I've just gone through the exercise of converting a dwell time on a conveyor to an effective motor speed to achieve that dwell time. During this process, I realised that the relationship is a "to the power of" equation, not linear. My calculation is working, with the formula y=ax^b, where y=motor speed, x=dwell time, and a & b are constants (b = -1). But everything in my brain keeps insisting that the relationship should be linear.
Even working it out theoretically give me the same result. Assume that a motor speed of 10Hz yields a dwell time of 60 minutes. If you double the speed of the conveyor, the dwell time must halve. So, 10Hz=60min, 20Hz=30min, 40Hz=15min, 80Hz=7.5min, 160Hz=3.75min. If you put those values into excel and plot them, then draw a line of best fit, it's a power-of relationship clear as day.
But I don't understand why. Any math geeks out there that can help explain it to me in a way that I understand?
Even working it out theoretically give me the same result. Assume that a motor speed of 10Hz yields a dwell time of 60 minutes. If you double the speed of the conveyor, the dwell time must halve. So, 10Hz=60min, 20Hz=30min, 40Hz=15min, 80Hz=7.5min, 160Hz=3.75min. If you put those values into excel and plot them, then draw a line of best fit, it's a power-of relationship clear as day.
But I don't understand why. Any math geeks out there that can help explain it to me in a way that I understand?
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