Basic DATA for Calculation
Total weight of table & work W = kgf
Total mass of table & work m = kg
Coefficient friction at linear motion area μ =
Ball Screw Operation Efficiency η8 = 90%
Pre-load Coefficient of internal friction of Nut μ0 =
Ball Screw Diameter D = cm
Ball Screw whole length L = cm
Ball Screw Pitch P = cm
Ball Screw Material Density ρ = kg/cm
Travel Distance ℓ = cm
Positioning Time t0 = sec
Time of Acc/Dec t1 = sec
External Force FE = kgf
Gravitational acceleration g = m/sec²
sin =
cos =
Basic Step Angle = °
Encoder Resolution = ppr
Installation angle α = ˚
Gear Ratio R = Without Gearbox R=1
Gear Efficiency ηR = 90%(Without Gearbox ηR=1)
Safety Ratio S =
Angle Resolution Δθ = ˚
25% of Position setting time is appropriate.
If you enter values in the yellow fields, the rest of the values are calculated automatically.

Refresh Calculate

Operation Speed and Acceleration Calculation
Work linearvelocity V = I =   = cm/sec
t0 - t1 × ²
Ball Screw Rotation Speed ωR = (V/P) × 60 = rpm
Operation Motor Revolution Velocity ωM = (V/P) × 60 = rpm
Operation Motor Revolution Angular Velocity ωM = (V/P) × R × 2π = rad/sec
Operating Motor Resolution Angular Acceleration = ω = ω =   = rad/sec²
t1
Ball Screw Acc/Dec Angular Velocity = ω = V × 2π =   × 2π = rad/sec
P
Operating Motor Resolution Angular Acceleration = ω = ω =   = rad/sec²
t1
Motor Selection
Just consider Rotor's Inertia Moment as J0 = 0,
Motor Operation Torque TM = so, from FASTEH Motor Torque curves
Operating motor revolution velocity ω8 = rpm at
Operating Torque is TM = Select motor offers over N.m from curves

See Torque Curves of Selected Motor

Verify validation of selected motor
From selected motor spec, need to file out inertia moment J0
J0 = gcm² = kgcm² = kgm²
Motor's operating Torque re-calculation with consideration of motor inertia moment
TM = × + = kgf·cm
= N·m
[ Verify validation of selected motor ]
From selected motor's torque curve
Selected motor's revolution velocity ω8 = rpm at
Selected motor's torque is TM = is over : OK.
Selected motor's torque is TM = is less than : NG.
Repeat step 6. (Motor selection) and Step 7. (Verify Validation) width increasing motor's length or size

Refresh Calculate

Verify validation of selected motor
K =   JL =   =
J0 × R² × ²
Check Load's Intertia Moment Ratio K
Can operate but motor's inappropriate opation (vibrating at Acc/Dec) can be happened So, please input enough Acc/Dec and need to decrease operation speed If you can't control Acc/Dec and need to decrease operation speed, please increase one level of motor's length or size, We would like to recommend to choose bigger motor has higher inertia moment.
In case of using reducer, even selected motor's operation torque is enough but load inertia moment ratio "K" is not satisfied, We would like to recomment to choose incrased ration of reducer.