An ant crawls with a velocity on a turntable in the z, y plane that is turning with an angular speed ω in the counterclockwise direction.

(a) what is the rotation vector of the turntable?
(b) what is the vector describing the coriolis force if the ant is moving in the +r direction (in cylindrical polar coordinates) from a radius ro?
(c) what is the vector describing the coriolis force if the the ant moves tangentially to the turntable, that is, v=vф, from a radius ro?
(d) what is the vector describing the coriolis force if the the ant climbs vertically along a tube on the turntable, that is, v= vz, from a radius ro?