Fareed Mohmed · Engineering
Servo Motor Sizing Calculator
Reflect · Ratio · Torque · Real motors
Reflect a rotary or linear load’s inertia back to the motor shaft, check the inertia ratio, and calculate the peak and RMS torque a servo motor must deliver over a trapezoidal move. Then shortlist real Inovance, Omron, Delta and Misumi servo motors with the matching drive, each checked with its own rotor inertia, and check any other motor by hand.
This covers inertia matching and torque sizing for a single-axis point-to-point move, which is where most sizing mistakes come from. It does not replace the maker’s sizing software, which also checks the torque-speed curve, thermal duty over a full multi-move cycle, braking energy and resonance from mechanical compliance. Motor and drive data are Inovance, Omron, Delta and Misumi catalogue figures; other brands are not loaded yet.
Start Here: Sizing a Servo Axis
A servo motor is chosen by three limits, not one: how much inertia it has to control, how hard it has to push for a short time (peak torque) and how much heat the whole cycle makes (RMS torque). These six steps give the order. Read them once, then use sections 01 to 06.
Reflect the load to the motor shaft
Gearbox, screw or belt: bring the load inertia (or mass) back to the motor shaft so that it can be compared with a rotor.
Start in section 01 →Describe the move
Target speed, accel and decel time, run time, dwell and the external load torque (friction, gravity, process).
Enter it in section 03 →Let the tool shortlist real motors
Choose the brand and drive family, supply voltage and whether you need a brake. The tool adds each motor’s own rotor inertia, recalculates its torques and keeps those that pass six checks.
Find a motor in section 04 →Look at the margins
The shortlist shows how much of the rating the move uses and the inertia ratio. Try a longer accel time or a gearbox if the best fit is too tight.
Match the drive
The peak torque needs the drive’s peak current. Check the drive ratings and, for fast stops or vertical loads, the braking resistor.
See the drives in section 06 →Confirm before you order
Check the torque-speed curve in the maker’s guide and the maker’s sizing software. This page covers one axis and one move.
Common mistakes
Brands that make this product
Outlined gold: motor and drive data loaded from the maker’s catalogue (Inovance, Omron, Delta and Misumi). Grey dashed: not loaded yet. Confirm every model against the maker’s catalogue before you order.
Omronmotor and drive data
Deltamotor and drive data
Misumimotor and drive data
Mitsubishi Electricnot yet
Yaskawanot yet
Siemensnot yet
Panasonicnot yetBrand names and logos are trademarks of their owners and are shown only to identify catalogues.
Reflected Load Inertia
Reflects the load's inertia (or mass, for a linear axis) back to the motor shaft so it can be compared against the motor's own rotor inertia.
Worked example for this load type
An indexing table is driven through a 10:1 gearbox. The table, its fixture and the parts on it add up to 300 kg·cm² at the table shaft (a steel disc of 200 mm diameter and 25 mm thickness is about 308 kg·cm²: try it in the box below). The motor sees it divided by 10², so the answer is 3.00 kg·cm². A gearbox cuts the load inertia by the ratio squared, which is why a small motor can drive a heavy table.
A roller is coupled straight to the motor shaft. Its inertia is 18 kg·cm², and with no gearbox the motor sees all of it. Use this mode for a motor-mounted flywheel, a direct-drive rotary table or a coupled shaft. If you add a coupling, put its inertia in the last box.
A carriage and workpiece weigh 40 kg on a ball screw with a 10 mm lead. The screw (about 25 mm × 500 mm, steel) plus coupling weigh in at roughly 1.5 kg·cm²: calculate the screw in the box below as a solid cylinder and put the result in the last box. The moving mass gives only about 1.0 kg·cm² at the motor (a long lead reflects very little), so the total is about 2.5 kg·cm²: here the screw matters more than the load. Take the mass and lead from your design and the catalogue; the lead is the travel per screw turn.
A carriage and load weigh 3 kg on a belt driven by a 40.7 mm pitch-diameter pulley (16 teeth, 8 mm pitch). The pulley is aluminium, about 0.3 kg·cm²: calculate it below and put it in the last box. The mass gives about 12.4 kg·cm², so the total is about 12.7 kg·cm². A belt reflects the mass at the pulley radius, so it is far heavier for the motor than a ball screw of the same mass. Heavy belt axes normally use a gearbox, which is not in this mode: work out the load inertia at the gearbox output and divide it by the ratio squared yourself. If you only know teeth and pitch, use the helper below: D = teeth × pitch ÷ π.
