Unit
Select the unit
Table shape and dimensions
Round Table Rectangular table
Table diameter D = in mm
A = in mm B = in mm
Table weight mass W m = lb kg
If you are not sure about the weight mass
Table thickness t = in mm
Table Material ρ =
Drive shaft dimention
Shaft diameter D2 = in mm
Shaft weight mass W2 m2 = lb kg
If you are not sure about the weight mass
Length L = in mm
Material ρ2 =
Load diameter D1 = in mm
A1 = in mm B1 = in mm
Distance from the table center to the load center r = in mm
Number of loads n = pc
Weight Mass of load W1 m1 = lb/pc kg/pc
If you are not sure about the weight mass
Load height h1 = in mm
Table support (Leave the fields blank if the friction coefficient can be ignored)
Friction coefficient between the table and the supporting mechanism μ=
Distance from the table center to the supporting mechanism
(Please specify the diameter if you use Ball bearing)
l = in mm
System efficiency η= %
Transmission belt and pulleys or gears (Leave the fields blank if a direct coupling structure is used)
Primary pulley (gear) pitch circle diameter (PCD) or diameter Secondary pulley (gear) pitch circle diameter (PCD) or diameter
Dp1 =   in mm Dp2 =   in mm
Primary pulley (gear) weight mass Secondary pulley (gear) weight mass
Wp1 mp1 =   lb kg Wp2 mp2 =   lb kg
If you are not sure about the weight mass If you are not sure about the weight mass
Primary pulley (gear) thickness Secondary pulley (gear) thickness
Lp1 =   in mm Lp2 =   in mm
Primary pulley (gear) material Secondary pulley (gear) material
ρp1 = ρp2 =
Mechanism condition
Horizontal operation Vertical operation
Other requirement(s)
It is necessary to hold the load even after the power supply is turned off.
→ You need an electromagnetic brake.
It is necessary to hold the load after the motor is stopped, but not necessary to hold after the power supply is turned off.
Operating conditions
 Fixed speed operation Operating speed V1 = r/min Acceleration/Deceleration t1 = s
 Variable speed operation Operating speed V1 = r/min 〜 V2 = r/min Acceleration/Deceleration t1 = s
 Positioning operation (Fill in the fields, if any) Rotor inertia JO = oz·in kg·m 2 Gear ratio i = If the rotor inertia and the gear ratio are unknown, the acceleration torque will be calculated with an inertia ratio of 5:1 (see the motor selection tips that will appear on the result window for the detail). Positioning distance θ = ° Positioning time t0 = s Stopping time ts = s If a specific acceleration / deceleration time is required t1 = s If a specific operating speed is required V = r/min If Positioning distance is given and acceleration/deceleration is unknown, it is calculated as one fourth of Positioing time.
Stopping accuracy
Stopping accuracy ± Δθ =  ° or
± Δl = in mm
Safety factor
Safety factor
The following is the estimated requirements. Please contact 1-800-468-3982 ( from overseas 1-847-871-5931 ) for assistance or questions.
Sizing Results
Load Inertia  JL = [oz·in [kg·m 2]
Required Speed  V1 = [r/min]
V2 = [r/min]
Required Torque  T = [lb·in] = [oz·in] [N·m]
RMS Torque  Trms = [lb·in] = [oz·in] [N·m]
Acceleration Torque  Ta = [lb·in] = [oz·in] [N·m]
Load Torque TL = [lb·in] = [oz·in] [N·m]
Required Stopping Accuracy Δθ = [deg]
Other Requirement(s)
To print the calculation report, click    Full Report
To view the motor selection tips, click    Tips
×
 Call 1-800-GO-VEXTA(468-3982) or 1-847-871-5931 Print

- given information -
Table shape and dimensions
Table type
Diameter D =  [in] [mm]
Width A =  [in] [mm]
Depth B =  [in] [mm]
Weight Mass W m [lb] [kg]
Thickness t =  [in] [mm]
Material ρ =  [oz/in [kg/m 3]
Drive shaft dimension
Shaft diameter D2 [in] [mm]
Shaft weight mass W2 m2 [lb] [kg]
Shaft length L =  [in] [mm]
Shaft material ρ2 [oz/in [kg/m 3]
Diameter D1 [in] [mm]
Width A1 [in] [mm]
Depth B1 [in] [mm]
Distance from the table center to the load center r =  [in] [mm]
Number of loads n =  pc
Load weight mass W1 m1 [lb] [kg]
Load material ρ1 [oz/in [kg/m 3]
Table support
Friction coefficient between the table and the supporting mechanism μ =
Distance from the table center to the supporting mechanism l =  [in] [mm]
System efficiency η =  %
Transmission belt and pulleys or gears
Primary pulley (gear) Secondary pulley (gear)
pitch circle diameter (PCD) Dp1 = [in] [mm] Dp2 = [in] [mm]
weight mass Wp1 mp1 = [lb] [kg] Wp2 mp2 = [lb] [kg]
thickness Lp1 = [in] [mm] Lp2 = [in] [mm]
material ρp1 = [oz/in [kg/m 3] ρp2 = [oz/in [kg/m 3]
Mechanism Condition
Mechanism Condition
Other requirement(s)
Is it necessary to hold the load even after the power supply is turned off?
