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PHYSICS 231 Lecture 22: Pressure. Remco Zegers Walk-in hour: Thursday 11:30-13:30 am Helproom. Previously. Young’s modulus. Solids:. Shear modulus. Bulk modulus Also fluids. General:. P=F/A (N/m 2 =Pa) =M/V (kg/m 3 ). Force and pressure. Air (P=1.0E+5 Pa). P=0 Vacuum. A. F.
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PHYSICS 231Lecture 22: Pressure Remco Zegers Walk-in hour: Thursday 11:30-13:30 am Helproom PHY 231
Previously Young’s modulus Solids: Shear modulus Bulk modulus Also fluids General: P=F/A (N/m2=Pa) =M/V (kg/m3) PHY 231
Force and pressure Air (P=1.0E+5 Pa) P=0 Vacuum A F What is the force needed to move the lit? PHY 231
Magdeburg’s hemispheres Otto von Guericke (Mayor of Magdeburg, 17th century) PHY 231
Pressure vs Depth Horizontal direction: P1=F1/A P2=F2/A F1=F2 (no net force) So, P1=P2 Vertical direction: Ftop=PatmA Fbottom=PbottomA-Mg=PbottomA-gAh Since the column of water is not moving: Ftop-Fbottom=0 PatmA=PbottomA-gAh Pbottom=Patm+ gh PHY 231
Pressure and Depth: Pdepth=h =Pdepth=0+ gh Where: Pdepth=h: the pressure at depth h Pdepth=0: the pressure at depth 0 =density of the liquid g=9.81 m/s2 h=depth Pdepth=0=Patmospheric=1.013x105 Pa = 1 atm =760 Torr Pascal’s principle: If P0 changes then the pressures at all depths changes with the same value. PHY 231
A submarine A submarine is built in such a way that it can stand pressures of up to 3x106 Pa (approx 30 times the atmospheric pressure). How deep can it go? PHY 231
Does the shape of the container matter? NO!! PHY 231
Your homemade pressure difference meter (PART I) Pdepth=h =Pdepth=0+ gh h1 Part 2 on Friday! h2 PHY 231
Pascal’s principle In other words then before: a change in pressure applied to a fluid that is enclosed in transmitted to the whole fluid and all the walls of the container that hold the fluid. P=F1/A1=F2/A2 If A2>>A1 then F2>>F1. So, if we apply a small force F1, we can exert a very large Force F2. Hydraulic press demo PHY 231
Hydraulic brake What is the frictional torque about the axle exerted by the shoe on the wheel drum when a force of 44N is applied to the pedal? F=44N 6.4cm2 1.8 cm2 R=0.34 m coef of friction: 0.5 PHY 231
Pressure measurement. The open-tube manometer. The pressure at A and B is the same: P=P0+gh so h=(P-P0)/(g) PHY 231
Pressure Measurement: the mercury barometer P0= mercurygh mercury=13.6E+03 kg/m3 mercury,specific=13.6 PHY 231
Pressure at different altitudes The pressure in the lecture room equals 1 atm (1.013E+05 Pa). What will the pressure on the 6th floor of the BPS building be (h=20m)? And at the top of mount Everest (h=8500 m)? PHY 231