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  2. Epicyclic gearing - Wikipedia

    en.wikipedia.org/wiki/Epicyclic_gearing

    Thus, the angular velocity of the carrier of a spur gear differential is the average of the angular velocities of the sun and ring gears. In discussing the spur gear differential, the use of the term ring gear is a convenient way to distinguish the sun gears of the two epicyclic gear trains. Ring gears are normally fixed in most applications as ...

  3. Differential (mechanical device) - Wikipedia

    en.wikipedia.org/wiki/Differential_(mechanical...

    Two of the differential's three shafts are made to rotate through angles that represent (are proportional to) two numbers, and the angle of the third shaft's rotation represents the sum or difference of the two input numbers. The earliest known use of a differential gear is in the Antikythera mechanism, c. 80 BCE, which used a differential gear ...

  4. Hypoid gearboxes - Wikipedia

    en.wikipedia.org/wiki/Hypoid_gearboxes

    Hypoid gear sets have long been used in the differential of rear-wheel drive cars, trucks and robotic arms.The scope of misalignment between the centers of the two interlinking shafts permits utilization of larger sized gears which enhances the contact surface area and reduces the wear and tear on the gear hence extending the life and power transmission capabilities of the gearboxes.

  5. Power rule - Wikipedia

    en.wikipedia.org/wiki/Power_rule

    The power rule for differentiation was derived by Isaac Newton and Gottfried Wilhelm Leibniz, each independently, for rational power functions in the mid 17th century, who both then used it to derive the power rule for integrals as the inverse operation. This mirrors the conventional way the related theorems are presented in modern basic ...

  6. Strain wave gearing - Wikipedia

    en.wikipedia.org/wiki/Strain_Wave_Gearing

    [2] High gear reduction ratios are possible in a small volume (a ratio from 30:1 up to 320:1 is possible in the same space in which planetary gears typically only produce a 10:1 ratio). Disadvantages include a tendency for 'wind-up' (a torsional spring rate) in the low torque region. Strain wave gearing is commonly used in robotics [3] and ...

  7. Gear train - Wikipedia

    en.wikipedia.org/wiki/Gear_train

    A gear train or gear set is a machine element of a mechanical system formed by mounting two or more gears on a frame such that the teeth of the gears engage.. Gear teeth are designed to ensure the pitch circles of engaging gears roll on each other without slipping, providing a smooth transmission of rotation from one gear to the next. [2]

  8. Bevel gear - Wikipedia

    en.wikipedia.org/wiki/Bevel_gear

    Bevel gears are used in differential drives, which can transmit power to two axles spinning at different speeds, such as those on a cornering automobile. Bevel gears are used as the main mechanism for a hand drill. As the handle of the drill is turned in a vertical direction, the bevel gears change the rotation of the chuck to a horizontal ...

  9. List of gear nomenclature - Wikipedia

    en.wikipedia.org/wiki/List_of_gear_nomenclature

    The module is the measure of gear tooth size which is normally used for metric system gears. It is similar to the Diametral Pitch (DP), which is commonly used for UK system (inch measure) gears but they differ in the units used and in that they bear a reciprocal relationship. Module is the pitch circle diameter divided by the number of teeth.