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Since θ = ω₀t + 1/2 αt², where α is angular acceleration, ω₀ is the initial angular speed, calculate θ for t = 2s.

1. θ = 2 × 2 + 1/2 × 3(2)²
2. θ = 4 + 6 = 10 rad
3. None of these
4. All of these

Correct answer: θ = 4 + 6 = 10 rad

Solution

The equation θ = ω₀t + 1/2 αt² is used to calculate angular displacement. Substituting t = 2s, ω₀ = 2 rad/s, and α = 3 rad/s², we get θ = 2(2) + 1/2(3)(2²) = 4 + 6 = 10 rad. Thus, option B is correct.

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