A 10 hp, 60 Hz, 2 pole, 440 volt (line-to-line), three-phase induction motor operates at 3240 rpm at the full load power output of 10 hp. (a) What is the mechanical synchronous speed in rad/sec and in rpm

i. 3600 rpm ii. 377 rad/s

Explanation:

(a) What is the mechanical synchronous speed in rad/sec and in rpm

i. The mechanical synchronous speed in rpm

The mechanical synchronous speed in rpm, N = 120f/P where f = frequency = 60 Hz and P = number of poles = 2

So, N = 120f/P = 120 × 60 Hz/2 = 60 × 60 = 3600 rpm

ii. The mechanical synchronous speed in rad/s

We now convert N to rad/s by multiplying by 2π/60

So, the mechanical synchronous speed in rad/s , N' = 3600 rpm × 2π/60 = 60 × 2π = 120π rad/s = 377 rad/s

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explanation: