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Free preliminary sizing tool

Servo RMS torque calculator

Calculate time-weighted RMS torque, peak magnitude and cycle time from torque-and-time segments. Carry the figures into a motor sizing enquiry.

No registration is needed to calculate. Review the method, assumptions and worked example before using the figures.

Enter your calculation inputs

The initial values are an illustrative example. Replace them with your application figures. Calculations run in your browser and do not contact an AI service.

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Method and assumptions

T_RMS = √(Σ(T² × t) / Σt)

Enter the total motor-shaft torque for each segment, including any gravity or process load during dwells. Negative torque is allowed and is squared in the thermal calculation. Include the complete repeating cycle. This tool combines supplied torques; it does not calculate them from a mechanism.

Illustrative worked example

Illustrative cycle: 2 Nm for 1 s, 1 Nm for 2 s and 0 Nm for 1 s gives √(6/4) = 1.2247 Nm RMS, 2 Nm peak magnitude and a 4 s cycle. A dwell under load must use the holding torque, not zero.

What the result does not establish

RMS torque is a preliminary duty calculation. It does not check the torque-speed curve, peak duration, drive current, motor losses, cooling or inertia ratio. It does not select or approve a motor.

These are general preliminary calculations, not an engineer-approved design, customer case study or product recommendation. Use the exact manufacturer's ratings and installation conditions for final selection.

Yaskawa: servo sizing core concepts · Motor sizing support

Pricing and availability

Ask for a component selection using these figures

Send us a part number, or tell us what the machine needs to do. Our UK engineers will come back with the right product, pricing, lead time and delivery, whether that is the original part, a checked alternative or a complete axis.

  • Original parts or a checked alternative
  • Pricing, lead time and delivery in one reply
  • Components, complete axes and ongoing support

No obligation. Add what you know and an engineer will help with the rest. Prefer to configure it? Build a specification.

Add quantity, timing or application notes (optional)

Spec builder

Build your specification

Select every part you need and answer the questions an applications engineer would ask. Our engineers use your specification to come back with the right products, pricing and lead times. You see your summary before we ask for any details.

Already know the part number? Send it to us directly.

  1. 1Products
  2. 2Performance
  3. 3Environment
  4. 4Volumes
  5. 5Your spec
Step 1 of 5

What are you specifying?

Select everything you need. A motor, drive and gearbox can be specified together as one axis.

Select one or more products

How it works

From enquiry to delivery

Send a part number or describe the application. Our engineers take it from there: the right product, a clear quotation, and delivery and support arranged.

  1. Tell us what you needSend a part number, or configure the application, quantities and timing.
  2. An engineer reviews itWe check the specification and find the original part, a checked equivalent or a complete axis.
  3. Receive your quotationProducts, pricing, lead time and compatibility notes in one reply.
  4. Order and deliveryWhen you are happy, the order is placed and delivery and after-sales support are arranged.