Is it necessary to hold the load after the motor is stopped, but not necessary to hold after the power supply is turned off?
Operating conditions
Fixed speed operation Operating speed V1 = [r/min]
Acceleration / deceleration time t1 = [s]
Operating conditions
Variable speed operation Operating speed V1 = [r/min]
V2 = [r/min]
Acceleration / deceleration time t1 = [s]
Operating conditions
Positioning operation Rotor inertia JO = [oz·in kg·m 2]
Gear ratio i =
Positioning distance θ =  °
Positioning time t0 = [s]
Stopping time ts = [s]
Acceleration / deceleration time t1 = [s]
Specified speed V = [r/min]
Stopping accuracy
Stopping accuracy ± Δθ =  °
± Δl = [in] [mm]
Safety factor
Safety factor S·F =

- calculated result -
Jt =   (1/8) (w × 16 ) × D2 (π/32) ρ t × D4 (1/12) (w × 16) (A2 + B2) (1/12) p A B t (A2 + B2) (1/8) m × (D × 10-3)2 (π/32) ρ (t × 10-3 ) × (D × 10-3)4 (1/12) m ( (A × 10-3)2 + (B × 10-3)2) (1/12) ρ (A × 10-3) (B × 10-3) (t × 10-3 ) ( (A × 10-3 )2 + (B × 10-3 )2)
=   (1/8) ( × 16 ) × 2 (3.4/32) × × 4 (1/12) ( × 16 ) × (2 + 2 ) (1/12) × × × × (2 + 2 ) (1/8) × × ( × 10-3)2 (3.4/32) × ( × 10-3) × ( × 10-3)4 (1/12) × ((× 10-3)2 + (× 10-3)2 ) (1/12) × × ( × 10-3) × ( × 10-3) × ( × 10-3) (( × 10-3)2 + ( × 10-3)2 ) = [oz·in [kg·m 2]
JS =   (π/32) ρ2 L D24 (1/8) (W2 × 16) × D22 (π/32) ρ (L × 10-3) (D2 × 10-3)4 (1/8) m2 (D2 × 10-3)2
=   ( 3.14 / 32 ) × × × 4 (1/8) × ( × 16 ) ×2 =   ( 3.14 / 32 ) × × ( × 10-3) × ( × 10-3)4 (1/8) × × ( × 10-3)2 = [oz·in [kg·m 2]
J1 =   ((1/8) (W1 × 16) × D12 + (W1 × 16) r2) × n ((π/32) ρ h1 D14 + (π/4) ρ h1 D12 r2) × n (1/12) (W1 × 16) × (A12 + B12 + 12 × r2) × n (1/12) (ρ A1 B1 h1 (A12 + B12 + 12 × r2) × n ((1/8) m1( D1 ×10-3)2 + m1 (r ×10-3)2) × n ((π/32) ρ (h1 ×10-3) (D1 ×10-3)4 + (π/4) ρ (h1 ×10-3) (D1 ×10-3)2 (r ×10-3)2 ) × n (1/12) m1 ((A1 ×10-3)2 + (B1 ×10-3)2 + 12 × (r ×10-3)2) × n (1/12) ρ (A1 ×10-3) (B1 ×10-3) (h1 ×10-3) ((A1 ×10-3)2 + (B1 ×10-3)2 + 12 × (r ×10-3)2) × n
=   ((1/8) × ( × 16) × 2 + ( × 16) × 2) × ((3.14/32) × × ×4 + (3.14/4) × × 2 ×2) × (1/12) ( × 16) × (2 + × 2 + 12 × 2) × (1/12) ( × × × ) × (2 + 2 + 12 × 2) × ((1/8) × × ( ×10-3)2 + ( × 16) × ( ×10-3)2) × ((3.14/32) × × ( ×10-3) × ( ×10-3)4 + (3.14/4) × ( ×10-3) × ( ×10-3)2 × ( ×10-3)2) × (1/12) × × (( ×10-3)2 + × ( ×10-3)2 + 12 × ( ×10-3)2) × (1/12) × × ( ×10-3) × ( ×10-3) × ( ×10-3) × (( ×10-3)2 + ( ×10-3)2 + 12 × ( ×10-3)2) × = [oz·in [kg·m 2]
