Discussion
When the accelerating torque of a drive is constant, the run-up time from rest to speed \( \omega \) is
Answer: D
Correct answer: \( J\omega/(T - T_l) \)
With the accelerating torque constant, the acceleration is constant and the equation integrates directly:
\[ t = \frac{J\omega}{T - T_l} \]Run-up time therefore rises with inertia and falls with the torque margin available. A large inertia with a small margin gives the very long start that is characteristic of fans and centrifuges.
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