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/cm3
Timing Belt Operation Efficiency ηT = 90%
Pulley 1 Diameter(Motor side) DP1 = cm
Pulley 1 Width(Motor Side) LP1 = cm
Pulley 2 Diameter(Load Side) DP2 = cm
Pulley 2 Width(Load Side) LP2 = cm
Pulley Material Density ρP = kg/cm3
External Force FE = kgf
Gravitational acceleration g = m/sec²
sin α =
cos α =
Installation angle α = ˚
Travel Distance ℓ = cm
Positioning Time t0 = sec
Time of Acc/Dec t1 = sec
Gear Ratio R = Without Gearbox R=1
Gear Efficiency ηR = 90%(Without Gearbox ηR=1)
Pulley Gear Ratio Rp = = DP2/DP1
Safety Ratio S =
Encoder Resolution ppr
Angle Resolution Δθ = ˚
If you enter values in the yellow fields, the rest of the values are calculated automatically.

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Operation Speed and Acceleration Calculation
Work linearvelocity V = I =   = cm/sec
t0 - t1 -
Ball Screw Revolution Velocity ω8 = (V/P) × 2π = rad/sec
                                            = rpm
Pulley2(Load Side)Revolution Velocity ωP2 = ωB2 = rad/sec
Pulley1(Motor Side)Revolution Velocity ωP2 = ωP2 × RP = rad/sec
Operating Motor Revolution Angular Velocity ωM = ωP2 × R = rad/sec
                                              = rpm
Operating Motor Resolution Angular Acceleration = ω = ω =   = rad/sec²
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 = × J0 + kgf·cm
= × + = 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

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Verify validation of selected motor
K =   JL =   =
J0 × R² × ²
If Load's intertia moment ratio is less than 30, result is OK.
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.