HP Required to move a robot 10meters at 1.5m/sec

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Jeremy Sawatzky
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TL;DR Summary
I need to move a 4000lb robot along linear rails. I have my time constraints but I dont have my gearmotor selected
I need some assistance with calculating hp requirements for moving a load. - The 4000lb load is resting on ball bearing rails so friction is effectively zero and will be covered by my added power contingencies.

Load: 4000lbs
Distance to travel: 10 meters.
Time to Travel: 7.5 seconds
Need to accelerate the load from a stop to a nominal speed then decelerate coming to a stop.

My power delivery method will be a gearmotor driving a gear rack. - I suspect the pinion gear to be about 3-4in in diameter. So the gearmotor will need to run around 300rpm.

From experience, I would ballpark the hp requirement to be 4-5hp. but I would like the math to back it up.

Thank you!
 
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