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The torque available at maximum power developed by the tractor is 150 N m. If the reserve torque is 20%, the peak torque that can be developed by the tractor in N m is

  • A.100
  • B.120
  • C.180
  • D.210

Answer: C

The peak torque is 180 N m.

Torque reserve (torque backup) is the rise from the torque at rated (maximum) power to the peak torque, expressed as a percentage of the rated-power torque:

\[ \begin{aligned} \text{reserve} &= \frac{T_{peak} - T_{rated}}{T_{rated}} \\ 0.20 &= \frac{T_{peak} - 150}{150} \\ T_{peak} &= 150 \times 1.2 = 180\ \text{N m} \end{aligned} \]

120 is 150 reduced by 20% instead of increased; peak torque always exceeds the torque at maximum power, since torque rises as the engine is lugged down. 100 and 210 do not follow from a 20% reserve.

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