A hydraulic press contains 0.25 m³ (250 L) of oil. Find the decrease in the volume of the oil when it is subjected to a pressure increase Ap = 1.6 × 107 Pa (about 160 atm or 2300 psi). The bulk modulus of the oil is B = 5.0 × 10° Pa (about 5.0 × 10* atm), and its compressibility is k = 1/B = 20 × 10¯ atm¯¹.
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- A block of solid aluminum sits on a flat, level surface. Aluminum has a density of 2.71 ✕ 103 kg/m3. The mass of the block is 23.8 kg. (a) What is the volume of the block (in m3)? _________ (b) The amount of surface area of the block in contact with the surface is 3.53 ✕ 10−2 m2. What is the average pressure (in Pa) exerted on the surface by the block? _____________ PaA block of solid iron sits on a flat, level surface. Iron has a density of 7.85 ✕ 103 kg/m3. The mass of the block is 21.8 kg. (a) What is the volume of the block (in m3)? _____m3 (b) The amount of surface area of the block in contact with the surface is 2.13 ✕ 10−2 m2. What is the average pressure (in Pa) exerted on the surface by the block? _____PaWhen a fluid flows in a pipe, the friction between the fluid and the surface of the pipe is given by the coefficient of viscosity n, defined by the equation FIA = n(du/ds), where Fis the force of fric- tion acting across an area A and du/ds is the velocity gradient between layers of fluids. (a) What are the units of n? (b) If AP is the pressure difference and is directly proportional to Al, by using the method of di- mensional analysis, show that AP constant AI