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6. system of particles and rotational motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics6. system of particles and rotational motion1 Mark
MCQ
A body rotates about a fixed axis with an angular acceleration of $3 \,rad / s ^2$. The angle rotated by it during the time when its angular velocity increases from $10 \,rad / s$ to $20 \,rad / s$ (in radian) is ..........
  • ✓
    $50$
  • B
    $100$
  • C
    $150$
  • D
    $200$
✓

Answer

Correct option: A.
$50$
a
(a)

Given $\alpha = 3$

$w_2^2=w_1^2+2 \alpha \theta$

$\Rightarrow (20)^2=(10)^2+2 \times 3 \theta$

$\Rightarrow \frac{300}{6}=\theta$

$\Rightarrow \theta=50 \text { radian. }$

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