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Rotational Motion question

2007 · Q138
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Rotational Motion question

2007 · Q138

NEETPhysicsRotational MotionMCQ+4 / −1
A wheel has angular acceleration of 3.0 rad/sec2 and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has rotated through an angle (in radian) of
  1. A
    10
  2. B
    12
  3. C
    4
  4. D
    6
View written solutionFree

Correct answer: A

Given: Angular acceleration, α\alpha α = 3 rad/sec2
Initial angular velocity ωi{\omega _i}ωi​ = 2 rad/sec

Time t = 2 sec

Using, θ=ωit+12αt2\theta = {\omega _i}t + {1 \over 2}\alpha {t^2}θ=ωi​t+21​αt2

∴\therefore∴ θ=2×2+12×3×4=4+6=10 \theta = 2 \times 2 + {1 \over 2} \times 3 \times 4 = 4 + 6 = 10\,θ=2×2+21​×3×4=4+6=10 radian.

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