## Sync Speed

If a 2 pole AC motor has a synchronous speed of 3,600 rpm, what is its line voltage frequency in Hz?

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__
__**Expand Hint**

**Expand Hint**

Synchronous speed is the speed of the magnetic field rotation produced by an induction motor’s stator (stationary part of a rotary system), which is always constant once the hardware is designed (assuming you don’t go to another country with a different electrical supply frequency standard).

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__**Hint 2**

**Hint 2**

The synchronous speed for an AC motor is:

$$$n_s=\frac{(60)f}{(p/2)}$$$

where
$$f$$
is the line voltage frequency, and
$$p$$
is the number of magnetic poles.

Synchronous speed is the speed of the magnetic field rotation produced by an induction motor’s stator (stationary part of a rotary system), which is always constant once the hardware is designed (assuming you don’t go to another country with a different electrical supply frequency standard). The synchronous speed for an AC motor is:

$$$n_s=\frac{(60)f}{(p/2)}$$$

where
$$f$$
is the line voltage frequency, and
$$p$$
is the number of magnetic poles. Note in the equation, multiplying the frequency by 60 converts hertz to rotations per minute (rpm). Thus,

$$$3,600rpm=\frac{(60)f}{(2/2)}$$$

$$$f=\frac{3,600(1)}{60}=60\:Hz$$$

60 Hz

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302. Synchronous Speed

397. Induction Motor

401. Motor Slip

405. Motor Poles

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500. Mechanical Power

502. Machine Efficiency

505. Input Power

508. Generator Efficiency