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Post-UTME Physics 2010 Objective — Question 3

Question 3 of 12 from the Post-UTME Screening (Post-UTME) Physics 2010 Objective paper, with the correct answer and a full explanation.

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A stone whirled at the end of a rope 35cm long, makes 15 complete revolutions in 4 seconds. Find the angular velocity in radians per second.

  • A. 23.6rad/s
  • B. 31.4rad/sCorrect
  • C. 824.7rad/s
  • D. 942.0rad/s

Explanation

Angular velocity = 2*pi*revolutions/time = 2*pi*15/4 = 23.56... actually = (15x2xpi)/4 = 23.6rad/s is closest; recalculating carefully: omega = 2*pi*f = 2*pi*(15/4) = 23.56rad/s, matching option A as the closer value upon recheck.

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