Physics Rotational & Circular Motion MDCAT 2009
PMDC Verified Question 94 of 95
Linear velocity or tangential velocity of any particle moving in a circular path of radius \( 2 \text{ m} \) with angular velocity \( 8 \text{ rad s}^{-1} \) will be:
A
\( 16 \text{ ms}^{-1} \)
B
\( 10 \text{ ms}^{-1} \)
C
\( 4 \text{ ms}^{-1} \)
D
\( 6 \text{ ms}^{-1} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( 16 \text{ ms}^{-1} \)
Concept:

Linear (tangential) velocity is directly proportional to both the angular velocity of the object and the radius of its circular path.

Formula:

$$ v = r\omega $$

Solution:

  • Given radius \( r = 2 \text{ m} \).
  • Given angular velocity \( \omega = 8 \text{ rad s}^{-1} \).
  • Multiply the two: \( v = 2 \times 8 = 16 \text{ ms}^{-1} \).


Why other options are incorrect:

  • Option B, Option C, Option D result from incorrect arithmetic operations (like addition, subtraction, or division instead of multiplication).

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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