The question of why rotating detectors may respond even in the appropriate
vacuum defined via canonical quantization has been a puzzle. We solve this
puzzle by taking the recoil of the detector into account. The influence of
the recoil, even in the limit of an infinite mass detector, appears in the
response function. This enables the detector to respond in the vacuum if it
is rotating, though in linear uniform motion it never responds in the vacu
um, as is expected from Poincare invariance.