1. Tardigrade
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  3. Physics
  4. A particle rotates along a circle of radius R =√2 m with an angular acceleration α=(π/4) rad / s 2 starting from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle.

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Q. A particle rotates along a circle of radius $R =\sqrt{2} m$ with an angular acceleration $\alpha=\frac{\pi}{4} rad / s ^{2}$ starting from rest. Calculate the magnitude of average velocity of the particle over the time it rotates a quarter circle.

Motion in a Plane

Solution:

$v_{a v}=\frac{\sqrt{2} R}{t}$
$t=\sqrt{\frac{2(\pi / 2)}{\pi / 4}}=2 s$
$v _{ ev }=1 m / s$