Don’t know the inertia? Calculate it from the part
Pick the shape, enter the sizes in millimetres, and choose the material, or type the mass if you know it. Then send the result to the field above. Use Add to build up several parts one at a time (a disc, then a hub, then a fixture). The inertia must be taken about the axis the part turns on.
Gearbox: JL' = JL / N² + Jc. Ball screw: JL' = m·(L / 2π)² + Jc (L converted to metres per revolution). Belt & pulley: JL' = m·r² + Jc, r = pulley pitch radius. Carries down to section 02 automatically.
Inertia Ratio Check
Ratio = Reflected Load Inertia / Motor Rotor Inertia — a quick check on how well the motor and load are matched for dynamic response and tuning.
Where do I get JM? From the motor’s datasheet, or let section 04 do it: pick a motor in the “Pick a motor” list there and this box fills with that motor’s own rotor inertia. If you have no motor yet, leave it as it is and use the section 04 shortlist, which tests each motor with its own inertia. As a rule of thumb, ratios up to 5 : 1 are comfortable for most axes. Many makers allow more, up to 10 : 1 or beyond for slow, smooth moves. Check the limit printed for the motor you buy.
Peak & RMS Torque — Trapezoidal Move
A standard accelerate / run / decelerate / dwell move cycle. T = J·α + Tload during acceleration and deceleration; only Tload applies at constant speed and during the dwell.
Don’t know the speed or the load torque? Work them out
These helpers use the load type, lead and pulley size you set in section 01, so fill that section first.
Motor speed from the speed of the load
Load torque at the motor shaft
Choosing the times
The four times come from your machine’s required cycle. For a move of distance s that must finish in time t, with equal acceleration and deceleration times, the run time is tc = s ÷ v − ta, where v is the top speed. A shorter ta means a higher peak torque, because the acceleration torque is inversely proportional to it. Start with an acceleration time of about a fifth to a third of the move time, then see how the peak and RMS torques change. Dwell is the stopped time before the next move, and it lowers the RMS torque, so enter the true figure.
A negative decel-phase torque means the load is decelerating faster than the external load alone would slow it — the motor is absorbing (regenerating) energy rather than driving. RMS torque assumes this one move repeats back-to-back; for a mixed cycle of different moves, extend the same sum-of-(T²·t) / total-time formula across all of them.
Find a Motor from Supplier Data
Shortlists real motors from the Inovance, Omron, Delta and Misumi catalogues. For each motor the tool adds its rotor inertia to the load inertia from section 01, recalculates peak and RMS torque for your move in section 03, and checks voltage, brake, speed, peak torque, RMS torque and inertia ratio. Passing motors are listed smallest first.
Check Against a Candidate Motor
Passing both checks with zero margin is not a safety margin — see the notes below on why headroom matters before finalizing a motor.
Drives and Braking Resistors
Inovance first, then Omron. The three Inovance SV660 drive families use the same power stage. Only the command interface differs, so the ratings below are the same for N, P and F. The model name is SV660 + N, P or F + the code + I, for example SV660NS012I.
Inovance drive ratings
| Drive | Frame | Power | Supply | Rated A | Max A | Built-in braking resistor | Min. external resistor |
|---|---|---|---|---|---|---|---|
| S1R6 | A | 0.2 kW | Single-phase 220 V | 1.6 | 5.8 | None built in | 40 Ω |
| S2R8 | A | 0.4 kW | Single-phase 220 V | 2.8 | 10.1 | None built in | 45 Ω |
| S5R5 | B | 0.75 kW | Single-phase 220 V | 5.5 | 16.9 | 50 Ω, 50 W | 40 Ω |
| S7R6 | C | 1 kW | Single or three-phase 220 V | 7.6 | 23 | 25 Ω, 80 W | 20 Ω |
| S012 | D | 1.5 kW | Single or three-phase 220 V | 11.6 | 32 | 25 Ω, 80 W | 15 Ω |
| T3R5 | C | 1 kW | Three-phase 380 to 440 V | 3.5 | 11 | 100 Ω, 80 W | 80 Ω |
| T5R4 | C | 1.5 kW | Three-phase 380 to 440 V | 5.4 | 14 | 100 Ω, 80 W | 60 Ω |
| T8R4 | D | 2 kW | Three-phase 380 to 440 V | 8.4 | 20 | 50 Ω, 80 W | 45 Ω |
| T012 | D | 3 kW | Three-phase 380 to 440 V | 11.9 | 29.75 | 50 Ω, 80 W | 40 Ω |
| T017 | E | 5 kW | Three-phase 380 to 440 V | 16.5 | 41.25 | 35 Ω, 100 W | 35 Ω |
| T021 | E | 6 kW | Three-phase 380 to 440 V | 20.8 | 52.12 | 35 Ω, 100 W | 25 Ω |
| T026 | E | 7.5 kW | Three-phase 380 to 440 V | 25.7 | 64.25 | 35 Ω, 100 W | 25 Ω |
The built-in resistor is the one fitted as standard. The two smallest drives have none, so use an external resistor. An external resistor must not be below the minimum value. Choose its power from the real braking duty, not from the table.
