Given f (derived from the filter value) and q (given), you need to solve the following equation to get the cutoff frequency:
abs(H(f, q, w)) = -3.0 dB
where H is the filter transfer function and w is the normalized digital frequency (with 1.0 corresponding to the Nyquist frequency of 22050 Hz). In other words, the cutoff frequency will be 22050 * w.
For this particular filter, the transfer function is:
H(f, q, w) = f / (1 - (1 - f + q)*z + q*z*z)
where z is the point on the unit circle in the complex plane at angle -pi*w: