Lecture 6

# Lecture 6 - Physics 040B/001-S08 Review Simple Pendulum :...

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April 22, 2008 Physics 40B Lecture 6 1 Physics 040B/001-S08 Chap. 14:1-3 Fluid Pressure Review Simple Pendulum: T = 2 " # = 2 L g Physical Pendulum: T = 2 = 2 I mgd Damping Force: F d = ! bv = ! b dx dt " d 2 x dt 2 + b m dx dt + k m x = 0 Solution: x = Ae ! b 2 m ( ) t cos( t + \$ ) = k m ! 2 m ( ) 2 as long as b < 4 mk (Underdamped) Resonance when driven at “natural” frequency

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April 22, 2008 Physics 40B Lecture 6 2 Fluids-Chapter 15:1-3 Gases, Liquids ---> Fluids can ﬂow conform to boundaries of any container can only exert force at right angles to surface (no shear force) Gases very compressible, liquids are not very compressible Density of gases << density of liquids, Pressure Units of Pressure 1 Pascal (Pa) = 1 N/m 2 Atmospheric Pressure p o = 1.00 atm = 1.013 x 10 5 Pa = 101.3 kPa = 14.7 lb/sq. in. (psi)= 760 mm Hg " = mass volume kg / m 3 ( ) p = F " A = Force Area = Newtons m 2
April 22, 2008 Physics 40B Lecture 6 3 Demonstration of Atmospheric Pressure by Otto von Gericke A German physicist, engineer and natural philosopher who built the ﬁrst machine to create an electric spark (from static electricity). He invented the ﬁrst

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## This note was uploaded on 06/18/2008 for the course PHYS 40c taught by Professor Allenzych during the Spring '08 term at UC Riverside.

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Lecture 6 - Physics 040B/001-S08 Review Simple Pendulum :...

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