The three drive families
| SV660N | SV660P | SV660F | |
|---|---|---|---|
| Command interface | EtherCAT (CiA 402) | Pulse and analog, Modbus RS485 (CANopen and CANlink variants are also offered) | Profinet RT and IRT |
| Control modes | Position (CSP, PP, homing), speed (CSV, PV), torque (CST, PT) | Position by pulse (up to 4 Mpps differential), speed, torque, 16 internal positions | Position, speed and torque over Profinet |
| Digital I/O | 5 inputs, 2 outputs | 7 inputs, 5 outputs | See the SV660F guide |
| Motors in the guide | MS1-R | MS1 (R and Z) | MS1 (R and Z) |
| Power range | 0.05 to 7.5 kW | 0.05 to 7.5 kW | 0.05 to 7.5 kW |
All three have a 23-bit multi-turn absolute encoder input (a battery keeps the position when power is off), a 1 : 6000 speed range, inertia auto-tuning and five notch filters. Safe torque off (STO) is listed for SV660N in its guide; check the guide of the drive you order for the safety options.
Omron drives paired with the loaded motors
| Family | Drive | Supply | Rated A | Max A | Motors paired in the catalogue |
|---|---|---|---|---|---|
| 1S | R88D-1SN01H-ECT | Single or three-phase 200 to 240 V | 0.8 | 3.1 | 0.05 to 0.1 kW |
| 1S | R88D-1SN02H-ECT | Single or three-phase 200 to 240 V | 1.5 | 5.6 | 0.2 kW |
| 1S | R88D-1SN04H-ECT | Single or three-phase 200 to 240 V | 2.5 | 9.1 | 0.4 kW |
| 1S | R88D-1SN08H-ECT | Single or three-phase 200 to 240 V | 4.6 | 16.9 | 0.75 kW |
| 1S | R88D-1SN15H-ECT | Single or three-phase 200 to 240 V | 9.7 | 28.4 | 0.9 to 1.5 kW |
| 1S | R88D-1SN06F-ECT | Three-phase 380 to 480 V | 1.8 | 5.5 | 0.4 to 0.6 kW |
| 1S | R88D-1SN10F-ECT | Three-phase 380 to 480 V | 4.1 | 9.6 | 0.75 to 1 kW |
| 1S | R88D-1SN15F-ECT | Three-phase 380 to 480 V | 4.7 | 14.1 | 1.5 kW |
| 1S | R88D-1SN20F-ECT | Three-phase 380 to 480 V | 7.8 | 19.8 | 2 kW |
| 1S | R88D-1SN30F-ECT | Three-phase 380 to 480 V | 11.3 | 28.3 | 3 kW |
| 1S | R88D-1SN55F-ECT | Three-phase 380 to 480 V | 14.5 | 42.4 | 4 to 5.5 kW |
| 1S | R88D-1SN75F-ECT | Three-phase 380 to 480 V | 22.6 | 56.5 | 7.5 kW |
| 1S | R88D-1SN150F-ECT | Three-phase 380 to 480 V | 33.9 | 84.8 | 11 to 15 kW |
| 1S with safety | R88D-1SAN02H-ECT | Single or three-phase 200 to 240 V | 1.5 | 5.6 | 0.2 kW |
| 1S with safety | R88D-1SAN04H-ECT | Single or three-phase 200 to 240 V | 2.5 | 9.1 | 0.4 kW |
| 1S with safety | R88D-1SAN08H-ECT | Single or three-phase 200 to 240 V | 4.6 | 16.9 | 0.75 kW |
| 1S with safety | R88D-1SAN10H-ECT | Three-phase 200 to 240 V | 7.7 | 16.9 | 1 kW |
| 1S with safety | R88D-1SAN15H-ECT | Single or three-phase 200 to 240 V | 9.7 | 28.4 | 1.5 kW |
| 1S with safety | R88D-1SAN20H-ECT | Three-phase 200 to 240 V | 16.2 | 41 | 2 kW |
| 1S with safety | R88D-1SAN30H-ECT | Three-phase 200 to 240 V | 22.3 | 54.7 | 2.6 to 2.7 kW |
| 1S with safety | R88D-1SAN10F-ECT | Three-phase 380 to 480 V | 4.1 | 9.6 | 0.75 to 1 kW |
| 1S with safety | R88D-1SAN15F-ECT | Three-phase 380 to 480 V | 4.7 | 14.1 | 1.5 kW |
