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JEE Main 2022 (30 Jun, Shift 1) · Angular Variables

Angular Variables question from JEE Main 2022 (30 Jun, Shift 1)

Q29JEE Main 2022 · 30 JUN · SHIFT 1Medium

Angular Variables

A person starts his journey from centre 'O' of the park and comes back to the same position following path OPQO as shown in the figure. The radius of path taken by the person is 200 m and he takes 3 min 58 sec to complete his journey. The average speed of the person is _____________ ms−1{}^{-1}. (take π\pi = 3.14)

Figure

Numerical answer type. Work it out, then open the answer.

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Answer: 3

  1. Path: OP=rOP = r, arc PQPQ = quarter circle =πr2= \frac{\pi r}{2}, QO=rQO = r.
  2. Distance =2r+πr2=400+314=714= 2r + \frac{\pi r}{2} = 400 + 314 = 714 m.
  3. Time =3= 3 min 5858 s =238= 238 s.
  4. Average speed =714/238=3= 714/238 = 3 m/s.
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