Question

A particle completes 2 revolutions in a circular path of radius 3 cm. The angular displacement of the particle will be (in radian)

• A. \(π\)
• B. \(2π\)
• C. \(3π\)
• D. \(4π\)

Hint:

One revolution is 2 pi radians; the radius does not matter.

Answer 1

The Correct Option is D

Step 1: Approach
Convert turns to degrees and then to radians.

Step 2: Convert
Two revolutions is $2\times360^\circ=720^\circ$. Since $180^\circ=\pi$ rad, $720^\circ=4\pi$ rad.

Step 3: Answer
The angular displacement is $4\pi$ rad, option (D). The radius is a distractor.

Final Answer:
Two revolutions sweep 4 pi radians, option (D). \[ \boxed{4\pi} \]