consider a new dam where the height is doubled and the width is only one third of the original value. the ratio of the total force exerted on the new dam to that on the original dam fnew f is given by

Respuesta :

the total force exerted on the new dam to that on the original dam f new is given by F = 624010000 lb.

What is Pascal's Principle.?

Consider a flat surface that is immersed vertically in a fluid whose weight density is p, according to Pascal's Principle.

A flat surface experiences fluid force (F) which is

F = ∫ph(x)w(x) dx

where h(x) is the height of the point x in the x-axis' vertical direction and w(x) is the surface's width.

to determine fluid force applied

Assume that x is equal to the height of the water. At height x on the dam, width of the dam is w(x) = 200 ft (given), and height is h(x) = x ft.

F = ∫ph(x)w(x) dx

F =0→100 ∫62.4 x  200 dx

F = 12480*  0 →100∫ x dx

F = 12480*  0 →100(x²/2)

F =

F = 6240((100)²- (0)²)

F= 6240(10000)

F = 624010000 lb

Hence the total force exerted on the new dam to that on the original dam f newf is given by F = 624010000 lb.

Learn more about Pascal's Principle, by the following link.

https://brainly.com/question/4262025#:~:text=Expert%2DVerified%20Answer&text=Pascal's%20law%20of%20fluid%20transfer,diameter%20in%20the%20orifice%20part.

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