The fuel tanks for airplanes are in the wings, cross section below. The tank must hold 6000 lb of fuel with density 42 lb/ft$^3$. Estimate the length of the tank using Simpson's Rule. $y_0 = 1.4$ ft, $y_1 = 1.6$ ft, $y_2 = 1.8$ ft, $y_3 = 1.9$ ft, $y_4 = 2.1$ ft, $y_5 = 2.4$ ft, $y_6 = 2.2$ ft Horizontal spacing = 1.8 ft The length of the tank is ft.
Added by James G.
Close
Step 1
The horizontal spacing is given as 1.8 ft, so each interval has a width of 1.8 ft. Show more…
Show all steps
Your feedback will help us improve your experience
Alec Traaseth and 78 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The fuel tanks for airplanes are in the wings, cross section below. The tank must hold 5400 lb of fuel with density 42 lb/ft³. Estimate the length of the tank using Simpson's Rule. Horizontal spacing = 1.2 ft, y0 = 1.4 ft, y1 = 1.5 ft, y2 = 1.7 ft, y3 = 1.9 ft, y4 = 2.1 ft, y5 = 2.3 ft, y6 = 2.2 ft. The length of the tank is ft. (Round to the nearest tenth as needed.)
Oswaldo J.
A large tank is designed with ends in the shape of the region between the curves $y=\frac{1}{2} x^{2}$ and $y=12,$ measured in feet. Find the hydrostatic force on one end of the tank if it is filled to a depth of 8 $\mathrm{ft}$ with gasoline. (Assume the gasoline's density is 42.0 $\mathrm{lb} / \mathrm{ft}^{3} . )$
Further Applications of Integration
Applications to Physics and Engineering
A large tank is designed with ends in the shape of the region between the curves y = x^2/2 and y = 12, measured in feet. Find the hydrostatic force (in lb) on one end of the tank if it is filled to a depth of 8 ft with gasoline. Assume the gasoline's density is 42.0 lb/ft^3.
Eduard S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD