The correct answer is C. Rotary and translatory.
A bicycle wheel is a rotating object that also moves in a straight line. This type of motion is called rotary and translatory motion. The wheel rotates around its axle, and the axle moves in a straight line. This type of motion is what allows a bicycle to move forward.
Option A is incorrect because the motion of a bicycle wheel is not purely translatory. The wheel does move in a straight line, but it also rotates around its axle.
Option B is incorrect because the motion of a bicycle wheel is not purely rotary. The wheel does rotate around its axle, but it also moves in a straight line.
Option D is incorrect because the motion of a bicycle wheel is not curvilinear. The wheel does move in a curved path, but this path is the result of the wheel’s rotary and translatory motion.