| 1S with safety | R88D-1SAN20F-ECT | Three-phase 380 to 480 V | 7.8 | 19.8 | 2 kW |
| 1S with safety | R88D-1SAN30F-ECT | Three-phase 380 to 480 V | 11.3 | 28.3 | 3 kW |
| G5 | R88D-KTA5L / KNA5L-ECT | Single-phase 100 to 120 V | 1.2 | not in the loaded pages | 0.05 kW |
| G5 | R88D-KT01L / KN01L-ECT | Single-phase 100 to 120 V | 1.7 | not in the loaded pages | 0.1 kW |
| G5 | R88D-KT02L / KN02L-ECT | Single-phase 100 to 120 V | 2.5 | not in the loaded pages | 0.2 kW |
| G5 | R88D-KT04L / KN04L-ECT | Single-phase 100 to 120 V | 4.6 | not in the loaded pages | 0.4 kW |
| G5 | R88D-KT01H / KN01H-ECT | Single or three-phase 200 to 240 V | 1.2 | not in the loaded pages | 0.05 to 0.1 kW |
| G5 | R88D-KT02H / KN02H-ECT | Single or three-phase 200 to 240 V | 1.6 | not in the loaded pages | 0.2 kW |
| G5 | R88D-KT04H / KN04H-ECT | Single or three-phase 200 to 240 V | 2.6 | not in the loaded pages | 0.4 kW |
| G5 | R88D-KT08H / KN08H-ECT | Single or three-phase 200 to 240 V | 4.1 | not in the loaded pages | 0.75 kW |
| G5 | R88D-KT10H / KN10H-ECT | Single or three-phase 200 to 240 V | 5.9 | not in the loaded pages | 1 kW |
| G5 | R88D-KT15H / KN15H-ECT | Single or three-phase 200 to 240 V | 9.4 | not in the loaded pages | 0.9 to 1.5 kW |
| G5 | R88D-KT20H / KN20H-ECT | Three-phase 200 to 230 V | 13.4 | not in the loaded pages | 2 kW |
| G5 | R88D-KT30H / KN30H-ECT | Three-phase 200 to 230 V | 18.7 | not in the loaded pages | 2 to 3 kW |
| G5 | R88D-KT50H / KN50H-ECT | Three-phase 200 to 230 V | 33 | not in the loaded pages | 3 to 5 kW |
| G5 | R88D-KT75H / KN75H-ECT | Three-phase 200 to 230 V | 44 | not in the loaded pages | 6 to 7.5 kW |
| G5 | R88D-KT150H / KN150H-ECT | Three-phase 200 to 230 V | 66.1 | not in the loaded pages | 11 to 15 kW |
| G5 | R88D-KT06F / KN06F-ECT | Three-phase 380 to 480 V | 1.5 | not in the loaded pages | 0.4 to 0.6 kW |
| G5 | R88D-KT10F / KN10F-ECT | Three-phase 380 to 480 V | 2.9 | not in the loaded pages | 0.75 to 1 kW |
| G5 | R88D-KT15F / KN15F-ECT | Three-phase 380 to 480 V | 4.7 | not in the loaded pages | 0.9 to 1.5 kW |
| G5 | R88D-KT20F / KN20F-ECT | Three-phase 380 to 480 V | 6.7 | not in the loaded pages | 2 kW |
| G5 | R88D-KT30F / KN30F-ECT | Three-phase 380 to 480 V | 9.4 | not in the loaded pages | 2 to 3 kW |
| G5 | R88D-KT50F / KN50F-ECT | Three-phase 380 to 480 V | 16.5 | not in the loaded pages | 3 to 5 kW |
| G5 | R88D-KT75F / KN75F-ECT | Three-phase 380 to 480 V | 22 | not in the loaded pages | 6 to 7.5 kW |
| G5 | R88D-KT150F / KN150F-ECT | Three-phase 380 to 480 V | 33.4 | not in the loaded pages | 11 to 15 kW |
Delta drives paired with the loaded motors
| Family | Drive | Supply | Rated A | Max A | Motors paired by the tool |
|---|---|---|---|---|---|
| ASDA-B3 | ASD-B3-0121-x | Single or three-phase 200 to 230 V | 0.9 | 3.88 | 0.05 to 0.1 kW |
| ASDA-B3 | ASD-B3-0221-x | Single or three-phase 200 to 230 V | 1.55 | 7.07 | 0.2 kW |
| ASDA-B3 | ASD-B3-0421-x | Single or three-phase 200 to 230 V | 2.65 | 10.6 | 0.4 kW |
