Physics Rotational & Circular Motion SZABMU 2022
PMDC Verified Question 55 of 95
Which one of the following is angular speed in radian per hour for daily rotation of our earth?
A
\( 2\pi \)
B
\( 4\pi \)
C
\( \frac{\pi}{6} \)
D
\( \frac{\pi}{12} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \( \frac{\pi}{12} \)
Concept:

Angular speed is the angle swept out over time. Earth rotates once completely every 24 hours.

Formula:

$$ \omega = \frac{\theta}{t} $$

Solution:

  • A full rotation is \( 2\pi \text{ radians} \).
  • The time taken is \( 24 \text{ hours} \).
  • Divide the two: \( \omega = \frac{2\pi}{24} \).
  • Simplify the fraction: \( \omega = \frac{\pi}{12} \text{ rad/hr} \).


Why other options are incorrect:

  • Option C would represent an Earth that rotates fully in 12 hours.
  • Option A and Option B are entirely wrong scales, forgetting to divide by the hour count.

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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