Both work and torque are obtained by multiplying a force with a displacement

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Both work and torque are obtained by multiplying a force with a displacement, yet they are treated differently in the SI system. (a) Derive the dimensional formula and express in SI base units the unit used for measuring mechanical work. State its special name and symbol. (b) Derive the dimensional formula and express in SI base units the unit used for measuring torque (moment of force). Write its usual way of writing in terms of named SI derived units. (c) Explain, with suitable reasoning, why the same special name is not assigned to the unit of torque even though its dimensional formula is identical to that of work.

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