Final answer:
In gear drive systems, the appropriate amount of backlash is determined by the 'diametral pitch' of the gears. When more torque is applied to a gear, the angular velocity of the meshed gear will typically increase if there is no slippage. The rotational analog of distance is the rotational angle.
Step-by-step explanation:
In gear drive systems, the appropriate amount of backlash is typically determined by the diametral pitch of the gears, which can be found in specified tables designed for this purpose. The correct option to fill in the blank in the given question is A) Diametral, as the diametral pitch pertains specifically to the size and spacing of gear teeth, which are critically important for determining the necessary backlash in a gear system.
Further Explanation:
Backlash is the intentional extra space between gear teeth to allow for lubrication, thermal expansion, and manufacturing errors. This space ensures that gears do not bind up and fail due to overly tight meshing. It isn't mentioned outright in engineering problems, but the concept of backlash is critical for the proper operation of gearing systems.
Addressing the additional questions provided:
- When more force is applied to gear A, causing it to exert more torque on gear B, the angular velocity of gear B will increase in magnitude assuming the gears are not slipping and there's no significant increase in friction.
- The rotational analog of distance is rotational angle, as it measures the extent of rotation just as linear distance measures the extent of linear travel.