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    Construction & Electrical

    AC motor synchronous speed calculator

    About this tool

    The rotating magnetic field of an AC motor has a synchronous speed set by the electrical frequency and the number of magnetic poles. The formula is rpm = 120 × frequency (Hz) ÷ poles. This tool also displays electrical cycles per minute and the number of pole pairs. It estimates field speed, not the actual loaded shaft rpm of an induction motor, which runs slightly slower because of slip.

    Motor speed & shaft torque

    Choose a task. Inputs stay in this page only.

    MAKE IT SIMPLE
    Formula assumptions and scope

    Induction motors run below synchronous speed due to slip; poles must be even.

    Result

    Worked examples

    60 Hz; 4 poles

    Synchronous speed 1,800 rpm; 3,600 cycles/min; 2 pole pairs

    120 × 60 ÷ 4 = 1,800 rpm. A four-pole induction motor generally runs below this under load.

    50 Hz; 6 poles

    Synchronous speed 1,000 rpm; 3,000 cycles/min; 3 pole pairs

    120 × 50 ÷ 6 = 1,000 rpm. Changing pole count or frequency changes the rotating-field speed.

    Questions & answers

    Why is the nameplate rpm lower than this result?

    For an induction motor, slip is required to produce torque; the rotor commonly turns below the rotating field's synchronous speed.

    What frequency should I enter for a VFD-fed motor?

    Use the drive's actual output electrical frequency at the operating point, not necessarily the fixed utility mains frequency.

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