Plot the x and y position of the water stream as a function of time, plot the path of the water stream will flow as a function of time, and plot the components of velocity of the water stream as a function of time.

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A semicircular 40 ft diameter− − tunnel is to be built under a150 ft deep− − , 800 ft long− − lake, as shown below. a) Determine the horizontal, vertical, and resulting hydrostatic forces acting on this tunnel. (Answer: 8 8 8 1.398 10 , 2.596 10 , 2.64 10H y netF lbf F lbf F lbf= × = × = × ) b) Calculate the hydrostatic force on the bottom of the lake if the tunnel was not there, and compare it with the total (resulting) hydrostatic force that you calculated in part (a). (Answer: 8 2.995 10VF lbf= × ) c) As the design engineer of this tunnel would you take the hydrostatic force on the bottom of the lake as a rough estimate of the resulting hydrostatic force acting on this tunnel. Discuss your decision.

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Chapter 18, Problem 3P

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Plot the x and y position of the water stream as a function of time, plot the path of the water stream will flow as a function of time, and plot the components of velocity of the water stream as a function of time.

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A semicircular 40 ft diameter− − tunnel is to be built under a150 ft deep− − , 800 ft long− − lake, as shown below. a) Determine the horizontal, vertical, and resulting hydrostatic forces acting on this tunnel. (Answer: 8 8 8 1.398 10 , 2.596 10 , 2.64 10H y netF lbf F lbf F lbf= × = × = × ) b) Calculate the hydrostatic force on the bottom of the lake if the tunnel was not there, and compare it with the total (resulting) hydrostatic force that you calculated in part (a). (Answer: 8 2.995 10VF lbf= × ) c) As the design engineer of this tunnel would you take the hydrostatic force on the bottom of the lake as a rough estimate of the resulting hydrostatic force acting on this tunnel. Discuss your decision.

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