The angular velocity of a gear is controlled according to ω = 28 − 4t2 where ω, in radians per second, is positive in the clockwise sense and where t is the time in seconds. Find the net angular displacement Δθ (poisitive in the clockwise sense) from the time t = 0 to t = 3 s. Also find the total number of revolutions N through which the gear turns during the 3 seconds.
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The angular velocity of a gear is controlled according to ω = 28 − 4t2 where ω, in radians per secon...
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