Which of the following formulas represents velocity for an object in circular motion?

The formula that accurately represents the velocity of an object in circular motion is derived from its circular path and the distance traveled in that path. In circular motion, an object travels along the circumference of a circle, which is given by the formula (2\pi R) where (R) is the radius.

To find the velocity, we need to consider the relationship between the distance traveled and the time taken. The correct formula for velocity (v) in this context becomes:

[

v = \frac{\text{distance}}{\text{time}} = \frac{2\pi R}{T}

]

where (T) is the period or time taken to complete one full rotation. However, in the context of your question, if the term (d) represents the time period of rotation, it aligns well with the standard velocity representation in circular motion.

Thus, option B correctly captures the essence of calculating velocity in a circular path, emphasizing the distance traveled during the object's motion around the circumference divided by the time taken, inherently reflecting the relationship established in circular dynamics.