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# hw8 - zhou(cz3574 HW8 mackie(10611 This print-out should...

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zhou (cz3574) – HW8 – mackie – (10611) 2 Correct answer: 62 . 6273 rad / s 2 . Explanation: Let : t = 2 . 86 s , Δ θ = 18 . 5 rev , and ω f = 130 . 2 rad / s . From kinematics ω f = ω 0 + α t ω 0 = ω f α t , so Δ θ = ω 0 t + 1 2 α t 2 = ( ω f α t ) t + 1 2 α t 2 = ω t 1 2 α t 2 α = 2 ( ω t Δ θ ) t 2 Since ω t Δ θ = (130 . 2 rad / s) (2 . 86 s) (18 . 5 rev) 2 π 1 rev = 256 . 133 rad , α = 2 (256 . 133 rad) (2 . 86 s) 2 = 62 . 6273 rad / s 2 . 004 10.0 points A rotating bicycle wheel has an angular speed of 62 / s at 4 . 8 s and a constant angular acceleration of 36 / s 2 . With the center of the wheel at the origin, the valve stem is on the positive x -axis (horizontal) at t 0 = 1 . 1 s.
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hw8 - zhou(cz3574 HW8 mackie(10611 This print-out should...

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