Answer :
Final answer:
Calculating the maximum feed (f) on a lathe involves considering the mechanical efficiency of the motor and the set depth-of-cut, but specific calculations cannot be completed without additional information on material properties and cutting force equations.
Explanation:
The question is about calculating the maximum feed (f) that can be used on a lathe with a specific depth-of-cut (d) and powered by a 15-hp motor with 92% mechanical efficiency, without causing the lathe to stall. The spindle speed mentioned is 500rpm, and the task involves turning a high-strength cast-iron bar with a diameter of 6.5 inches.
To find the maximum feed, we need to first calculate the mechanical power available for cutting, considering the efficiency. This power (in hp) would be the product of motor power and its mechanical efficiency. The available power directly influences the material removal rate (MRR), defined as the product of the feed rate, cutting depth, and cutting speed. Since the depth-of-cut and spindle speed are given, we can rearrange the formula for MRR to solve for the feed, ensuring not to exceed the available mechanical power for cutting.
However, the specific calculations require detailed knowledge on the material's properties and cutting force equations, which were not provided in the question. Therefore, the exact value cannot be computed without additional information such as the specific cutting force coefficient for the cast iron being turned.
