Generally gyroscopes are able to measure a constant rotation rate, while rate sensors also include devices with a low cut off frequency that is other than zero.
2.
A Band-pass filter showing the centre frequency ( Fc ), the lower ( F1 ) and upper ( F2 ) cut off frequencies and the bandwidth.
3.
While an ideal low-pass filter would perfectly pass frequencies below 20 kHz ( without attenuating them ) and perfectly cut off frequencies above 20 kHz, in practice a transition band is necessary, where frequencies are partly attenuated.