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A 2-m diameter cylindrical vessel 3 m high is completely filled with glycerin, s = 1.6,...

A 2-m diameter cylindrical vessel 3 m high is completely filled with glycerin, s = 1.6, under a pressure of 243 kPa. The plates used are 12 mm thick and capable of withstanding a unit stress of 83 MPa.

a. What is the greatest pressure can be carried by the cylinder?

b. What maximum angular speed in rpm can be given to the cylinder?

c. What maximum angular speed in rpm can be given to the cylinder if the pressure at top is initially zero?

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