A particle revolving in a circular path travels the first half of the circumference in 4 s and the next half…

A particle revolving in a circular path travels the first half of the circumference in 4 s and the next half in 2 s . What is its average angular velocity?
  1. $\frac{4 \pi}{9} \mathrm{rad} / \mathrm{s}$
  2. $\frac{\pi}{6} \mathrm{rad} / \mathrm{s}$
  3. $\frac{2 \pi}{3} \mathrm{rad} / \mathrm{s}$
  4. $\frac{\pi}{3}$

Solution

Average angular velocity $(\omega)=\frac{\mathrm{O}_{\text {total }}}{\mathrm{t}_{\text {total }}}=\frac{2 \pi}{4+2}=\frac{\pi}{3} \mathrm{rad} / \mathrm{s}$

Asked in: AP EAMCET 2024 (20 May Shift 2)

Practice more Motion In Two Dimensions questions on Aicharya