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Theory of Machines Miscellaneous

  1. The following are the data for two crossed helical gears used for speed reduction:
    Gear I: Pitch circle diameter in the plane of rotation 80 mm and helix angle 30°
    Gear II: Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5°
    If the input speed is 1440 rpm, the output speed in rpm is
    1. 1200
    2. 900
    3. 875
    4. 720
Correct Option: B

For helical gears

Velocity ratio =
d1 cosφ
d1 cosφ

=
80 cos30°
=
N2
120 cos22.5°N1

∴ N2 = 1440 × 0.625 = 900 rpm



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