Engineering Calculator

Calculation Type

Ball screw

Conveyor

Elevator

Generic Load

Rack&Pinion System

Rotary Table

Forces on Pinion

Simple Body Inertia

Welcome to Servotak's Engineering Calculator. Select your machine type above to start calculating.

Calculation

Ballscrew Positioner

Ball Screw-powered Machine Tool

Input

System Inclination

γ=degrees

Ball Screw Lead

p=mm/rev

Ball screw length

L=mm

Ball Screw Diameter

D=mm

Ball Screw Efficiency

η_bs=

Friction Coefficient

μ=

Service Factor

K_A=

Traveling Weight

m=kg

Linear Speed

v=m/s

Acceleration Time

t_a=s

Machining Force

F=N

Motor Rated Speed

n₁=rpm

Gearbox Efficiency

η_r=

Gearbox Inertia

J_R=kg·cm²

Motor Inertia

J_M=kg·cm²

The formulas used for these calculations are available in this PDF.

Results

Machine

System Efficiency

η_t=

Weight Force

F_w=N

Friction Force

F_f=N

Acceleration Force

F_a=N

Total Force

F_T=N

Total Force

F_T=N

Inertias

Load Inertia

J_L=kg·cm²

Ball Screw Inertia

J_bs=kg·cm²

Load and Ball Screw Inertia

J_T=kg·cm²

Load and Ball Screw Inertia as Seen by the Motor

J_T1=kg·cm²

Load and Ball Screw to Motor Inertia Ratio

Λ=

Kinematics

Linear Acceleration

a=m/s²

Screw Rotational Acceleration

α_bs=rad/s²

Screw Rotational Speed

ω_bs=rad/s

Screw Rotational Speed

n_bs=rpm

Motor

Motor Power

P₁=kW

Motor Power

P₁=kW

Gearbox

Ideal Gearbox Ratio

Required Gearbox Output Torque

T₂=N·m

Required Gearbox Output Torque, Adjusted for Service Factor

T_2KA=N·m

Required Gearbox Output Torque

T₂=N·m

Required Gearbox Output Torque, Adjusted for Service Factor

T_2KA=N·m

This is a test title

Buttons

Reset

Diagrams

Ball Screw

Calculation

Precission Conveyor

Input

System Inclination

γ=degrees

Pulley Diameter

D=mm

Load Mass

m=kg

Belt Mass

m_b=kg

Pulleys Mass

m_p=kg

Friction Coefficient

μ=

Service Factor

K_A=

Speed

v=m/s

Acceleration Time

t_a=s

Conveyor Efficiency

η_c=

Motor Rated Speed

n₁=rpm

Gearbox Efficiency

η_r=

Positioning Accuracy

A_p=mm

Gearbox Inertia

J_R=kg/cm²

Motor Inertia

J_M=kg·cm²

The formulas used for these calculations are available in this PDF.

Results

Machine

System Efficiency

η_t=

Weight Force

F_w=N

Friction Force

F_f=N

Acceleration Force

F_a=N

Total Force

F_T=N

Inertias

Load Inertia

J_L=kg·cm²

Pulley Inertia

J_P=kg·cm²

Belt Inertia

J_B=kg·cm²

Conveyor Inertia

J_T=kg·cm²

Conveyor Inertia as Seen by the Motor

J_T1=kg·cm²

Conveyor to Motor Inertia Ratio

Λ=

Kinematics

Acceleration

a=m/s²

Pulley Rotary Speed

n₂=rpm

Motor

Motor Power

P₁=kW

Gearbox

Ideal Gearbox Ratio

Ideal Gearbox Backlash

Δφ=arcmin

Required Gearbox Output Torque

T₂=N·m

Required Gearbox Output Torque, Adjusted for Service Factor

T_2KA=N·m

Buttons

Reset

Diagrams

Precission Conveyor

Calculation

Elevation

Input

Drive Pulley Diameter

D_P=mm

Elevator Platform Mass

m_ca=kg

Counterweight Mass

m_co=kg

Load Mass

m_lo=kg

Speed

v=m/s

Acceleration Time

t_a=s

Service Factor

K_A=

Elevator Efficiency

η_e=

Motor Rated Speed

n₁=rpm

Gearbox Efficiency

η_g=

Positioning Accuracy

A_p=mm

The formulas used for these calculations are available in this PDF.

