Explanation Given information: The vertical cross section of a tank containing the seawater is given by Formula used: Suppose a flat surface is submerged vertically in a fluid of weight density δ and that the submerged portion of the plate extends from h = a to h = b on the vertical axis. Then the total force exerted by the fluid is given by of area A is submerged horizontally at a depth h in a fluid, the weight of the fluid exert a force called fluid force which is given by F = ∫ a b δ h L ( h ) d h Calculation: The weight density of Sea 20 oil is 57.0 l b / f t 3 Consider the coordinate system in which the horizontal axis lies at the fluid surface and the positive vertical axis points down. The thin slab has thickness Δ h and length L. Then, we have L = 2 x = 2 4 − y 2 The area of the slab is Δ A = L Δ h = 2 4 − y 2 Δ h Then the required fluid force is given by F = ∫ 0 2 δ h L ( h ) d h = ∫ 0 2 ( 57

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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Chapter 6 Solutions

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Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
A stamped sheet steel plate is shown in Figure 164. Compute dimensions AF to 3 decimal places. All dimensions are in inches. A=_B=_C=_D=_E=_F=_
Refer to Figure 29-9 to determine the values in the table. Allowance is equal to the maximum interference. All dimensions are in millimeters

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The fluid force against the end of the tank.

Solution Summary: The author explains how the fluid force against the end of the tank is 304lb.

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Chapter 6 Solutions