Even a tidally-locked planet still rotates. The moon is tidally locked to the earth, but it rotates. Tidal locking simply means that the body rotates at the same rate that it revolves. So the Coriolis effect is simply as strong as the speed of rotation. Whether tidal locking is present or not is irrelevant.
It often amuses me that people still believe the daft myth that the Coriolis effect determines the direction in which water swirls when leaving the bath - as if one side of the bath is significantly further from the equator than the other side! The Coriolis effect affects large systems such as hurricanes or ocean currents, but not little things like that - as I've been able to establish for myself, living in both Britain and New Zealand. There was of course an episode of "The Simpsons" that featured the Coriolis effect determining plughole direction (even, impossibly, suggesting that putting your hand in and swooshing the water the other way cannot overcome the mighty Coriolis effect) - but this episode also featured herbivorous frogs, suggesting that the show's scientific advisers had evidently gone completely on holiday that week!
It often amuses me that people still believe the daft myth that the Coriolis effect determines the direction in which water swirls when leaving the bath - as if one side of the bath is significantly further from the equator than the other side! The Coriolis effect affects large systems such as hurricanes or ocean currents, but not little things like that - as I've been able to establish for myself, living in both Britain and New Zealand. There was of course an episode of "The Simpsons" that featured the Coriolis effect determining plughole direction (even, impossibly, suggesting that putting your hand in and swooshing the water the other way cannot overcome the mighty Coriolis effect) - but this episode also featured herbivorous frogs, suggesting that the show's scientific advisers had evidently gone completely on holiday that week!