Considering the problem of Example 9.13, for what values of l does the approximation have a percentage

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Considering the problem of Example 9.13, for what values of l does the approximation

L = 21 + (R-r) 1 + 3.14(R + r)

have a percentage error of less than 0.05% when R = 5 and r = 4?


Data from Example 9.13

The continuous belt has length L given by

L = 2[1 (Rr)]/ + (R + r) + 2(R = r) sin- - R-r 1

Show that when R – r ≪ l, a good approximation to L is given by

L 21+ (R + r) + (R = r)/l

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