Results

Machine

System Efficiency

η_t=

Net mass

m=kg

Weight Force

F_w=N

Acceleration Force

F_a=N

Total Force

F_T=N

Kinematics

Acceleration

a=m/s²

Pulley Rotational Speed

n_p=rpm

Motor

Motor Power

P₁=kW

Gearbox

Ideal gearbox ratio

Ideal Gearbox Backlash

Δφ=arcmin

Required Gearbox Output Torque

T₂=N·m

Required Gearbox Output Torque, Adjusted for Service Factor

T_2KA=N·m

Buttons

Reset

Diagrams

Elevation

Calculation

Geared Motor and Gear Train

Input

Load Inertia

J_L=kg·m²

Required Force on Load

F=N

Force at Radius

mm=r

Rotational Speed

n₂=rpm

Acceleration Time

t_a=s

Gear Wheel Density

ρ=kg/m³

Gear 1 Pitch Diameter

D₁=mm

Gear 1 Tooth Width

b₁=mm

Gear 2 Pitch Diameter

D₂=mm

Gear 2 Tooth Width

b₂=mm

Service Factor

K_A=

Machine Efficiency

η_m=

Gearbox Efficiency

η_g=

Gearbox Inertia

J_R=kg·cm²

Motor Rated Speed

n₁=rpm

Motor Inertia

J_M=kg·cm²

The formulas used for these calculations are available in this PDF.

Results

Machine

System Efficiency

η=

Gear 1 Mass

m₁=kg

Gear 2 Mass

m₂=kg

Inertias

Gear 1 Inertia

J_G1=kg·m²

Gear 2 Inertia

J_G2=kg·m²

Total Inertia

J_T=kg·m²

Load Inertia as Seen by the Motor

J_T1=kg·cm²

Load to Motor Inertia Ratio

Λ=

Kinematics

Rotational Acceleration

α=rad/s²

Rotational Speed

ω=rad/s

Acceleration Torque on Load

T_a=N·m

Motor

Minimum Motor Power

P₁=kW

Gearbox

Total Required Ratio

i_T=

Gear Wheels Ratio

i_G=

Ideal Gearbox Ratio

Required Torque on Load

T_L=N·m

Total Required Torque on Load

T_T=N·m

Required Gearbox Output Torque

T₂=N·m

Required Gearbox Output Torque, Adjusted for Service Factor

T_2KA=N·m

Buttons

Reset

Diagrams

Geared Motor and Gear Train

Calculation

Straight Teeth

Helical Teeth

Input

System Inclination

γ=degrees

Traveling Weight

m=kg

Speed

v=m/s

Acceleration Time

t_a=s

Static Friction Coeff.

μ_s=

Service Factor

K_A=

System Efficiency

η=

Pinion Pitch Diameter

d=mm

Pinion Inertia

J_P=kg·cm²

Pinion Pressure Angle

α=degrees

Pinion Helix Angle

β_d=degrees

Pinion Helix Angle

β_m=arcmin

Pinion Helix Angle

β_s=arcsec

Machining Force

F=N

Motor Inertia

J_M=kg·cm²

Motor Rated Speed

n₁=rpm

Gearbox Inertia

J_R=kg·cm²

Positioning Accuracy

A_p=mm

The formulas used for these calculations are available in this PDF.

Results

Machine

Friction Force

F_f=N

Acceleration Force

F_acc=N

Force due to Gravity

F_w=N

Tangential Force on Pinion

F_t=N

Radial Force on Pinion

F_r=N

Radial Force on Pinion

F_r=N

Axial Force on Pinion

F_ax=N

Pinion Helix Angle

β=degrees

Inertias

Inertia as Seen by the Motor

J_T1=kg·m²

Load to Motor Inertia Ratio

Λ=

Kinematics

Acceleration

a=m/s²

Pinion Rotational Speed

n₂=rpm

Motor

Motor Power during Acceleration

P₁=kW

Gearbox

Ideal Gearbox Ratio

Ideal Gearbox Backlash

Δφ=arcmin

Acceleration Torque on Pinion

T₂=N·m

Acceleration Torque on Pinion, Adjusted for Service Factor

T_2KA=N·m

Buttons

Reset

Diagrams

Straight Teeth

Helical Teeth

Calculation

Direct Drive

Indirect Drive

Input

Table Diameter

D=mm

Table Thickness

h=mm

Table Density

ρ=kg/m³

No of Work Stations

no_ws=

Work Station Mass

m_ws=kg

Work Stations at Radius

r=mm

P₁ Pulley Pitch Diameter

D_P1=mm

P₂ Pulley Pitch Diameter

D_P2=mm

Time per Division

t_ws=s

Acceleration Time

t_a=s

Deceleration Time

t_d=s

Table Efficiency

η_ta=

Gearbox Efficiency

η_r=

Service Factor

K_A=

Motor Rated Speed

n₁=rpm

Positioning Accuracy

Δ_p=mm

Gearbox Inertia

J_R=kg·cm²

Motor Inertia

J_M=kg·cm²

The formulas used for these calculations are available in this PDF.

