Rated Torque of Induction Motor Calculator

Estimate rated torque using motor data and options. Compare speed, slip, efficiency, and service factor. Download clean reports for electrical checks and maintenance records.

Calculator Inputs

Formula Used

Rated torque from mechanical output:

T = P / ω

ω = 2πn / 60

T = 9550 × P(kW) / n(rpm)

Where T is torque in N·m, P is output power, ω is angular speed, and n is shaft speed in rpm.

Three phase input estimate:

Pinput = √3 × V × I × PF

Pout = Pinput × η

Single phase input estimate:

Pinput = V × I × PF

Synchronous speed and slip:

Ns = 120 × f / poles

N = Ns × (1 − slip / 100)

Gear output torque:

Tgear = Tmotor × gear ratio × gear efficiency

How to Use This Calculator

  1. Select whether power comes from nameplate output power or electrical input readings.
  2. Enter rated power, voltage, current, power factor, and efficiency as needed.
  3. Choose measured speed or calculate speed from frequency, poles, and slip.
  4. Add service factor, overload allowance, and gear ratio when required.
  5. Press Calculate to show the rated torque below the header.
  6. Use CSV or PDF buttons to download the calculated report.

Example Data Table

Motor Power Speed Formula Rated Torque Common Use
5.5 kW 1450 rpm 9550 × 5.5 / 1450 36.22 N·m Pump
11 kW 1470 rpm 9550 × 11 / 1470 71.46 N·m Fan
15 kW 1450 rpm 9550 × 15 / 1450 98.79 N·m Conveyor
30 kW 970 rpm 9550 × 30 / 970 295.36 N·m Mixer

Rated Torque Basics

Rated torque is the turning effort a motor can deliver at its rated output speed. It links mechanical power with shaft speed. A higher power motor may still have low torque when it runs fast. A slower motor can deliver more torque from the same power rating. This is why speed must always be checked with the nameplate power.

Why It Matters

Induction motors are used on pumps, conveyors, fans, mixers, hoists, and machine tools. Each load needs enough torque to start, accelerate, and run. Rated torque is mainly a running value. It should not be confused with starting torque, breakdown torque, or locked rotor torque. Those values describe short conditions. Rated torque describes continuous output under normal cooling and supply conditions.

Speed and Slip

The synchronous speed depends on frequency and poles. Real induction motors run slightly slower. This difference is called slip. At rated load, slip creates rotor current and useful torque. Too much slip can mean overload, low voltage, poor sizing, or mechanical binding. Too little slip may happen at light load. The calculator can use measured speed or estimate speed from slip.

Using Electrical Input

When nameplate output power is unknown, input voltage, current, power factor, and efficiency can estimate output power. Three phase power uses the square root of three. Single phase power uses voltage times current. Efficiency converts input watts to shaft watts. This estimate depends on accurate field readings.

Design Practice

Select a motor with rated torque above the required running torque. Add service factor only when the motor nameplate allows it. Use overload allowance carefully. Heat rises quickly when motors run above rating. Gearboxes change torque and speed together. A reduction gearbox increases output torque, but losses reduce the final value.

Final Check

Torque calculation is simple, yet the decision is practical. Verify duty cycle, ambient temperature, enclosure, altitude, supply balance, and starting method. Also check belt tension and coupling alignment. Good motor selection lowers trips, noise, heat, and maintenance cost.

Record Keeping

Keep every calculation with the job notes. Record assumptions, units, and measured readings. This makes audits easier. It also helps another technician repeat the result before replacing a motor or changing a drive in service safely.

FAQs

What is rated torque in an induction motor?

Rated torque is the continuous shaft torque available at rated output power and rated speed. It is normally based on nameplate power and full load speed.

Which formula gives motor rated torque?

Use T = 9550 × P / n. P is output power in kilowatts. n is shaft speed in rpm. The result is torque in N·m.

Can I calculate torque from horsepower?

Yes. Convert horsepower to kilowatts first. One mechanical horsepower is about 0.7457 kW. Then use the torque formula with motor speed.

Does slip affect torque calculation?

Slip affects the actual rotor speed. Since torque depends on speed, calculated torque changes when speed is estimated from synchronous speed and slip.

Is rated torque the same as starting torque?

No. Rated torque is continuous running torque. Starting torque is available at standstill and is usually listed separately in motor performance data.

Why does a slower motor produce more torque?

For the same power, lower speed means higher torque. Power equals torque multiplied by angular speed, so torque rises when speed falls.

Can this calculator use electrical readings?

Yes. It can estimate shaft power from voltage, current, power factor, and efficiency. Accurate field readings improve the estimate.

Should I use service factor torque for design?

Use it carefully. Service factor may allow short operating margin, but continuous overload increases heat. Always confirm nameplate limits and duty conditions.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.