Question

Dimensionally this is equal to work – a) Force, b) torque, c)Power, d)Velocity.

Answer 1

Torque  is Dimensionally  equal to work

Explanation:

Wok done = Force * displacement

Force = Mass * acceleration

=  Mass * Velocity / time

= Mass * ( displacement / time) / time

=  Mass *   displacement / time ²

= M L T⁻²

Wok done = Force * displacement

=  M L T⁻² * L

=  ML²T⁻²

Torque  = Force * distance

M L T⁻²  * L

= ML²T⁻²

Power = Wok done / time

= ML²T⁻² /T

=  ML²T⁻³

Velocity​ = Displacement / time

=  L T⁻¹

Hence       torque has same dimension as work  ML²T⁻²

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