NEET Physics · Hard

System of Particles & Rotational Motion: Angular Kinematics MCQ

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Angular KinematicsHardQuestion 6109

Question

A wheel (initial ω = 10 rad/s, α = −2 rad/s²). Number of revolutions before stopping:
  1. A
    25 rad
  2. B
    25/π revolutions
    Correct
  3. C
    50/π revolutions
  4. D
    25π revolutions

Correct answer

25/π revolutions

Explanation

ω² = ω₀² + 2αθ. 0 = 100 − 4θ. θ = 25 rad. Revolutions = 25/2π ≈ 25/π... actually 25/(2π) revolutions.