A cross section of a racing sailboat is shown in Fig. (4-a). Wind force (f) exerted per foot of mast from the sails vary as a function of distance above the deck of the boat (z) as in Fig. (4-b). The total force (F) exerted on the mast can be expressed as the integral of a continuous function 2430 t rz3D30 F = 200 e-2z/30 dz 5+z/ Mast support cables Z=0 Mast Wind Compute F over z = 0 to 30 ft using the multiple-application Simpson's 1/3 rule with equal width segment Az (b) = 5 ft. 3 ft Fig. (4) (a)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A cross section of a racing sailboat is shown in Fig. (4-a). Wind force (f) exerted per foot of mast from
the sails vary as a function of distance above the deck of the boat (z) as in Fig. (4-b). The total force
(F) exerted on the mast can be expressed as the integral of a continuous function
2 30 ft
200 ()-
r%3D30
F%3=
-2z/30 dz
5+z/
Mast
support
cables
Mast
Wind
Compute F over z = 0 to 30 ft using the
multiple-application Simpson's 1/3 rule with
equal width segment Az = 5 ft.
(b)
%3D
3 ft
Fig. (4)
(a)
Transcribed Image Text:A cross section of a racing sailboat is shown in Fig. (4-a). Wind force (f) exerted per foot of mast from the sails vary as a function of distance above the deck of the boat (z) as in Fig. (4-b). The total force (F) exerted on the mast can be expressed as the integral of a continuous function 2 30 ft 200 ()- r%3D30 F%3= -2z/30 dz 5+z/ Mast support cables Mast Wind Compute F over z = 0 to 30 ft using the multiple-application Simpson's 1/3 rule with equal width segment Az = 5 ft. (b) %3D 3 ft Fig. (4) (a)
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