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The following are the data for the two crossed helical gears used for speed reduction:

Gear I: Pitch circle diameter in the plane of rotation $80$ mm and helix angle $30^{\circ}$

Gear II: Pitch circle diameter in the plane of rotation $120$ mm and helix angle $22.5^{\circ}$

If the input speed is $1440$ rpm, the output speed in rpm is

  1. $1200$
  2. $900$
  3. $875$
  4. $720$
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