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The dimensional formula of $\Delta Q$, the heat supplied to a system, is:
Heat is a form of energy. Therefore its dimensional formula is the same as that of energy (work).
$[\Delta Q] = [W] = [Fd] = MLT^{-2} \cdot L = ML^2T^{-2}$
A synchronous generator with inertia constant $H = 5\,\text{MJ/MVA}$ is rated at $100\,\text{MVA}$. The angular momentum coefficient $M = GH/(\pi f_s)$ used in the swing equation (at $50\,\text{Hz}$) is approximately:
Stored kinetic energy $= H\times S_{rated} = 5\times100 = 500\,\text{MJ}$. Swing equation inertia: $M = \frac{GH}{\pi f_s} = \frac{100\times5}{\pi\times50} = \frac{500}{157.08} \approx 3.18\,\text{MJ·s/rad}$.
Induced emf in 1m copper rod moving at 20 m/s perpendicular to 0.6 T field:
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