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AP EAMCET · PHYSICS · Motion In Two Dimensions

A flywheel is rotating at a rate of \(150 \mathrm{rev} / \mathrm{minute}\). If it slows at constant retardation of \(\pi \mathrm{rads}^{-2}\), then the time required for the wheel to come to rest is

  1. A \(2.5 \mathrm{~s}\)
  2. B \(5 \mathrm{~s}\)
  3. C \(4 \mathrm{~s}\)
  4. D \(6 \mathrm{~s}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \mathrm{~s}\)

Step-by-step Solution

Detailed explanation

Angular velocity of flywheel, \(\omega=150\) \(\mathrm{rev} /\) minute \(=\frac{150 \times 2 \pi}{60}\) \(=5 \pi \mathrm{Rad} / \mathrm{s}\) Angular acceleration, \(\alpha=\pi \mathrm{rad} / \mathrm{s}^2\) \(\omega=\omega_0+\alpha t\) The time required far the wheel to come to…