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30 June, 01:27

circular saw blade of diameter 0.190 m starts from rest. In a time interval of 5.80 s it accelerates with constant angular acceleration to an angular velocity of 145 rad/s. Part A Find the angular acceleration. Express your answer in radians per second squared. α = nothing rad/s2 Request Answer Part B Find the angle through which the blade has turned. Express your answer in radians. θ = nothing rad Request Answer Provide Feedback

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  1. 30 June, 05:02
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    We shall apply newton's law equation valid for rotational motion.

    ωt = ω₀ + α t where ωt is angular velocity after time t, ω₀ is angular velocity at t = 0 and α is angular acceleration

    145 = 0 + α x 5.8

    α = 25 rad / s²

    B)

    θ = ω₀ t + 1/2 α t²

    = 0 +.5 x 25 x 5.8 x 5.8

    = 420.5 rad.
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