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Engineering Calculator
Conveyor
Calculation
Precision Step-by-Step Conveyor
Input
Acceleration Time
t
a
=
s
Deceleration Time
t
d
=
s
Constant Speed Time
t
cs
=
s
Dwell Time
t
dw
=
s
System Inclination (degrees)
0
γ=
°
Displacement Distance
L
step
=
mm
Pulley Pitch Diameter
D=
mm
Traveling Mass
m=
kg
Belt Mass
m
b=
kg
Pulleys Mass
m
p=
kg
Static Friction Coefficient
0.3
μ=
Service Factor
1.5
K
A
=
Conveyor Efficiency
0.85
η
c
=
Max. Motor Speed During Cycle
n
1
=
rpm
Gearbox Efficiency
η
r
=
Positioning Accuracy
A
p
=
mm
Gearbox Moment of Inertia
0
J
R
=
kg/cm
2
Motor Moment of Inertia
J
M
=
kg·cm
2
The formulas used for these calculations are available in
this PDF
.
Results
Machine
Pulley Circumference
L
D
=
mm
No. of Divisions per Pulley Turn
N=
Time per Displacement
t
on
=
s
Cycle Duration
t
cycle
=
s
Cycles per Minute
Z=
System Efficiency
η
t
=
Weight Force
F
w
=
N
Friction Force
F
f
=
N
Acceleration Force
F
a
=
N
Deceleration Force
F
d
=
N
Maximum Tangential Force
F
T max
=
N
Inertias
Traveling Mass Inertia
J
L
=
kg·cm
2
Pulley Inertia
J
P
=
kg·cm
2
Belt Inertia
J
B
=
kg·cm
2
Total Inertia
J
T
=
kg·cm
2
Total Inertia as Seen by the Motor
J
T1
=
kg·cm
2
Load to Motor Inertia Ratio
Λ=
Kinematics
Linear Acceleration
a=
m/s
2
Linear Deceleration
d=
m/s
2
Rotational Acceleration
α
a
=
rad/s
2
Rotational Deceleration
α
d
=
rad/s
2
Maximum Linear Speed
v=
m/s
Maximum Pulley Rotational Speed
n
2
=
rpm
Motor
Motor Power
P
1
=
kW
Required Motor Torque
T
m
=
N·m
Gearbox
Ideal Gearbox Ratio
i=
Ideal Gearbox Backlash (arcmin)
Δφ=
'
Required Gearbox Output Torque
T
2 max
=
N·m
Required Gearbox Output Torque, Adjusted for Service Factor
T
2KA
=
N·m
Buttons
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Diagrams
Precission Conveyor