Comprehensions type questions. A particle is moving in a...

Comprehensions type questions. A particle is moving in a circle of radius $R$ with constant speed. The time period of the particle is T Now after time $\mathrm{t}=(\mathrm{T} / 6)$ Average velocity of the particle is (A) $(3 \mathrm{R} / \mathrm{T})$ (B) $(6 \mathrm{R} / \mathrm{T})$ (C) $(2 \mathrm{R} / \mathrm{T})$ (D) $(4 \mathrm{R} / \mathrm{T})$

Comprehensions type questions. A particle is moving in a circle of radius $R$ with constant speed. The time period of the particle is T Now after time $\mathrm{t}=(\mathrm{T} / 6)$
Average velocity of the particle is
(A) $(3 \mathrm{R} / \mathrm{T})$
(B) $(6 \mathrm{R} / \mathrm{T})$
(C) $(2 \mathrm{R} / \mathrm{T})$
(D) $(4 \mathrm{R} / \mathrm{T})$

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Key Concepts

Circular Motion

Circular motion refers to the movement of an object along the circumference of a circle. It is a common topic in mechanics that involves understanding the relationship between speed, radius, and angular quantities such as angular speed and angular displacement.

Angular Displacement

Angular displacement is the measure of the angle through which an object moves on a circular path. It is closely linked to the time taken for motion and helps in calculating the position of a particle along a circular trajectory after a given time.

Displacement in Curved Motion

In the context of circular motion, displacement is defined as the straight-line distance from the initial to the final position of the object, not the length of the arc traversed. This concept is essential in distinguishing between the total path length traveled and the net change in position.

Average Velocity

Average velocity is defined as the displacement of an object divided by the time interval during which the displacement occurred. In problems involving circular motion, it is crucial to use the displacement (chord length) rather than the arc length to determine the average velocity.

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