The figure shows a pendulum with length L that makes a maximum angle 8g with the vertical. Using Newton's Second Law, it can be shown that the period T (the time for one complete swing) is given by dx T = 4 V1- k2 sin?(x) where k = sin00) and g is the acceleration due to gravity. If L = 2 m and eo = 42°, use Simpson's Rule with n = 10 to find the period. (Use g = 9.8 m/s². Round your answer to five decimal places.) 14.39026 xS

Trigonometry (MindTap Course List)
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Chapter3: Radian Measure
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The figure shows a pendulum with length L that makes a maximum angle 8o with the vertical. Using Newton's Second Law, it can be shown that the period T (the time for one complete swing) is
given by
2/2
dx
T = 4
V1- k² sin²(x)
where k = sin0
and g is the acceleration due to gravity. If L = 2 m and en = 42°, use Simpson's Rule with n = 10 to find the period. (Use g = 9.8 m/s2. Round your answer to five decimal
places.)
14.39026 xs
Transcribed Image Text:The figure shows a pendulum with length L that makes a maximum angle 8o with the vertical. Using Newton's Second Law, it can be shown that the period T (the time for one complete swing) is given by 2/2 dx T = 4 V1- k² sin²(x) where k = sin0 and g is the acceleration due to gravity. If L = 2 m and en = 42°, use Simpson's Rule with n = 10 to find the period. (Use g = 9.8 m/s2. Round your answer to five decimal places.) 14.39026 xs
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