(4) Problem 16.14. Print your Excel spreadsheet. Clearly indicate your answer. 16.14 Find the optimal dimensions for a heated cylindrical tank designed to hold 10 m³ of fluid. The ends and sides cost $200/m² and $100/m², respectively. In addition, a coating is applied to the entire tank area at a cost of $50/m².

QV: a hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil if density psubscripto anc closed by two pistons. The small chamber on the right has diameter d and the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance L from the small piston, and a force of magnitude Fsubscript0 is applied vertically down at distance 2L from the hinge (Fig.5). You may assume that the lever and pistons have negligible mass.  a. Determine the magnitude of the force Fin that the small piston exerts on the fluid in the small cylinder. Hint: you may consider that the lever is at rest in the horizontal position. b. Determine the pressure change applied to the fluid by the small piston. c. Determine the magnitude Fout of the force that the fluid applies to the large piston.

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A simple rainwater collector used for home garden use is show below. It is comprised of an open-air water tank, a "compliant" or flexible tube, and a valve. To avoid overflow, the valve is set to open when the water in the tank reaches a height of 2m. The valve rests on the ground 3m beneath the tank's base. The outlet of the valve is open to atmosphere. a) Calculate the pressure at the bottom of the tank when the valve automatically opens. Pam = 101 kPa g = 9.81m/s2 H= 2m p = 998kg/m3 H= 1×10.5 Pa s Water Tank Tube (Smooth) h = 3m d = 5cm Valve 1= 4m

A simple rainwater collector used for home garden use is show below. It is comprised of an open-air water tank, a "compliant" or flexible tube, and a valve. To avoid overflow, the valve is set to open when the water in the tank reaches a height of 2m. The valve rests on the ground 3m beneath the tank's base. The outlet of the valve is open to atmosphere. a) Calculate the pressure at the bottom of the tank when the valve automatically opens. b) Calculate the pressure at the valve when it automatically opens. c) Assuming inviscid flow, estimate the average velocity of the water flowing through the tube at the moment when the valve automatically opens. Assume that the tank is very large compared to the tube, so that the velocity of the water at the top of the tank is zero. Assume that the valve provides no resistance to flow when opened. d) Using your answer to part c), calculate the rate of discharge in kg/s when the valve automatically opens. e) Using your answer to part c), estimate…

A simple rainwater collector used for home garden use is show below. It is comprised of an open-air water tank, a "compliant" or flexible tube, and a valve. To avoid overflow, the valve is set to open when the water in the tank reaches a height of 2m. The valve rests on the ground 3m beneath the tank's base. The outlet of the valve is open to atmosphere. a) Calculate the pressure at the bottom of the tank when the valve automatically opens. b) Calculate the pressure at the valve when it automatically opens. c) Assuming inviscid flow, estimate the average velocity of the water flowing through the tube at the moment when the valve automatically opens. ASsume that the tank is very large compared to the tube, so that the velocity of the water at the top of the tank is zero. Assume that the valve provides no resistance to flow when opened. d) Using your answer to part c), calculate the rate of discharge in kg/s when the valve automatically opens. e) Using your answer to part c), estimate…

Calculate the fluid force on one side of a 5 ft by 5 ftsquare plate if the plate is at the bottom of a pool filled with waterto a depth of 8 ft anda. lying flat on its 5 ft by 5 ft face.b. resting vertically on a 5-ft edge.c. resting on a 5-ft edge and tilted at 45° to the bottom of the pool

36. Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. Note: The density of water is 62.4 lbs per cubic foot.

3. An 8 ft diameter cylinder weights 500 lb and rests on the bottom of a tank that is 3 ft long. Water and oil (SG=0.75) are poured into the left and right hand portions of the tank to the depths of 2 ft and 4 ft respectively. Assume that water has a specific weight of 62.4 lb/ft³. a) Compute the magnitude of the horizontal forces pushing on the tank. What is the net force? 2 2 3.4642 D B sp gr 0.750 b) Compute the magnitude of the net vertical forces pushing on each side of the tank.