1/9/2015 Pressure Notes Back of the examples for Pressure WS #1 is homework 1. Copy the examples into your notes. 2. The solutions to the examples are at the end. 3. Start on your homework. 4. Bring your textbook to class on January 13, 2014. 5. Be prepared to ask specific questions on Wednesday after the quiz. Pressure and Pascal’s Principle P = F/A P1 =P2 1 1/9/2015 Review: Properties of Static Fluids The properties useful for describing a static fluid at a point are: Density: Mass of a given volume of the substance divided by its volume, given by r = Density m r V Unit: metric unit is kg/m3, often expressed in g/cm3. Be able to do the conversions from g/cm3 to kg/m3. Review: Properties of Static Fluids (cont.) The following table lists the densities of some common substances in kg/m3. Material Water Iron Mercury Ice Density (kg/m3) 1000 7900 13600 917 2 1/9/2015 Pressure formula is: P = F/A Pressure: Definition: Force exerted by a fluid at a point divided by the area of the surface, given by P = F/A Unit: The metric unit is Pa = N/m2, given the name Pascal. The following figure depicts the calculation of pressure in the case of a small vertical cylinder filled with a fluid and with its base at the point. Measurement of Atmospheric Pressure The atmospheric pressure at any point can be measured using a simple device called a mercury barometer that works on the basis of P=hrg where, P is the pressure, h is the depth of the fluid, r is the density of the fluid, and g is the acceleration due to gravity. The following figure depicts a mercury barometer. 3 1/9/2015 Pascal’s Principle P 1 = P2 Statement: When pressure is applied to an enclosed static fluid, the pressure is transmitted undiminished to every part of the fluid. This means the pressure is constant at all points. Example: A device called the hydraulic press or lever works on Pascal’s principle, as shown in the following figure: P1 = P2 F1/A1 = F2/A2 A1 F1 F2 A2 4
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