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An saw blade starts from 3 rad/s and accelerates at 3 rad/s2 and covers 495 rad. Determine the time it takes. Note, the formula will
An saw blade starts from 3 rad/s and accelerates at 3 rad/s2 and covers 495 rad. Determine the time it takes. Note, the formula will still have t and t2 so it's a quadratic equation, and we can use the quadratic formula: use quadratic formula Steps: Simplify as much as possible and arrange in descending order - that is, get everything on one side of the equation with a zero on the other side and rearrange the terms so that t2 comes first, t comes second and the constant term is last the quad formula has a, b, and c which are the coefficients of the t2 term, the t term and the constant term including the positive or negative signs example: If 4 = 2 t + 1/2 (8) t2 Simplify 1/2 (8) = 4, subtract 4 from both sides and rearrange the terms to get 0 = 4t2 + 2t - 4 now a = 4, b = 2, c = -4 plug these into the quadratic formula and get the two solutions, one when we use the + and the other when we use the - in the formula, just before the square root. Usually we want the positive solution (-2+(22-4(4)(-4))).(2*4) = 0.78 (-2-(22-4(4)(-4))).(2*4) = -1.3
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