The dimension of power is (energy / time)
= (force x distance) / time
= (mass x distance / time2) x distance / time
= mass x distance2 / time3
= ML2T-3
Constitutive dimension means the aspect of power that is allotted by the constitution of a government.
[p]=[wl-1]
Because the power, when used on units, expresses what dimension that unit is in. For shapes, the 3rd power represents the 3rd dimension, and the most well-known shape of that dimension is a cube (length * width * height = 3 dimensions).
The unit for power is joule per second, J/s.
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[ Power ] = [ Energy/Time ] = [ Force x Length/Time ] = [ Mass x Length2/T3 ]
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Driving Dimension: the geometry is controlled by the dimension. Driven Dimension: the dimension is controlled by the geometry.
If a number raised to the second power is squared and raised to the third power is cubed, I'm going to take a guess and say that a number raised to the fourth power is tesseracted.
it has no dimension
Efficiency is a ratio of the same quantities. Usually, output power / input power. As the numerator and denominator have the same quantities, the dimensions cancel each other out.