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# 9-2. The profile of a gear tooth shown in Fig. P9.2 is approximated by the trigonometric equation y(x) = a. Estimate the area A

## 9-2. The profile of a gear tooth shown in Fig. P9.2 is approximated by the trigonometric equation y(x) = a. Estimate the area A using eight rectangles of equal width A x = 1/8, b. Calculate the exact area by integration, y k 1 - cos 8 A = (1) .. A = i=1 = S y(x) dx. Area, A 0 0 | Ax | 1 Figure P9.2 Profile of a gear tooth for problem P9-2. x

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