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The time taken for a drive to change speed is obtained by

  • A.multiplying the inertia by the change in speed and dividing by the load torque
  • B.dividing the inertia by the difference between the two torques concerned
  • C.integrating \( J\,d\omega/(T - T_l) \) between the two speeds
  • D.dividing the change in speed by the motor torque at the initial speed

Answer: C

Rearranging the torque equation gives \( dt = J\,d\omega/(T - T_l) \), and integrating it accounts for the way both torques vary with speed. Only when the difference is constant does the integral reduce to a simple division.

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