| ASDA-B3 | ASD-B3-0721-x | Single or three-phase 200 to 230 V | 5.1 | 16.4 | 0.75 kW |
| ASDA-B3 | ASD-B3-1021-x | Single or three-phase 200 to 230 V | 7.3 | 21.21 | 1 kW |
| ASDA-B3 | ASD-B3-1521-x | Three-phase 200 to 230 V | 8.3 | 27 | 1.5 kW |
| ASDA-B3 | ASD-B3-2023-x | Three-phase 200 to 230 V | 13.4 | 38.3 | 2 kW |
| ASDA-B3 | ASD-B3-3023-x | Three-phase 200 to 230 V | 19.4 | 58.9 | 3 kW |
| ASDA-A3-EP | ASD-A3x-0443-EP | Three-phase 380 to 480 V | 1.6 | 5.4 | 0.4 kW |
| ASDA-A3-EP | ASD-A3x-0743-EP | Three-phase 380 to 480 V | 3.12 | 9.7 | 0.75 to 1 kW |
| ASDA-A3-EP | ASD-A3x-1043-EP | Three-phase 380 to 480 V | 3.52 | 10.54 | 0.85 to 1 kW |
| ASDA-A3-EP | ASD-A3x-1543-EP | Three-phase 380 to 480 V | 5.06 | 16.35 | 1.3 to 2 kW |
| ASDA-A3-EP | ASD-A3x-2043-EP | Three-phase 380 to 480 V | 6.6 | 19.88 | 1.8 to 2 kW |
| ASDA-A3-EP | ASD-A3x-3043-EP | Three-phase 380 to 480 V | 9.11 | 29.45 | 3 kW |
| ASDA-A3-EP | ASD-A3x-4543-EP | Three-phase 380 to 480 V | 13.3 | 35.35 | 4.5 kW |
| ASDA-A3-EP | ASD-A3x-5543-EP | Three-phase 380 to 480 V | 15.34 | 49.29 | 5.5 kW |
| ASDA-A3-EP | ASD-A3x-7543-EP | Three-phase 380 to 480 V | 22.4 | 56.68 | 7.5 kW |
| ASDA-A3-EP | ASD-A3x-1B43-EP | Three-phase 380 to 480 V | 27.3 | 68.25 | 11 kW |
| ASDA-A3-EP | ASD-A3x-1F43-EP | Three-phase 380 to 480 V | 31 | 80.2 | 15 kW |
Misumi drives paired with the loaded motors
| Motor series | Drive | Supply | Rated A | Max A | Motors paired |
|---|---|---|---|---|---|
| E-MASH1 (economy) | E-DFAS01P / E-DFAS01E | Single-phase 200 to 240 V | 1.2 | 3.4 | 0.1 kW |
| E-MASH1 (economy) | E-DFAS04P / E-DFAS04E | Single-phase 200 to 240 V | 3.5 | 9.5 | 0.2 to 0.4 kW |
| E-MASH1 (economy) | E-DFAS08P / E-DFAS08E | Single-phase 200 to 240 V | 5.5 | 16.6 | 0.75 kW |
| E-MASH1 (economy) | E-DFAS10P / E-DFAS10E | Single-phase 200 to 240 V | 7 | 21 | 1 kW |
| E-MASH2 (full function) | E-DHAS01P-F / E-DHAS01E-F | Single or three-phase 200 to 240 V | 1.2 | 4.8 | 0.1 kW |
| E-MASH2 (full function) | E-DHAS04P-F / E-DHAS04E-F | Single or three-phase 200 to 240 V | 2.8 | 9.3 | 0.2 to 0.4 kW |
| E-MASH2 (full function) | E-DHAS08P-F / E-DHAS08E-F | Single or three-phase 200 to 240 V | 5.5 | 16.9 | 0.75 kW |
| E-MASH2 (full function) | E-DHAS10P-F / E-DHAS10E-F | Single or three-phase 200 to 240 V | 7 | 21 | 1 kW |
| E-MASS2 (full function) | E-DHAS01P-F / E-DHAS01E-F | Single or three-phase 200 to 240 V | 1.2 | 4.8 | 0.1 kW |
| E-MASS2 (full function) | E-DHAS04P-F / E-DHAS04E-F | Single or three-phase 200 to 240 V | 2.8 | 9.3 | 0.2 to 0.4 kW |
| E-MASS2 (full function) | E-DHAS08P-F / E-DHAS08E-F | Single or three-phase 200 to 240 V | 5.5 | 16.9 | 0.75 kW |
| E-MASS2 (full function) | E-DHAS10P-F / E-DHAS10E-F | Single or three-phase 200 to 240 V | 7 | 21 | 1 kW |
