A circular loop of area \(5~\text{mm}^2\) is placed coaxially inside a long solenoid that has 1000 turns/cm and carries a sinusoidally varying current of amplitude 1 A and angular frequency \(\omega\). If the amplitude of the emf induced in the loop is \(4.4 \times 10^{-4}~\text{V}\), then the value of \(\omega\) is: