Unit
Select the unit
Imperial
Metric
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 =
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
Drive shaft dimention
Shaft diameter
D
2
=
in
mm
Shaft
weight
mass
W
2
m
2
=
lb
kg
If you are not sure about the
weight
mass
Length
L =
in
mm
Material
ρ
2
=
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
Load shape and dimensions
No additional load
Cylinder type
Rectangular pillar type
Load diameter
D
1
=
in
mm
A
1
=
in
mm
B
1
=
in
mm
Distance from the table center to the load center
r =
in
mm
Number of loads
n =
pc
Weight
Mass
of load
W
1
m
1
=
lb/pc
kg/pc
If you are not sure about the
weight
mass
Load height
h
1
=
in
mm
Load material
ρ
1
=
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
Table support (Leave the fields blank if the friction coefficient can be ignored)
Friction coefficient between the table and the supporting mechanism
μ=
Please select
0.05
0.1
0.3
0.5
Others
Please enter the friction coefficient
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
D
p1
=
in
mm
D
p2
=
in
mm
Primary pulley (gear)
weight
mass
Secondary pulley (gear)
weight
mass
W
p1
m
p1
=
lb
kg
W
p2
m
p2
=
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
L
p1
=
in
mm
L
p2
=
in
mm
Primary pulley (gear) material
Secondary pulley (gear) material
ρ
p1
=
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
ρ
p2
=
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
Please select
Steel
Stainless-steel 304
Aluminum
Brass
Nylon
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
V
1
=
r/min
Acceleration/Deceleration
t
1
=
s
Variable speed operation
Operating speed
V
1
=
r/min
〜
V
2
=
r/min
Acceleration/Deceleration
t
1
=
s
Positioning operation (Fill in the fields, if any)
Rotor inertia
J
O
=
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
t
0
=
s
Stopping time
t
s
=
s
If a specific acceleration / deceleration time is required
t
1
=
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
Load center circumference
Table circumference
Safety factor
Safety factor
Please select
1.5
1.75
2
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
J
L
=
[oz·in
[kg·m
2
]
Required Speed
V
1
=
[r/min]
V
2
=
[r/min]
Required Torque
T
=
[lb·in] =
[oz·in]
[N·m]
RMS Torque
T
rms
=
[lb·in] =
[oz·in]
[N·m]
Acceleration Torque
T
a
=
[lb·in] =
[oz·in]
[N·m]
Load Torque
T
L
=
[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
D
2
=
[in]
[mm]
Shaft
weight
mass
W
2
m
2
=
[lb]
[kg]
Shaft length
L =
[in]
[mm]
Shaft material
ρ
2
=
[oz/in
[kg/m
3
]
Load shape and dimensions
Load type
Diameter
D
1
=
[in]
[mm]
Width
A
1
=
[in]
[mm]
Depth
B
1
=
[in]
[mm]
Distance from the table center to the load center
r =
[in]
[mm]
Number of loads
n =
pc
Load
weight
mass
W
1
m
1
=
[lb]
[kg]
Load height
h
1
=
[in]
[mm]
Load material
ρ
1
=
[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)
D
p1
=
[in]
[mm]
D
p2
=
[in]
[mm]
weight
mass
W
p1
m
p1
=
[lb]
[kg]
W
p2
m
p2
=
[lb]
[kg]
thickness
L
p1
=
[in]
[mm]
L
p2
=
[in]
[mm]
material
ρ
p1
=
[oz/in
[kg/m
3
]
ρ
p2
=
[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
V
1
=
[r/min]
Acceleration / deceleration time
t
1
=
[s]
Operating conditions
Variable speed operation
Operating speed
V
1
=
[r/min]
V
2
=
[r/min]
Acceleration / deceleration time
t
1
=
[s]
Operating conditions
Positioning operation
Rotor inertia
J
O
=
[
oz·in
kg·m
2
]
Gear ratio
i
=
Positioning distance
θ
=
°
Positioning time
t
0
=
[s]
Stopping time
t
s
=
[s]
Acceleration / deceleration time
t
1
=
[s]
Specified speed
V
=
[r/min]
Stopping accuracy
Stopping accuracy
± Δθ
=
°
± Δl
=
[in]
[mm]
Safety factor
Safety factor
S·F
=
- calculated result -
Load Inertia
J
t
=
(1/8) (w × 16 ) × D
2
(π/32) ρ t × D
4
(1/12) (w × 16) (A
2
+ B
2
)
(1/12) p A B t (A
2
+ B
2
)
(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
]
J
S
=
(π/32) ρ
2
L D
2
4
(1/8) (W
2
× 16) × D
2
2
(π/32) ρ (L × 10
-3
) (D
2
× 10
-3
)
4
(1/8) m
2
(D
2
× 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
]
J
1
=
((1/8) (W
1
× 16) × D
1
2
+ (W
1
× 16) r
2
) × n
((π/32) ρ h
1
D
1
4
+ (π/4) ρ h
1
D
1
2
r
2
) × n
(1/12) (W
1
× 16) × (A
1
2
+ B
1
2
+ 12 × r
2
) × n
(1/12) (ρ A
1
B
1
h
1
(A
1
2
+ B
1
2
+ 12 × r
2
) × n
((1/8) m
1
( D
1
×10
-3
)
2
+ m
1
(r ×10
-3
)
2
) × n
((π/32) ρ (h
1
×10
-3
) (D
1
×10
-3
)
4
+ (π/4) ρ (h
1
×10
-3
) (D
1
×10
-3
)
2
(r ×10
-3
)
2
) × n
(1/12) m
1
((A
1
×10
-3
)
2
+ (B
1
×10
-3
)
2
+ 12 × (r ×10
-3
)
2
) × n
(1/12) ρ (A
1
×10
-3
) (B
1
×10
-3
) (h
1
×10
-3
) ((A
1
×10
-3
)
2
+ (B
1
×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
]
J
Dp1
= ( 1 / 8 )
w
p1
× 16 × D
p1
m
p1
× (D
p1
×10
-3
)
2
= ( 1 / 8 ) ×
×
16 ×
(
×10
-3
)
2
=
[oz·in
[kg·m
2
]
J
Dp1
= ( π / 32 ) ρ
p1
(
L
p1
×10
-3
)
(
D
p1
×10
-3
)
4
= ( 3.14 / 32 ) ×
×
(
×10
-3
)
×
(
×10
-3
)
4
=
[oz·in
[kg·m
2
]
J
Dp2
= ( 1 / 8 )
w
p2
× 16 × D
p2
m
P2
× (D
P2
×10
-3
)
2
= ( 1 / 8 ) ×
×
16 ×
(
×10
-3
)
2
=
[oz·in
[kg·m
2
]
J
Dp2
= ( π / 32 ) ρ
p2
(
L
p2
×10
-3
)
(
D
p2
×10
-3
)
4
= ( 3.14 / 32 ) ×
×
(
×10
-3
)
×
(
×10
-3
)
4
=
[oz·in
[kg·m
2
]
