Ah yes

In lb is radius, so the ballscrew factor is 2pi*threads per inch

Which would double the acceleration from my earlier numbers.


> On Jul 22, 2020, at 10:43 PM, Thaddeus Waldner <thadw...@gmail.com> wrote:
> 
> 
> 
> 
> Start with a 226 oz in
> 
> / 16 = 14.125 lb in
> 
> 5 threads per inch is the same as a belt pulley with a circumference of 0.2 
> inches
> 
> since our unit is in lb in, we need to go from a pulley with diameter of Pi, 
> to diameter of .2
> 
> thus our final force is 14.125 * (pi/0.2) = 221.875 pounds (poundal?) force
> 
> divide that by your mass of 200lb and you get  
> 
> 1.109 g
> 
> 1g = roughly 32in/s^2 so 
> 
> 35.69 in/s^2
> 
> This is close to your ballpark guess of 40
> 
> Did I make a mistake anywhere?
> 
> 
> 
> 
>> On Wed, Jul 22, 2020 at 5:24 PM Nicklas SB Karlsson 
>> <nicklas.karlsso...@gmail.com> wrote:
>> On Wed, 22 Jul 2020 11:29:36 -0700
>> Chris Albertson <albertson.ch...@gmail.com> wrote:
>> 
>> > I don't see any relation between max acceleration and max speed.
>> > Acceleration is determined by (1) the mass of the table and (2) the
>> > torque the motor can produce while speed is determined by the max RPM
>> > of the motor.
>> 
>> Mostly agree though as torque usually depend mostly on current there will be 
>> a resistive voltage drop at higher torque which will reduce speed at higher 
>> torque, speed reduction is usually small. For example series connected DC 
>> motors and induction motors made for direct will reduce speed so there are 
>> exceptions but do not expect these are used as servo motors anyway.
>> 
>> Change gear ratio and use motor with same power different speed may change 
>> acceleration due to rotor inertia.
>> 
>> > It is very easy to buy a tiny motor with low torque that spins very
>> > fast.  Or you can find powerful but slow motors.   Multiplying the
>> > speed by three to find acceleration, if it works is just a
>> > coincidence.  The factor could be 0.5 or 10.
>> 
>> High torque motors usually need a gear box or will become heavy. This is 
>> because flux and current is multiplied to get force while there is choice 
>> between current or flux in electric motor air gap, there is an optimal 
>> choice then either air gap area or diameter need to be increased. Magnetic 
>> materials will saturate then flux get high enough while conductor losses 
>> increase with current.
>> 
>> > There are two whys to go.  A mechanical engineer would start with a
>> > requirement for a certain speed and a certain acceleration.  His boss
>> > would give him those goals and then he would select a motor and drive.
>> >   The other way used by most amateurs is to just buy a motor that
>> > "seems right" and then test it to see what speed and a certain
>> > acceleration you can get from it.
>> 
>> Not sure the boss will ask mechanical engineer about speed and a certain 
>> acceleration and then give these as a goal to the engineer. It is common 
>> boss read economics and contract but then it come to technical details odd 
>> things may happen.
>> 
>> 
>> Nicklas SB Karlsson
>> 
>> 
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