Physics Rotational & Circular Motion ETEA 2023
PMDC Verified Question 37 of 95
The angular speed of the second hand of a watch is:
A
\( \left( \frac{\pi}{1800} \right) \text{ rad/sec} \)
B
\( \left( \frac{\pi}{60} \right) \text{ rad/sec} \)
C
\( \left( \frac{\pi}{30} \right) \text{ rad/sec} \)
D
\( (2\pi) \text{ rad/sec} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( \left( \frac{\pi}{30} \right) \text{ rad/sec} \)
Concept:

The second hand of a clock sweeps a complete circle exactly once every minute.

Formula:

$$ \omega = \frac{2\pi}{T} $$

Solution:

  • The time period \( T \) for a second hand is 60 seconds.
  • A full circle is \( 2\pi \text{ radians} \).
  • Substitute into the formula: \( \omega = \frac{2\pi}{60} \).
  • Simplify the fraction: \( \omega = \frac{\pi}{30} \text{ rad/sec} \).


Why other options are incorrect:

  • Option A is the angular speed of the hour hand.
  • Option B represents an object that takes 120 seconds to make a revolution.
  • Option D represents an object making a full revolution every 1 second.

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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