J
L
= ( J
t
+ J
s
+ J
l
+ J
Dp2
) ( D
p1
/ D
p2
)
2
+ J
Dp1
= (
+
+
+
) × (
/
)
2
+
=
[oz·in
[kg·m
2
]
J
L
= J
t
+ J
s
+ J
l
= (
+
+
)
=
[oz·in
[kg·m
2
]
Required Speed
V
m
= V
( D
p2
/ D
p1
)
=
× (
/
)
=
[r/min]
V
m1
= V
1
( D
p2
/ D
p1
)
=
× (
/
)
=
[r/min]
V
m2
= V
2
( D
p2
/ D
p1
)
=
× (
/
)
=
[r/min]
V
m
= V
× ( D
p2
/ D
p1
)
=
× (
/
)
=
[r/min]
V
m
( θ / 360) × ( 60 / ( t
0
- t
1
) )
× ( D
p2
/ D
p1
)
(
/ 360) ) × (60 / (
-
))
× (
/
)
=
[r/min]
Required Torque
T
= ( T
a
+ T
L
) ( Safety Factor )
= (
+
) ×
=
[lb·in]
[N·m]
=
[oz·in]
RMS Torque
T
rms
= √(((( T
a
+ T
L
)
2
× t
1
) + ( T
L
2
× (t
0
- 2 × t
1
)) + (( T
a
- T
L
)
2
× t
1
)) / ( t
0
+ t
s
)) × (Safety Factor)
= √ ((((
+
)
2
×
) + (
2
× (
- 2 ×
)) + ((
-
)
2
×
)) / (
+
)) ×
=
[lb·in]
[N·m]
=
[oz·in]
Acceleration Torque
T
a
=
(
J
L
/ 386 )
( V
m
/ ( 9.55 × t
1
))
( 1 / 16 )
=
(
/ 386 )
× (
/ ( 9.55 ×
))
× ( 1 / 16 )
=
[lb·in]
[N·m]
=
[oz·in]
T
a
=
(
J
L
/ 386 )
( V
m
/ ( 9.55 × t
1
))
( 1 / 16 )
=
(
/ 386 )
× (
/ ( 9.55 ×
))
× ( 1 / 16 )
=
[lb·in]
[N·m]
=
[oz·in]
T
a
=
(( 1.2 × J
L
) / 386 ) × ( V
m
/ ( 9.55 × t
1
))
(( J
O
+ J
L
)/386) × ( V
m
/ ( 9.55 × t
1
))
(( J
O
× i
2
+ J
L
)/386) × ( V
m
/ ( 9.55 × t
1
))
× ( 1 / 16 )
( 1.2 × J
L
) × ( V
m
/ ( 9.55 × t
1
))
( J
O
+ J
L
) × ( V
m
/ ( 9.55 × t
1
))
( J
O
× i
2
+ J
L
) × ( V
m
/ ( 9.55 × t
1
))
=
(( 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]
Load Torque
W
T
m
T
=
W
m
(1/16) (π / 4) ρ t D
2
(π / 4) ρ (t ×10
-3
) (D ×10
-3
)
2
(1/16) ρ A B t
ρ (A ×10
-3
) (B ×10
-3
) (t ×10
-3
)
=
(1/16) (3.14 / 4) ×
×
×
2
(3.14 / 4) ×
× (
×10
-3
) × (
×10
-3
)
2
(1/16) ×
×
×
×
× (
×10
-3
) × (
×10
-3
) × (
×10
-3
)
=
[
lb
Kg
]
W
1
m
1
=
No additional load
w
1
m
1
× n
(1/16) (π / 4) ρ
1
h
1
D
1
2
n
(π / 4) ρ
1
(h
1
× 10
-3
) (D
1
× 10
-3
)
2
n
(1/16) ρ
1
A
1
B
1
h
1
n
(ρ
1
(A
1
× 10
-3
) (B
1
× 10
-3
) (h
1
× 10
-3
)) × n
=
0
×
(1/16) × (3.14 / 4) ×
×
×
2
×
× (3.14 / 4) ×
× (
× 10
-3
) × (
× 10
-3
)
2
×
(1/16) ×
×
×
×
×
×
× (
× 10
-3
) × (
× 10
-3
) × (
× 10
-3
) ×
=
[
lb
Kg
]
T
L
=
( W
T
+ W
1
) µ
9.8 ( m
T
+ m
1
) µ (l × 10
-3
)
(1 / (η × 0.01))
( W
1
/2 ) r
( 9.8 m
1
/2) (r × 10
-3
)
(1 / (η × 0.01))
( D
p1
/ D
p2
)
=
9.8 ×
(
+
) ×
×
(
× 10
-3
)
× (1 / (
× 0.01))
(
/ 2 ) ×
( 9.8 ×
/ 2) × (
× 10
-3
)
× (1 / (
× 0.01))
× (
/
)
=
[lb·in]
[N·m]
=
[oz·in]
Required Stopping Accuracy
Δθ
=
Δθ
Δl ( 360° / π D )
Δl ( 360° / 2 π r )
( D
p2
/ D
p1
)
=
× ( 360 / (3.14 ×
) )
× ( 360 / (2 × 3.14 ×
) )
× (
/
)
=
[deg]
Other requirement(s)
- end of the report -