In gear mechanics, if gear A is driving gear B and gear B is removed, what will happen to the rotation of gear A?

When gear A is driving gear B, it means that the rotation of gear A is directly impacting the rotation of gear B through their interlocking teeth. If gear B is removed, there is no longer any load or resistance applied to gear A through gear B. As a result, gear A will continue to rotate freely without impediment. This is because the driving gear does not rely on the driven gear to maintain its rotation; instead, it solely depends on the energy input provided to it.

Since there is nothing to stop gear A from its motion, it will maintain its rotational momentum. The concept here is similar to a motor running without a load; it keeps turning until some external factor, such as power loss or mechanical failure, disrupts that motion. Consequently, gear A will not stall, slow down, or accelerate in a way tied to gear B’s removal, leading to the conclusion that it will continue to rotate unaffected.