Which one of the following is most likely not a case of uniform circular motion?
(a) motion of the earth around the sun
(b) motion of a toy train on a circular track
(c) motion of a racing car on a circular track
(d) motion of hours' hand on the dial of a clock
An object moving in uniform circular motion is moving in a circle with a uniform or constant speed. The velocity vector is constant in magnitude but changing in direction.
The tip of a hours' hand of a clock exhibits uniform circular motion on the circular dial of the clock.
The movement of the earth around the sun is also a uniform circular motion.
Similarly, the motion of a toy train on a circular track is also a uniform circular motion since its speed remains constant.
The motion of a racing car on a circular track changes its speed, that is, it increases or decreases speed during the drive which is not a case of uniform circular motion.
Hence option (c) is correct.