A very tall 10-cm-diameter vase contains 1178 cm 3 of water.When spun steadily to achieve rigid-body rotation, a 4-cmdiameterdry spot appears at the bottom of the vase. Whatis the rotation rate, in r/min, for this condition?

Required information Determine the dimension {MLT} of the following quantities: ?u pu əx

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Find the center of mass of a uniform slice of pizza with radius R and angular width \theta Express your answer in terms of the variables R and \theta .

Question 2. A fluid of density p is contained in a cylinder of radius R as shown in the Figure below. The cylinder and the fluid are both spinning at an angular velocity w. Due to the spin, the difference in elevation of the fluid's free surface between the rim of the cylinder and its centre is h. Taking the acceleration due to gravity as g, answer the following, while showing all your work: (a) If h is thought to be a function of the other parameters in the problem (R, p, g, and w), generate all the non-dimensional parameters in the problem without choosing the acceleration due to gravity as a repeating variable. (b) Show that at least one of the non-dimensional parameters can be recast as the Froude number for the problem. Additionally, show the functional relationship between the independent and dependent non-dimensional parameters. (c) Through an experimental design of your choice, explain how and with how many experiments, you would determine the functional form of the…