Rotational-rate sensor

A rotational-rate sensor is provided which includes a detecting element, a circuit portion, an airtight container and an elastic body, in which: the synthetic resonance-frequency of amachine system of the rotational-rate sensor and the frequency of an applied rotational rate which corresponds to the difference between the resonance frequency in the direction where the detecting element is driven and the resonance frequency of the detecting element in the direction where the detecting element detects a rotational rate, are each lower than each of the resonance frequency in the direction where the detecting element is driven and the resonance frequency in the direction where the detecting element detects a rotational rate; and the cut-off frequency of the low-pass filter in the circuit portion is lower than each of the synthetic resonance-frequency and the frequency of the applied rotational rate.