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9 September, 09:53

The crankshaft in a race car goes from rest to 3000 rpm in 3.0 s. (a) What is the crankshaft's angular acceleration?

(b) How many revolutions does it make while reaching 3000 rpm?

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  1. 9 September, 10:14
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    75 rotations

    Explanation:

    f0 = 0, f = 3000 rpm = 50 rps, t = 3 s

    (a) use first equation of motion for rotational motion

    w = w0 + α t

    2 x 3.14 x 50 = 0 + α x 3

    α = 104.67 rad/s^2

    (b) Let θ be the angular displacement

    use second equation of motion for rotational motion

    θ = w0 t + 1/2 α t^2

    θ = 0 + 0.5 x 104.67 x 3 x 3

    θ = 471.015 rad

    The angle turn in one rotation is 2 π radian.

    Number of rotation = 471.015 / (2 x 3.14) = 75 rotations
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