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56. The deck surrounding an elliptical hot tub is to have an elliptical opening with a length of 6.00ft and a width of 4.00ft. Taking the origin at the center of the ellipse, find the width of the opening 2.00ft from its center. A. 1.49ft C. 2.98tt B. 1.73ft D. 3.46ft 57. Write the equation in standard form of an ellipse with vertical major axis 10 units long, center at (3,5), and whose distance between focal points is 8 units. A. 25(x3)2+16(y5)2=1 C. 25(xy)2+y(5)2=1 B. 16(x23)2+26(y5)2=1 D. 4(x2y2+25(yy5)3=1 58. Find the center 9x2+25y2+18x50y191=0. A. (1,1) B. (1,1) C. (2,2) D. (2,2) 59. The focal width of an ellipse that is 25m long and 10m wide is A. 3m B. 4m C.5mD.6m 60. Find the length of the minor axis of the ellipse 25x2+9y2+150x 126y234=0. A 6 units B. 8 units C. 10 units D. 12 units Fluid Mechanics 61. An engineer carrying a cylindrical tank that has a liquid (S=1.75) at a depth of 2.5m is accelerated vertically upward at 3.4m/s2. Determine the pressure at the bottom of the tank, in kl 3. A. 46.24 B. 33.03 C. 51.9 D. 57.8 62. A woman carrying a glass of water having a height of 50mm is inside the elavator with a downward deceleration of 4.7m/s2. Determine the pressure at the bottom of the glass. A. 0.073kPa B. 0.26kPa C. 0,026kPa D, 0.73kPa 63. A cylindrical hecket 150mm in diameter and 200mm high contains 175mm of water. A boy swings the bucket on a vertical plane so that the bottom of the bucket describes a circle of radius 1.5m. How fast should it be rotated so that no water will be spilled? A. 28.41rpm. B. 25.17rpm C. 27.53rpm D. 31.13rpm Situation 10 - An open cylindrical tank 3m high and 1m dlameter contains 2m of water. If the cylinder rotates about its geometrical axds. 64. What constant angular velocity can be attained without spilling any water? A. 119.62rpm C. 131.03rpm B. 189,13rpm D. 230.09rpm 65. What constant angular velocity can be attained if the depth of water at the center is 0.50m ? A. 138,98rpm C. 169.16rpm B. 192.88rpm D. 133.74rpm 66. What constant angular velocity can be attained if the volume spilled out is equal to 0.235m7 ? A. 136,34rpm C. 146.46rpm B. 200.13rpm D. 239.21rpm Situation 11 - A dosed cylindrical vessel 1.3m in diameter and 1.81m high is filled with water to a height of 1.43m. The vessel is rotated about its own vertical axis. 67. How fast shall it be rotated such that the water will just reach the top of the cylinder, in rpm? A. 50.36 B. 56.73 C. 58.42 D. 58.25 68. How fast shall it be rotated such that the vortex will just reach the bottom of the cylinder, in rpm? A.135.11B.163.58C.178.98D.125.65 69. When the vessel is rotated at 195rpm, what area is ancovered at the bottom of the tank, in square meters? A. 0.325 B. 1.131 C. 0,145 D. 2.362 Situation 12 - A closed cylindrical tank 1m in diameter and 2m tall is filled with water and rotated about its vertical axis at 1200rpm. 70. Compute the increase in pressure (kPa) at the rim of the tank. A. 19942 B. 23014 C. 1974.6 D. 2271.6 71. Compute the increase in pressure (kPa) at the center bottom of the tank. A. 0 B. 9.81 C. 19,62 D. 1000