A wheel initially at rest, begins to rotate about its axis with constant angular acceleration. If it rotates through an angle θ₁ in first 2 s and a further angle θ₂ in the next 2 s, the ratio θ₁: θ₂ is (a) 1: 6 (b) 6: 1 (c) 3: 1 (d) 1: 3

Answer: (d). From rest: θ = 1/2α t². θ₁ = 1/2α(2)² = 2α; total in 4 s = 1/2α(4)² = 8α. θ₂ = 8α - 2α = 6α So the answer is (d) 1: 3.

A wheel initially at rest, begins to rotate about its axis with… | MHT CET 2025 (20 Apr, Shift 2)

Q6MHT CET 2025 · 20 APR · SHIFT 2Easy

Non-Uniform Circular Motion

A wheel initially at rest, begins to rotate about its axis with constant angular acceleration. If it rotates through an angle $\theta_1$ in first 2 s and a further angle $\theta_2$ in the next 2 s, the ratio $\theta_1 : \theta_2$ is

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Answer: (d)

From rest: $\theta = \frac{1}{2}\alpha t^2$ .
$\theta_1 = \frac{1}{2}\alpha(2)^2 = 2\alpha$ ; total in 4 s $= \frac{1}{2}\alpha(4)^2 = 8\alpha$ .
$\theta_2 = 8\alpha - 2\alpha = 6\alpha$
So the answer is (d) $1 : 3$ .

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Non-Uniform Circular Motion question from MHT CET 2025 (20 Apr, Shift 2)

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