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14 October, 01:37

A bar on a hinge starts from rest and rotates with an angular acceleration α = 15+4t, where α is in rad/s2 and t is in seconds. Determine the angle in degrees through which the bar turns in the first 2.00 min.

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  1. 14 October, 01:46
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    201,000°

    Explanation:

    α = 15 + 4t

    ω = 15t + 2t²

    θ = 7.5t² + ⅔ t³

    At t = 120 s:

    θ = 7.5 (120) ² + ⅔ (120) ³

    θ = 1,260,000 radians

    θ ≈ 201,000°
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