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mws_mec_int_txt_trapcontinous_examples

# mws_mec_int_txt_trapcontinous_examples - Chapter 07.02...

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07.02.1 Chapter 07.02 Trapezoidal Rule for Integration-More Examples Mechanical Engineering Example 1 A trunnion of diameter 3 36 . 12 has to be cooled from a room temperature of F 80 before it is shrink fit into a steel hub (Figure 1). Figure 1 Trunnion to be slid through the hub after contracting. The equation that gives the diametric contraction, in inches of the trunnion in dry-ice/alcohol (boiling temperature is F 108 ) is given by:  108 80 6 9 2 11 10 015 . 6 10 1946 . 6 10 2278 . 1 363 . 12 dT T T D a) Use single segment Trapezoidal rule to find the contraction. b) Find the true error, t E , for part (a). c) Find the absolute relative true error for part (a). Solution a)   2 b f a f a b I , where 80 a 108 b    6 9 2 11 10 015 . 6 10 1946 . 6 10 2278 . 1 363 . 12 T T T f       6 9 2 11 10 015 . 6 80 10 1946 . 6 80 10 2278 . 1 363 . 12 80 f 5 10 9519 . 7

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mws_mec_int_txt_trapcontinous_examples - Chapter 07.02...

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