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Discover LudwigThe word "gearwheel" is correct and can be used in written English.
You can use it to refer to the wheel of a gear, as in, "The gearwheel rotated, powering the engine."
Dictionary
gearwheel
noun
Alternative spelling of gear wheel
Exact(2)
This consists of a crown wheel (i.e., a gearwheel shaped like a crown) driven by a weight and repeatedly checked by the action of a pair of metal pallets that alternately stop successive teeth.
Among hundreds of men wearing turbans and topees at Karachi's main train station, Muhammad Arshad stood out in his blue baseball cap with Rotary's bright yellow gearwheel.
Similar(1)
In the ninth century, the Banu Musa brothers, in Baghdad, published the "Book of Ingenious Devices," which detailed many geared mechanical contrivances, and the tenth-century philosopher and astronomer al-Biruni (973-1048) describes a Box of the Moon — a mechanical lunisolar calendar that used eight gearwheels.
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