Angular KinematicsHardQuestion 6109
Question
A wheel (initial ω = 10 rad/s, α = −2 rad/s²). Number of revolutions before stopping:
- A25 rad
- B25/π revolutionsCorrect
- C50/π revolutions
- D25π 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.