Final answer:
To determine the hourly production rate, calculate the total time for each cycle and include the time for tool change. Multiply the number of cycles by the uptime efficiencies of the robot and machine tool to find the effective production rate. The hourly production rate is approximately 75.712 cycles per hour.
Step-by-step explanation:
To determine the hourly production rate, we need to calculate the total time taken for each cycle and include the time for tool change as well. The total time for each cycle consists of the time taken for loading and unloading the part, the machining cycle time, and the time taken for the robot to move back to the pick-up position. Let's calculate:
Time for each cycle = 5.5 sec + 33.0 sec + 4.8 sec + 1.7 sec = 45 sec
Now, let's calculate the number of cycles per hour:
Number of cycles = 60 minutes / Time for each cycle = 60 minutes / (45 sec / 60) = 80 cycles
Since the uptime efficiency of the robot is 97% and the uptime efficiency of the machine tool is 98%, we need to multiply the number of cycles by the uptime efficiencies to find the effective production rate:
Effective production rate = Number of cycles × Robot uptime efficiency × Machine tool uptime efficiency = 80 cycles × 0.97 × 0.98 = 75.712 cycles
Therefore, the hourly production rate is approximately 75.712 cycles per hour.