JDp1 =  ( 1 / 8 ) wp1 × 16 × Dp1 mp1 × (Dp1×10-3) 2
=   ( 1 / 8 ) ×  × 16 × ( ×10-3) 2 = [oz·in [kg·m 2]
JDp1 =   ( π / 32 ) ρp1 ( Lp1 ×10-3) ( Dp1 ×10-3) 4
=   ( 3.14 / 32 ) ×  × ( ×10-3)  × ( ×10-3) 4 = [oz·in [kg·m 2]
JDp2 =   ( 1 / 8 ) wp2 × 16 × Dp2 mP2 × (DP2×10-3) 2
=   ( 1 / 8 ) ×  × 16 × ( ×10-3) 2 = [oz·in [kg·m 2]
JDp2 =  ( π / 32 ) ρp2 ( Lp2 ×10-3) ( Dp2 ×10-3) 4
=   ( 3.14 / 32 ) ×  × ( ×10-3)  × ( ×10-3) 4 = [oz·in [kg·m 2]
JL =   ( Jt + Js + Jl + JDp2 ) ( Dp1 / Dp2 )2 + JDp1
= (  +  +  +  ) × (  /  )2 + [oz·in [kg·m 2]
JL =  Jt + Js + Jl
=  (  +  + ) [oz·in [kg·m 2]
Required Speed
 Vm =   V   ( Dp2 / Dp1 ) =     × (  /  ) = [r/min]
 Vm1 =   V1 ( Dp2 / Dp1 ) =     × (  /  ) = [r/min] Vm2 =   V2 ( Dp2 / Dp1 ) =     × (  /  ) = [r/min]
 Vm =  V × ( Dp2 / Dp1 ) =   × (  /  ) = [r/min] Vm ( θ / 360) × ( 60 / ( t0 - t1 ) ) × ( Dp2 / Dp1 ) (  / 360)  ) × (60 / ( - )) × (  /  ) = [r/min]
Required Torque
T =   ( Ta + TL ) ( Safety Factor )
= (  +  ) × = [lb·in] [N·m]
= [oz·in]
RMS Torque
Trms =   √(((( Ta + TL )2 × t1 ) + ( TL2 × (t0 - 2 × t1 )) + (( Ta - TL )2 × t1 )) / ( t0 + ts )) × (Safety Factor)
=   √ ((((  +  )2 ×  ) + ( 2 × (  - 2 ×  )) + ((  -  )2 ×  )) / (  +  )) × = [lb·in] [N·m]
= [oz·in]
Acceleration Torque
 Ta =   ( JL / 386 ) ( Vm / ( 9.55 × t1 )) ( 1 / 16 ) = (   / 386 ) × (  / ( 9.55 ×  )) × ( 1 / 16 ) = [lb·in] [N·m] = [oz·in]
 Ta =   ( JL / 386 ) ( Vm / ( 9.55 × t1 )) ( 1 / 16 ) = (  / 386 ) × (  / ( 9.55 ×  )) × ( 1 / 16 ) = [lb·in] [N·m] = [oz·in]
 Ta =   (( 1.2 × JL ) / 386 ) × ( Vm / ( 9.55 × t1 )) (( JO + JL )/386) × ( Vm / ( 9.55 × t1 )) (( JO × i2 + JL )/386) × ( Vm / ( 9.55 × t1 )) × ( 1 / 16 ) ( 1.2 × JL ) × ( Vm / ( 9.55 × t1 )) ( JO + JL ) × ( Vm / ( 9.55 × t1 )) ( JO × i2 + JL) × ( Vm / ( 9.55 × t1 )) = (( 1.2 × / 386 ) × ( / ( 9.55 × )) × ( 1 / 16 ) (( + )/386) × ( / ( 9.55 × )) × ( 1 / 16 ) (( × 2 + )/386) × ( / ( 9.55 × )) × ( 1 / 16 ) ( 1.2 × ) × ( / ( 9.55 × ) ( + ) × ( / ( 9.55 × )) ( × 2 + ) × ( / ( 9.55 × )) = [lb·in N·m] = [oz·in]