but those
dimensions are also the same.
Torque, work, heat, and energy all have the
same dimensions (M L^2 T^-2). They may be expressed in different units,
but that does not change the fact of their dimensionality.
Leigh