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)

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

μ=

Service Factor

K_A=

Conveyor Efficiency

η_c=

Max. Motor Speed During Cycle

n₁=rpm

Gearbox Efficiency

η_r=

Positioning Accuracy

A_p=mm

Gearbox Moment of Inertia

J_R=kg/cm²

Motor Moment of Inertia

J_M=kg·cm²

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·cm²

Pulley Inertia

J_P=kg·cm²

Belt Inertia

J_B=kg·cm²

Total Inertia

J_T=kg·cm²

Total Inertia as Seen by the Motor

J_T1=kg·cm²

Load to Motor Inertia Ratio

Λ=

Kinematics

Linear Acceleration

a=m/s²

Linear Deceleration

d=m/s²

Rotational Acceleration

α_a=rad/s²

Rotational Deceleration

α_d=rad/s²

Maximum Linear Speed

v=m/s

Maximum Pulley Rotational Speed

n₂=rpm

Motor

Motor Power

P₁=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

Reset

Diagrams

Precission Conveyor