Results

Table radius

R=m

Table thickness

h=m

Work Stations at Radius

r=m

Machine

System Efficiency

η=

Table Mass

m_ta=kg

Pulley Ratio

i_P=

Required Acceleration Torque

T_acc=N·m

Required Deceleration Torque

T_dec=N·m

Inertias

Table Inertia

J_Ta=kg·m²

Single Work Station Inertia

J_ws=kg·m²

Total Work Station Inertia

J_aws=kg·m²

Table and Workstations Inertia

J_T=kg·m²

Inertia as Seen by the Motor

J_T1=kg·cm²

Table to Motor Inertia Ratio

Λ=

Kinematics

Angular Acceleration

α_a=rad/s²

Angular Decceleration

α_d=rad/s²

Rotational Speed

ω=rad/s

Rotational Speed

n₂=rpm

Motor

Motor Power

P₁=kW

Gearbox

Ideal Gearbox Ratio

Ideal Gearbox Backlash

Δφ=arcmin

Ideal Gearbox Backlash

Δφ=arcmin

Required Gearbox Output Torque

T₂=N·m

Required Gearbox Output Torque

T₂=N·m

Required Gearbox Output Torque, Adjusted for Service Factor

T_2KA=N·m

Required Gearbox Output Torque, Adjusted for Service Factor

T_2KA=N·m

Buttons

Reset

Diagrams

Direct Drive Rotary Table

Indirect Drive Rotary Table

Calculation

Straight Teeth

Helical Teeth

Input

Torque on Pinion

T=N·m

Pinion Pitch Diameter

d=mm

Pinion Pressure Angle

α=degrees

Pinion Helix Angle

β_d=degrees

Pinion Helix Angle

β_m=arcmin

Pinion Helix Angle

β_s=arcsec

The formulas used for these calculations are available in this PDF.

Results

Tangential Force on Pinion

F_t=N

Radial Force on Pinion

F_r=N

Radial Force on Pinion

F_r=N

Axial Force on Pinion

F_a=N

Pinion Helix Angle

β=degrees

Buttons

Reset

Diagrams

Forces on a Straight Pinion

Forces on an Helical Pinion

Calculation

Centered Coaxial Solid Cylinder (1a)

Offset Coaxial Solid Cylinder (1b)

Centered Coaxial Hollow Cylinder (2a)

Offset Coaxial Hollow Cylinder (2b)

Centered Transversal Solid Cylinder (3a)

Offset Transversal Solid Cylinder (3b)

Centered Transversal Hollow Cylinder (4a)

Offset Transversal Hollow Cylinder (4b)

Centered Rectangular Parallelepiped (5a)

Offset Rectangular Parallelepiped (5b)

Input

Label

No. of Bodies

no=

Radius

r=mm

Specific Weight

ρ=kg/m³

Outer Diameter

d₁=mm

Inner Diameter

d₂=mm

Thickness

e=mm

Length

l=mm

Width

b=mm

The formulas used for these calculations are available in this PDF.

Results

Mass

m=kg

Total Mass

m=kg

Inertia

I=kg·m²

Inertia

I=kg·m²

Mass

m=kg

Total Mass

m=kg

Inertia

I=kg·m²

Inertia

I=kg·m²

Mass

m=kg

Total Mass

m=kg

Inertia

I=kg·m²

Inertia

I=kg·m²

Mass

m=kg

Total Mass

m=kg

Inertia

I=kg·m²

Inertia

I=kg·m²

Mass

m=kg

Total Mass

m=kg

Inertia

I=kg·m²

Inertia

I=kg·m²

Accumulated Mass

m_T=kg

Accumulated Inertia

I_T=kg·m²

Buttons

Accumulate

Reset

Diagrams

Centered Coaxial Solid Cylinder (1a)

Offset Coaxial Solid Cylinder (1b)

Centered Coaxial Hollow Cylinder (2a)

Offset Coaxial Hollow Cylinder (2b)

Centered Transversal Solid Cylinder (3a)

Offset Transversal Solid Cylinder (3b)

Centered Transversal Hollow Cylinder (4a)

Offset Transversal Hollow Cylinder (4b)

Centered Rectangular Parallelepiped (5a)

Offset Rectangular Parallelepiped (5b)