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A drive has an inertia of 10 kg·m², a motor torque of 60 N·m and a load torque of 20 N·m. Its angular acceleration is

  • A.6 rad/s²
  • B.0.25 rad/s²
  • C.4 rad/s²
  • D.8 rad/s²

Answer: C

Correct answer: 4 rad/s²

From the torque equation,

\[ \frac{d\omega}{dt} = \frac{T - T_l}{J} = \frac{60 - 20}{10} = 4 \ \mathrm{rad/s^2} \]

The 6 rad/s squared answer uses the motor torque alone and forgets that the load torque must be overcome before anything is left to accelerate the inertia.

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