A person designs a digital circuit to control a motor's speed.
The motor runs at 60 RPM (Revolutions Per Minute) when moving forward and at 40 RPM when reversing.
The motor operates forward for a distance and then reverses the same distance.
How would you calculate the average RPM of the motor for the entire trip?
Scroll down for the answer:
Answer:
To calculate the average RPM of the motor for the entire trip, we need to consider the total revolutions and the total time taken for the entire operation.
Let the distance covered by the motor in one direction be d.
When moving forward:
Speed = 60 RPM
Time taken = d / 60 (minutes)
When reversing:
Speed = 40 RPM
Time taken = d / 40 (minutes)
Total distance traveled: 2d
Total time taken:
Time taken to move forward = d / 60
Time taken to move backward = d / 40
Total time=(d60)+(d40)
Total time=2d/120=d/30 minutes
Average speed (RPM):
Average speed = Total distance/Total time
Average speed=2d/(5d/120)=(2d×120)/5d=240/5=48 RPM
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