Shaft Power
P = T × ωLast updated:
Calculate motor power, torque, and current requirements for industrial applications. Includes starting analysis, efficiency calculations, and VFD considerations for AC induction motors.
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Industrial Engineering
Select the right motor power, torque rating, and drive configuration for industrial, HVAC, and process applications.
Power Formula
P = T × ω
Torque
T = 9550P/n
Efficiency
85–97% IE class
Conversion
1 HP = 0.746 kW
Reviewed by: CalculatorApp Mechanical & Electrical Engineering Team
Motor sizing matches the mechanical power and torque requirements of a driven load to an electric motor that delivers reliable performance at optimal efficiency. Under-sized motors overheat and fail; over-sized motors waste energy and carry excess capital cost. Proper sizing accounts for duty cycle, starting conditions, ambient temperature, and future load growth.
Shaft Power
P = T × ωTorque (rpm)
T = 9550 × P/nFull Load Current
I = P / (√3 V PF η)HP to kW
1 HP = 0.746 kW| Motor Type | Efficiency | Best Application |
|---|---|---|
| AC Induction (SCIM) | IE2-IE4 | Pumps, fans, conveyors |
| Permanent Magnet Synchronous | IE4-IE5 | High efficiency variable speed |
| BLDC / EC Motor | IE4+ | HVAC, appliances, robotics |
| Servo Motor | High (dynamic) | Precision positioning, CNC |
1821: Faraday demonstrates electromagnetic rotation — the principle behind electric motors.
1888: Tesla patents the polyphase AC induction motor, enabling scalable industrial power.
1891: 3-phase power transmission demonstrated at Frankfurt International Exhibition.
1960s: NEMA standardizes motor frame sizes for interchangeability across manufacturers.
1987: IEC 34-1 introduces efficiency classification (IE1-IE4) for global standardization.
2000s+: VFDs become standard for energy-efficient variable-speed industrial motor control.
Global motor energy efficiency policy and analysis.
North American motor standards and specifications.
International electrotechnical motor efficiency standards.
US Dept of Energy industrial motor efficiency resources.
Myth: Bigger motor always means better reliability.
Fact: Oversized motors run at low efficiency and poor power factor, increasing operating costs.
Myth: Nameplate kW is the power consumed at all loads.
Fact: Actual consumption depends on load; lightly loaded motors draw much less than nameplate.
Myth: VFDs are only for energy saving.
Fact: VFDs also improve process control, extend equipment life, and reduce mechanical stress.
Myth: Motor efficiency is the same at all speeds.
Fact: Efficiency peaks near rated load (75-100%); it drops significantly at light loads.
Motor sizing determines the correct power, torque, and speed ratings for a motor to handle a given mechanical load reliably and efficiently.
Oversized motors run at low load factors, reducing efficiency and power factor, increasing energy costs and reactive power demand.
T = P / ω — divide power in watts by angular velocity in rad/s. For rpm: T = 9550 × P(kW) / n(rpm).
A multiplier (typically 1.0 to 1.5) applied to nameplate rating to allow for temporary overloads without damage.
Variable frequency drives are ideal for variable torque loads like fans and pumps where speed control saves significant energy.
IE3 is premium efficiency (IEC standard); IE2 is high efficiency. IE3 reduces energy losses by 15–20% vs IE2 at same rating.
DOL starting draws 6-8x full load current. Oversizing protection and cable is required for inrush.
NEMA or IEC frames define mounting dimensions and shaft sizes; frame is selected based on power and speed rating.
1 HP = 0.746 kW. Multiply horsepower by 0.746 to get kilowatts.
FLC = P / (1.732 × V × PF × η) for three-phase motors; used to size cables and protection devices.
Continuous duty (S1) requires full thermal rating; intermittent or periodic duty cycles allow smaller motors.
Motors are typically rated for 40°C ambient. Higher temperatures derate the motor; use a de-rating factor.
Combine motor sizing with torque, pipe flow, and gear ratio calculators for complete drive and mechanical system design.
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