Problem Set in Fluid Mechanics Problem #1 (Pascal's Principle) h, = ? R= 0.24 m h2 = 1 meter At what height (h,) will the barrel experience a Force of 500,000 N?Problem #2 {Archimedes Principle) Derive an equation to determine the fraction of the object that will be submerged in liquid. N Ute: o For floating objects, BF = Weight of the object - Archimedes Principle says that BF = Weight of the Displaced Liquid Free Body Diagram: x part of object submerged y - part of object afloat L length of the object h - height of the object Problem #3 (Bernoulli's Principle) Derive an equation to solve the velocity of the water coming out the tube (V2) of a water tower with height h. P1 h V2 =? P 2 Note: The pressure at the opening of the tower and at opening of the tube are equal (P1 = P2) since the openings are exposed to atmospheric pressure