The P and E in a Misumi drive name are the pulse (with RS485) and EtherCAT versions. The two versions have the same rated current. Where their maximum current differs (E-DFAS), the table and the tool show the lower figure. The 200 W motors are paired with the 400 W drive, as Misumi prints. E-DFAS is the economy range and E-DHAS the full-function range. Braking resistors for the Misumi drives are not loaded.
Delta’s catalogue lists the 400 V drive for each motor, and the tool uses it. For the 200 V motors the tool pairs the drive of the same power rating (for example 0.4 kW with the 400 W drive), which is the usual match; check the maker’s combination table before ordering. The last letter of an ASD-B3 name stands for the interface: L pulse, M CANopen, F DMCNET, E EtherCAT. The “x” in ASD-A3x stands for the same choice. Braking resistors for the Delta drives are not loaded.
Each motor in section 04 is shown with the drive Omron pairs it with in its catalogue. Some pairings are marked by Omron as a larger or smaller drive than the motor’s power (for example G5 50 W, 1 kW, 4 kW and 11 kW, and all G5 1,000 rpm motors), so use the pairing as printed. The G5 pages loaded give the drive’s continuous current only, so the maximum current shows as not loaded. 1S is the EtherCAT series with a 23-bit encoder. 1S with safety adds the STO, SS1, SS2, SOS, SLS, SLP, SDI and SBC functions (SIL 3, PL e) and has a 20-bit encoder. G5 comes as the KT (pulse or analog) and KN (EtherCAT or MECHATROLINK-II) drives, which share one power stage. Braking resistors for the Omron drives are not loaded.
Reference Tables
| Inertia Ratio (Load : Rotor) | Typical Assessment |
|---|---|
| ≤ 1 : 1 | Excellent — highest achievable dynamic response and tuning stability |
| 1 : 1 – 5 : 1 | Good — the comfortable range for most general machine building |
| 5 : 1 – 10 : 1 | Acceptable — tunable on most modern drives, verify with autotune |
| > 10 : 1 | High — increase the gear reduction, add a gearbox, or step up motor frame size |
A widely used rule-of-thumb across servo drive manufacturers, not a hard physical limit — some modern drives with advanced tuning tolerate ratios well past 10:1. Always confirm against your specific drive's tuning guide.
| Load Type | Reflected Inertia Formula |
|---|---|
| Rotary, through a gearbox | JL' = JL / N² |
| Rotary, direct-coupled | JL' = JL |
| Linear, ball screw | JL' = m · (L / 2π)² (L = lead, m/rev) |
| Linear, belt & pulley | JL' = m · r² (r = pulley pitch radius) |
Explanatory Notes
How the motor shortlist works
For each motor the tool takes your reflected load inertia and adds that motor’s rotor inertia (the braked figure if you need a brake). It then recalculates the acceleration torque, T = Jtotal × α + Tload, with the speed and times from section 03, and gets the peak and the RMS torque over the whole cycle including the dwell. A motor passes if the peak (plus margin) is under its maximum torque, the RMS (plus margin) is under its rated torque, the speed is under its maximum speed, the inertia ratio is under your limit, and the voltage and brake choices match.
