Final answer:
The question involves calculating horsepower for a gearset but lacks relevant information for a direct calculation. Given parameters include module, pressure angle, and tooth counts which relate to gear design, not the provided unrelated example problems.
Step-by-step explanation:
The student's question concerns the calculation of the horsepower input for a gearset within a specified contact stress limit. However, the information provided in the question about the module, pressure angle, tooth counts of the pinion and gear, as well as the rotational speed of the pinion, is not directly applicable to the example problems listed (items 82, 120, and others). A precise answer would require using gear design equations involving the module, tooth counts, and contact stress to determine transmitted force and then power. However, these equations are not provided in the context of this question, indicating either a typo or missing information. For a gearset with the given parameters, one would typically calculate the tangential load using the contact stress and face width, then use this to find the transmitted power. But as vital data is missing or unrelated, we cannot confidently provide a calculation for the horsepower input without further correct details.