Part 3 of 6-Step 3 The equation for the pressure P of an incompressible, static fluid on the Earth as a function of depth y below the surface. is also called the equation for hydrostatic equilibrium. P = pgy + Po Suppose salt water has flooded the interior of a large oil tank of oil h = 3.00 m deep, as seen in the figure below.. = a depth of h 5.00 m. On top of the water is a layer Air Po Oil m P Water Phot The oil has a density of 700 kg/m, and the saltwater has a density of 1,025 kg/m. The air above the oil is at standard atmospheric pressure, or 1.01 x 105 Pa. What is the pressure at the bottom of the oil layer? x Incorrect. Use the equation for pressure as a function of depth. Be sure to use the corr Now, knowing the pressure at the top of the water layer, calculate the pressure at the b < x Incorrect. Use the equation for pressure as a function of depth. Be sure to use the corr note that PO is the pressure you solved for at the bottom of the oil layer and not atmosp Part 1 of 4-Step 1: Defining Pressure Pressure is a measure of the force applied to the unit area of a surface, where the force is perpendicular to the surface over which it is distributed. Functionally, this relationship is written as where the SI unit of pressure is N/m, also known as a pascal (Pa). For gases, this pressure is the force exerted by the gas molecules on the wall of a vessel (e.g., a gas tank or balloon). That pressure can be different at different points in the area of interest-meaning that for gases, the expression above is an average pressure. Since pressure is just a force per unit area, the concept applies solids, liquids, and gases. Nails have a pointed tip. The circular tip of a nail can be very small, with diameters of less than a millimeter. When you think of this design from the perspective of pressure, it makes sense that the tip of the nail is pointed, rather than flat. The design is intended to support delivering a large amount of force to a small area. For example, consider driving a nail into a wooden plank by hitting it with a hammer such that it applies a force of 1500 N. What is the resulting pressure (in N/m2) at the tip of the nail if it has a diameter of 0.6 mm? x If you know the applied force and the area at which the force is applied, how do you relate the two to the pressure? N/m 6. [0/1 Points] DETAILS MY NOTES OSCOLPHYS2 11.3.WA.008. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER A 4.5-kg, three legged stool supports a 71-kg person. If each leg of the stool has a cross-sectional diameter of 3.0 cm and the weight of the person is evenly distributed, determine the pressure exerted on the floor by each leg. Can you write an expression for pressure in terms of force and area? How much weight is supported by each leg and what is the end area of each leg? Pa 10. [1/4 Points] DETAILS MY NOTES OSCOLPHYS2 11.6.P.029. ASK YOUR TEACHER PRACTICE ANOTHER 8. [2/3 Points] DETAILS MY NOTES OSCOLPHYS2 11.4.WA.010. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER You inflate the tires of your car to a gauge pressure of 36.0 lb/in. If your car has a mass of 1575 kg and is supported equally by its four tires, determine the following. (a) Contact area between each tire and the road x Can you write an expression for the pressure in terms of the force and area? Which pressure are we interested in, gauge, atmospheric or absolute? Notice that the mass rather than weight is given for the car. m (b) Will the contact area increase, decrease, or stay the same when the gauge pressure is decreased? O increase O decrease O stay the same (c) Gauge pressure required to give each tire a contact area of 105 cm PREVIOUS ANSWERS Find the gauge and absolute pressures in the balloon and peanut jar shown in the figure below, assuming the manometer connected to the balloon uses water whereas the manometer connected to the jar contains mercury. 53.34 Additional Materials eBook. Open to atmosphere Meter stick Open to atmosphere Meter stick Open to atmosphere Meter stick Submit Answer lb/in 9. [0/1 Points] DETAILS MY NOTES OSCOLPHYS2 11.4.WA.011. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER P-hog PP+hog P--hpg PP-hog Express O units of centimeters of water for the balloon and millimeters of mercury for the jar, taking h=0.0311 m for each. As shown in the figure below, a hydraulic system has two pistons of different diameter and uses a liquid of density p 850 kg/m. The smaller piston has a diameter of 6.1 cm and a mass of 1.6 kg and the larger piston a diameter of 14 cm and a mass of 2.6 kg. Determine h, the height difference between the two pistons. x Since the fluid is static, how does the pressure created on the fluid by the smaller piston compare to the pressure created on the fluid at the level of the dashed line by the larger piston and the weight of the fluid above this level? m ballon gauge pressure ballon absolute pressure jar gauge pressure jar absolute pressure. + 3.12 cm HO xcm HO. x mm Hg X mm Hg Additional Materials eBook Submit Answer