Final answer:
The student's question involves calculations for a gear's pitch diameter, module, addendum, and diametral pitch given a gear ratio of 5:1, a pinion with 18 teeth, and a center distance of 12 inches. However, additional information is needed to provide the exact calculations, as the question does not contain all necessary data.
Step-by-step explanation:
The student is asking for several calculations related to a meshing spur pinion and gear pair, specifically the gear's pitch diameter, module, addendum, and diametral pitch. The gear ratio is 5:1, and the number of teeth on the pinion is 18. To solve for these parameters, the following formulas can be used:
- Pitch Diameter (D): It is the diameter of the pitch circle, and for a gear pair, the sum of their pitch diameters equals twice the center distance when gear ratio is known.
- Module (m): It is a measure of the size of the teeth of gears and is linked to the pitch diameter and number of teeth as m = D/N, where N is the number of teeth.
- Addendum (a): This is the radial distance between the pitch circle and the top of the teeth, and is normally equal to one module, a = m.
- Diametral Pitch (P): It is the ratio of the number of teeth to the pitch diameter, P = N/D.
However, as the student has not provided enough information to calculate these values directly, we cannot compute the results for a) Pitch diameter of the gear b) Module of the gear c) Addendum of the gear d) Diametral pitch of the gear without additional data such as the pitch diameter or module of the pinion.