Two guides, two sets of limits
The SV660N guide documents the newer MS1-R motors. The SV660P and SV660F guides (identical for motors) document MS1 motors whose maximum speed and torque are lower for some sizes, for example 3,000 rpm instead of 4,500 rpm for the 130 and 180 mm medium-inertia motors. The maker states that the maximum speed and torque of a motor vary slightly with the drive series. So the tool keeps the two sets apart: choose the family of the drive you will buy. The 40 mm models in the P and F guides are the older Z version.
What the tool leaves out
The printed torque-speed curves (the continuous and intermittent zones, and the heatsink derating curve) are not loaded. The tool checks rated and peak torque, and warns when your speed is above the rated speed. It does not apply ambient or altitude derating: the maker derates above 40 °C ambient and above 1,000 m. It does not check the drive’s maximum output current against the motor except as printed, braking energy or the regeneration limit. The MS1 motors with flying leads (“-S”) and the T-series variants are not listed separately.
Catalogue points to know
In the SV660N guide, MS1H2-20C30CB is printed with 19.1 N·m peak at 42 A, but the drive it is paired with (S012) has 32 A maximum. The P and F guides print 15.5 N·m for the same motor, and the tool uses 15.5. For a few other motors the motor’s maximum current is within about 4 % above the drive’s, which the tool ignores. Four 220 V motors of 2.5 to 5 kW and two 220 V MS1H3 motors appear in the data pages of the P and F guides, but have no drive in that guide’s selection table, so they are not loaded.
Omron: three series, three sets of limits
Omron’s 1S (R88M-1), 1S with safety (R88M-1A) and G5 (R88M-K) are kept apart because the same power does not mean the same motor. For example the 750 W, 3,000 rpm motors have rotor inertias of 1.82, 1.83 and 0.87 kg·cm² in 1S, 1S with safety and G5. Pick the series of the drive you will buy. Each motor is listed with the 24 V holding brake version and the key-and-tap shaft (S2). The order code shows the absolute-encoder, no-oil-seal model; Omron also sells incremental-encoder versions and an oil-seal version of each.
Omron: what to know about the data
The 1S motor datasheet prints no oil-seal derating, so none is applied to 1S or G5. The 1S with safety guide prints 95 %, 80 % and 90 % for the 200, 400 and 750 W motors with an oil seal, and the tool applies those. The G5 maximum speed and the 2,000 and 1,500 rpm groups were read from grouped table cells, so confirm the maximum speed of a 4 kW and larger G5 motor in the maker’s sheet. G5 15 kW prints 95.0 N·m for 200 V and 95.9 N·m for 400 V (the physical value is 95.5). Omron also prints a maximum applicable load inertia: 10 to 30 times the rotor inertia for G5, and about 10 to 22 times for the 1S with safety 200 to 750 W motors. Keep the ratio limit you choose below the maker’s. G5 flange sizes are shown for the 3,000 rpm motors only, because the other flange sizes are not in the pages loaded.
Delta: what to know about the data
The Delta B3 catalogue covers the ECM-B3 and ECM-A3 200 V motors; the ASDA-A3-EP catalogue covers the ECM-B3 400 V motors. The ASDA-A3-EP manual has no motor tables and was not used for motor data. The order code shown is a typical build (absolute encoder, keyway with oil seal, standard connector); Delta also sells other encoder, shaft and connector variants, so confirm the letters on the maker’s ordering page. The oil-seal derating is applied as printed in the rated-torque footnotes. The 400 V tables do not print the brake rotor inertia, so it is taken from the combination table, and the weight with brake for 400 V motors is not loaded. The rated and maximum speeds of four 200 V motors (ECM-B3M-C0807 and E1310, E1315, E1320) were read by hand because the table cells were merged. Motors with a 100 V supply are not loaded.
Misumi: what to know about the data
Misumi sells its own E-MASH1, E-MASH2 and E-MASS2 motors in five sizes (100 W to 1 kW, 220 V, 3,000 rpm rated). The E-MASH1 maximum speed is 6,000 rpm and the E-MASH2 and E-MASS2 figure is 6,500 rpm. The E-MASS2 has about half the rotor inertia of the E-MASH2 at the same torque, so it suits fast, light axes better. The catalogue does not print the brake holding torque, so the tool leaves it out and shows only that a brake version exists (order code with B). It also prints no oil-seal derating. The catalogue lists Mitsubishi, Panasonic and Yaskawa motors as options for Misumi actuators, but gives only model names and power for them, so they are not loaded here. They will come with those makers’ own catalogues. The E-MASH1 1 kW peak torque is printed as 11.4 N·m, against 11.14 N·m for the same-size E-MASH2, and the tool uses the printed figure for each.
