The left-hand side of this equation contains the inertia constant H, which quantifies the transient stability of a generator against frequency fluctuations. For 10 points each:
[10h] Name this second-order differential equation used to model synchronous generators which states that 2H over omega-sub-s times the second time-derivative of theta equals mechanical power.
ANSWER: swing equation
[10m] The swing equation is expressed in terms of either power or this other quantity that, for a motor, is plotted against RPM on a namesake curve. A car’s transmission is coupled to its engine by a “converter” of this quantity.
ANSWER: torque [accept torque curve; accept torque converter]
[10e] The swing equation is an application of the rotational version of this law, which states that torque equals moment of inertia times angular acceleration.
ANSWER: Newton’s second law of motion [prompt on Newton’s laws of motion or laws of motion; prompt on “F = ma”]
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