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