Not loaded
The older Inovance ISMH motors with IS620 drives (same ratings as the MS1-Z), the ISMG servo-pump motors, the Omron 1S motors on 100 V drives, the G5 flat-type, linear and decelerator combinations, and the other brands in the strip above (Mitsubishi, Yaskawa, Siemens, Panasonic). They will be added as their catalogues are provided.
Why the inertia ratio matters before torque even enters the picture
A servo drive's tuning loop is trying to control the combined motor-plus-load inertia through the motor's own encoder — the load's inertia is invisible to the drive except through how the whole system responds. A high inertia ratio means the "tail wags the dog": the load dominates the system's dynamics, making it easy to excite mechanical resonance and hard to tune for both stiffness and stability. Fixing this after the fact (by re-gearing or changing motor frame size) is far more disruptive than sizing it right the first time.
RMS torque, not peak torque, sizes the motor's continuous rating
A motor's continuous torque rating is a thermal limit — how much heat its windings can shed indefinitely without overheating. Peak torque is only needed for the short acceleration bursts; if the RMS torque exceeds the continuous rating, the motor cooks even though it may never see the peak torque limit at any single instant. Both numbers matter, and they're sized against different limits in the datasheet.
Zero margin is not a design point
A candidate motor that just barely passes both checks above leaves nothing for an underestimated friction coefficient, a heavier-than-spec workpiece, a faster future cycle time, or winding resistance rising with temperature. A common practice is to keep continuous torque demand under roughly 70–80% of the motor's rated continuous torque, leaving headroom for exactly this kind of real-world variance — confirm the margin convention your own organization uses.
Related tools
For the shaft or coupling carrying this load, see the Shaft Design Calculator and Coupling Selection Calculator. For gear-driven axes more broadly, see the Motor & Gearbox Selector and Motor & Gearbox Output Calculator.
Sources
All motor and drive figures were read from these Inovance, Omron, Delta and Misumi documents in October 2026. They are the maker’s figures at an armature temperature of 20 °C with the maker’s heatsink, so confirm the order code and the current revision with Inovance before you order.
Motors
SV660N Series Servo Drive Selection Guide, EN-C01 (MS1-R motor data, selection table, drive ratings). SV660P Series Servo Drive Selection Guide, EN-C00, and SV660F Series Servo Drive Selection Guide, EN-A02 (MS1 motor data for the P and F drives). The MS1 series motor brochure (V0.0) and the IS620 brochure (V4.1) show the older MS1-Z data and were used only to cross-check.
Drives
The same three guides for the drive ratings, braking resistors and specifications, with the SV660 series brochure and the SV660P product overview for the family description. The IS620N and ISMH user guide (A04) covers the older IS620 drives and ISMH motors and is not loaded.
Omron motors
R88M-1 1S Series servo motor datasheet (I189E) for the 1S motor ratings, selection tables and drive pairings. AC Servo System 1S-series with Safety Functionality, R88M-1A / R88D-1SAN-ECT (I842) for the 1S with safety motors and drives. R88M-K, R88D-KT, R88D-KN catalogue pages (I816) for the G5 motor ratings and drive currents, and the G5 Series catalogue (I815) for the combination tables.
Delta
ASDA-B3 catalogue (document dated 2021-10-01) for the 200 V ECM-B3 and ECM-A3 motor ratings and ASD-B3 / ASD-A3 drive ratings. ASDA-A3-EP catalogue for the 400 V ECM-B3 motor ratings, combination table and ASD-A3-EP drive ratings. ASDA-A3-EP manual: checked, no motor data used.
Misumi
Misumi catalogue, section 06 (Stepper Motors and Servo Motors): E-MASH1 motor specifications (page 06-017), E-MASH2 and E-MASS2 motor specifications (page 06-021), and the E-DFAS and E-DHAS drive specifications (pages 06-018 to 06-024).
Omron drives
AC Servo System 1S-series catalogue (I821) for the R88D-1SN drive ratings. The 1S, 1S with safety and 1S-51 (SS1/SLS) brochures were used to cross-check the safety functions and the product range.