A disc is having an initial angular velocity of 4rad/sec and angular acceleration of 8rad/sec2. Find the angle rotated (in radian) by disc in 3sec.
A
48rad
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B
36rad
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C
12rad
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D
24rad
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Solution
The correct option is A48rad Given, Initial angular speed, ωo=4rad/sec Angular acceleration, α=8rad/sec2, t=3sec Using the equation of the angular displacement, θ=ωot+12×αt2 =4×3+12×8×32 =48rad