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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 radians) of

Asked in CBSE AIPMT 2007 · Equations of rotational motion

Answer: (1) 10

Step-by-step solution

Given: ω₀=2.00 rad s⁻¹, α=3.0 rad s⁻², t=2 s.

Idea: rotational kinematics mirrors the straight-line equations, with θ, ω and α in place of s, v and a.

θ=ω₀t+1/2α t²

ω₀t=2×2=4

1/2α t²=1/2×3×2²=6

θ=4+6=10 rad

Why the other options are wrong

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